Thursday, 5 March 2026

Ch 15: 5 Full-Length Mock Tests (Paper 1: Mathematics Section) 📝⏱️

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Chapter 15: 5 Full-Length Mock Tests (Paper 1: Mathematics Section) 📝⏱️

Welcome, PSTET Aspirants! 🌟

You've reached the final frontier of your preparation! This chapter contains 5 full-length mock tests designed to simulate the actual PSTET Paper 1 Mathematics section. Each test has 30 questions following the official pattern: 15 Content Questions and 15 Pedagogy Questions .

These time-bound exercises will help you:

  • Improve your speed and accuracy ⚡

  • Identify your strengths and weaknesses 🔍

  • Get comfortable with the exam format 📋

  • Build confidence before the big day 💪

Let's begin the final countdown! 🚀


PSTET Paper 1 Mathematics: Exam Pattern at a Glance 📊

AspectDetails
Total Questions30 MCQs 
Total Marks30 Marks (1 mark per question) 
Content Questions15 Questions (Topics from Part I)
Pedagogy Questions15 Questions (Topics from Part II)
Negative MarkingNo negative marking 
Exam Duration2 hours 30 minutes (total for all 5 subjects)
Recommended Time for Math Section30-35 minutes

Strategy Tip: Since there's no negative marking, attempt all questions! Even if you're unsure, make an educated guess .


Mock Test 1 📝

Time: 35 Minutes | Total Questions: 30 | Marks: 30


Section A: Content Questions (1-15)

1. The place value of 6 in 5,62,348 is:

  • a) 6

  • b) 600

  • c) 60,000

  • d) 6,000

2. 345 + 287 = ?

  • a) 622

  • b) 632

  • c) 522

  • d) 532

3. 504 - 287 = ?

  • a) 217

  • b) 227

  • c) 317

  • d) 207

4. Which of the following is the smallest 4-digit number formed using digits 3, 0, 7, 1 (using each digit only once)?

  • a) 0137

  • b) 1037

  • c) 1073

  • d) 1307

5. 15 × 12 = ?

  • a) 150

  • b) 170

  • c) 180

  • d) 190

6. 144 ÷ 12 = ?

  • a) 10

  • b) 11

  • c) 12

  • d) 13

7. Convert 7 metres 45 centimetres into centimetres:

  • a) 745 cm

  • b) 7045 cm

  • c) 7450 cm

  • d) 70045 cm

8. 3 kg 250 g + 2 kg 750 g = ?

  • a) 5 kg 1000 g

  • b) 6 kg

  • c) 5 kg 500 g

  • d) 6 kg 500 g

9. A bottle contains 2 litres 500 ml of juice. How many 250 ml glasses can be filled?

  • a) 8 glasses

  • b) 10 glasses

  • c) 12 glasses

  • d) 15 glasses

10. If 6 notebooks cost ₹150, what is the cost of 10 notebooks?

  • a) ₹200

  • b) ₹225

  • c) ₹250

  • d) ₹275

11. What time is shown when the hour hand is between 8 and 9, and the minute hand is at 6?

  • a) 8:06

  • b) 8:30

  • c) 9:30

  • d) 8:60

12. How many minutes are there in 4 hours 15 minutes?

  • a) 240 minutes

  • b) 245 minutes

  • c) 255 minutes

  • d) 415 minutes

13. Identify the pattern: 3, 6, 11, 18, 27, ___ , ___ .

  • a) 36, 47

  • b) 38, 51

  • c) 40, 55

  • d) 39, 54

14. In a pictograph, one symbol represents 5 children. If there are 9 symbols for "Football", how many children like football?

  • a) 9 children

  • b) 14 children

  • c) 45 children

  • d) 54 children

15. The product of two numbers is 864 and their quotient is 6. The sum of numbers is:

  • a) 60

  • b) 84

  • c) 96

  • d) 120


Section B: Pedagogy Questions (16-30)

16. According to NCF 2005, the main aim of teaching mathematics at the primary level is to: 

  • a) Develop speed in calculations

  • b) Develop the child's ability to mathematize

  • c) Prepare students for competitive exams

  • d) Complete the textbook syllabus

17. A child solves 53 - 27 = 34. This error indicates:

  • a) Lack of practice

  • b) Misunderstanding of borrowing concept

  • c) Carelessness

  • d) Poor memory

18. Which of the following is a low-cost teaching-learning material for teaching place value? 

  • a) Plastic base-ten blocks

  • b) Bundles of ice cream sticks

  • c) Laptop with math software

  • d) Commercial place value chart

19. The process of identifying specific learning difficulties and designing interventions is called: 

  • a) Evaluation

  • b) Diagnosis and Remediation

  • c) Assessment for learning

  • d) Continuous assessment

20. When a child counts on fingers to solve 7 + 4, this strategy is:

  • a) Inappropriate and should be discouraged

  • b) Developmentally appropriate at certain stages

  • c) A sign of learning disability

  • d) Only for slow learners

21. According to Piaget, children in primary grades (7-11 years) are in which stage? 

  • a) Sensorimotor stage

  • b) Pre-operational stage

  • c) Concrete operational stage

  • d) Formal operational stage

22. Asking a child "How did you get that answer?" helps the teacher to: 

  • a) Check if the answer is correct

  • b) Understand the child's thinking process

  • c) Give marks for explanation

  • d) Identify careless mistakes only

23. Using the local market as a resource for teaching money is an example of: 

  • a) Activity-based learning

  • b) Community mathematics

  • c) Textbook teaching

  • d) Remedial teaching

24. CCE stands for: 

  • a) Continuous and Comprehensive Evaluation

  • b) Central Council of Education

  • c) Continuous Calculation Exercise

  • d) Comprehensive Child Evaluation

25. Which of the following is an example of Assessment FOR Learning? 

  • a) Term-end examination

  • b) Observing students during group work

  • c) Final board examination

  • d) Unit test for report card

26. A portfolio in mathematics assessment is: 

  • a) A folder containing all test papers

  • b) A collection of student work showing progress over time

  • c) A record of attendance

  • d) A file of lesson plans

27. The main purpose of error analysis in mathematics is to: 

  • a) Assign grades to students

  • b) Understand children's thinking and misconceptions

  • c) Compare students with each other

  • d) Identify what students don't know

28. According to NEP 2020, Foundational Literacy and Numeracy (FLN) aims to achieve universal foundational skills by: 

  • a) 2020

  • b) 2025

  • c) 2030

  • d) 2040

29. A teacher should view children's errors in mathematics as: 

  • a) Failures to be penalized

  • b) Windows into children's thinking

  • c) Signs of low intelligence

  • d) Reasons to lower grades

30. The concept of "zero" is best introduced to young children by:

  • a) Writing '0' on the board

  • b) Showing an empty set or container

  • c) Memorizing that 0 means nothing

  • d) Solving problems like 5 - 5 = 0


Mock Test 2 📝

Time: 35 Minutes | Total Questions: 30 | Marks: 30


Section A: Content Questions (1-15)

1. 567 + 289 = ?

  • a) 846

  • b) 856

  • c) 746

  • d) 756

2. 705 - 468 = ?

  • a) 237

  • b) 247

  • c) 337

  • d) 243

3. Which number is the greatest?

  • a) 4,567

  • b) 4,576

  • c) 4,657

  • d) 4,675

4. 18 × 7 = ?

  • a) 126

  • b) 136

  • c) 116

  • d) 146

5. 225 ÷ 15 = ?

  • a) 12

  • b) 15

  • c) 18

  • d) 21

6. What is the remainder when 79 is divided by 8?

  • a) 5

  • b) 6

  • c) 7

  • d) 8

7. 4 km 350 m is equal to:

  • a) 4350 m

  • b) 4035 m

  • c) 435 m

  • d) 40035 m

8. A bag of wheat weighs 12 kg 500 g. What is its weight in grams?

  • a) 12500 g

  • b) 12050 g

  • c) 1250 g

  • d) 120500 g

9. 3 litres 250 ml - 1 litre 500 ml = ?

  • a) 1 litre 750 ml

  • b) 2 litre 750 ml

  • c) 1 litre 250 ml

  • d) 2 litre 250 ml

10. If a dozen eggs cost ₹72, what is the cost of 3 eggs?

  • a) ₹12

  • b) ₹15

  • c) ₹18

  • d) ₹24

11. How many days are there in February in a non-leap year?

  • a) 28 days

  • b) 29 days

  • c) 30 days

  • d) 31 days

12. A school starts at 8:15 AM and closes at 2:30 PM. How long is the school day?

  • a) 6 hours 15 minutes

  • b) 5 hours 45 minutes

  • c) 6 hours 30 minutes

  • d) 5 hours 15 minutes

13. Complete the pattern: 2, 5, 10, 17, 26, ___ , ___ .

  • a) 35, 46

  • b) 37, 50

  • c) 38, 52

  • d) 36, 47

14. The mode of the data: 4, 5, 6, 4, 7, 4, 8, 5 is:

  • a) 4

  • b) 5

  • c) 6

  • d) 7

15. If a : b = 2 : 3 and b : c = 4 : 5, then a : c = ?

  • a) 8 : 15

  • b) 2 : 5

  • c) 3 : 5

  • d) 4 : 5


Section B: Pedagogy Questions (16-30)

16. According to NCF 2005, mathematics teaching should focus on: 

  • a) Rigorous problem solving only

  • b) Explorations of patterns, estimation, and informal learning

  • c) Memorization of formulas

  • d) Speed tests and competitions

17. A student says "1/2 is smaller than 1/4 because 2 is smaller than 4." This is an example of:

  • a) Conceptual error

  • b) Procedural error

  • c) Careless error

  • d) Factual error

18. The "concrete → pictorial → abstract" progression in mathematics teaching means:

  • a) Start with symbols, then pictures, then objects

  • b) Start with objects, then pictures, then symbols

  • c) Use only one method depending on the topic

  • d) Avoid using objects as they distract children

19. Which of the following is NOT a principle of mathematics curriculum construction? 

  • a) Principle of child-centeredness

  • b) Principle of correlation with life

  • c) Principle of covering maximum syllabus

  • d) Principle of activity-based learning

20. A child in Class II can count numbers but cannot add single-digit numbers. The most appropriate remedial strategy is:

  • a) Give more worksheets

  • b) Use concrete objects like counters

  • c) Ask parents to teach at home

  • d) Move to two-digit addition

21. The language of mathematics includes all EXCEPT: 

  • a) Symbols and notations

  • b) Specialized vocabulary

  • c) Colloquial everyday language

  • d) Visual representations

22. A teacher invites a shopkeeper to class to talk about how he uses mathematics. This is an example of: 

  • a) Community mathematics

  • b) Textbook teaching

  • c) Formal assessment

  • d) Remedial teaching

23. Anecdotal records in mathematics assessment are: 

  • a) Test scores recorded over time

  • b) Brief narrative descriptions of significant incidents

  • c) Attendance records

  • d) Homework completion records

24. The difference between Assessment OF Learning and Assessment FOR Learning is: 

  • a) OF learning is formative, FOR learning is summative

  • b) OF learning is summative, FOR learning is formative

  • c) Both are the same

  • d) OF learning is for students, FOR learning is for teachers

25. Which of the following is an appropriate activity for teaching the concept of "dozen"?

  • a) Memorizing that 1 dozen = 12

  • b) Counting 12 eggs in an egg carton

  • c) Writing "1 dozen = 12" ten times

  • d) Reading about dozens in textbook

26. The term "mathematization" refers to: 

  • a) Memorizing mathematical formulas

  • b) Developing the ability to think and express mathematically

  • c) Solving complex calculations quickly

  • d) Using calculators in math class

27. A child says "I'm just not good at math." This statement reflects:

  • a) Factual accuracy

  • b) Math anxiety or fixed mindset

  • c) Proper self-assessment

  • d) Teacher's evaluation

28. Which of the following is an appropriate adaptation for a gifted student in mathematics? 

  • a) Give them more worksheets of the same level

  • b) Provide enrichment activities and open-ended problems

  • c) Ask them to help slower students all the time

  • d) Move them to the next grade's content

29. The main purpose of homework in mathematics should be:

  • a) To complete the syllabus

  • b) To provide additional practice

  • c) To keep students occupied

  • d) To assign grades

30. Using a number line to teach addition helps children understand:

  • a) The commutative property visually

  • b) The concept of "jumping forward"

  • c) Both a and b

  • d) Only subtraction


Mock Test 3 📝

Time: 35 Minutes | Total Questions: 30 | Marks: 30


Section A: Content Questions (1-15)

1. The smallest 4-digit number formed using digits 5, 0, 3, 9 (using each digit only once) is:

  • a) 0359

  • b) 3059

  • c) 3095

  • d) 5039

2. Which number is 500 less than 7,234?

  • a) 6,734

  • b) 6,834

  • c) 7,734

  • d) 6,724

3. 48 × 5 = ?

  • a) 200

  • b) 240

  • c) 280

  • d) 320

4. 630 ÷ 7 = ?

  • a) 80

  • b) 90

  • c) 100

  • d) 110

5. Which fraction is equivalent to 3/4?

  • a) 6/7

  • b) 9/12

  • c) 12/15

  • d) 15/20

6. The improper fraction 11/4 can be written as:

  • a) 2 3/4

  • b) 3 1/4

  • c) 2 1/4

  • d) 3 3/4

7. 6 m 75 cm + 3 m 45 cm = ?

  • a) 10 m 20 cm

  • b) 9 m 120 cm

  • c) 10 m 120 cm

  • d) 9 m 20 cm

8. A container holds 3 litres 750 ml of oil. How much oil will 3 such containers hold?

  • a) 10 litres 250 ml

  • b) 11 litres 250 ml

  • c) 9 litres 750 ml

  • d) 12 litres

9. Which is heavier: 5 kg iron or 5 kg cotton?

  • a) Iron

  • b) Cotton

  • c) Both are equal

  • d) Cannot be compared

10. Riya had ₹750. She bought a dress for ₹425.50 and shoes for ₹299.75. How much money is left?

  • a) ₹24.75

  • b) ₹25.75

  • c) ₹34.75

  • d) ₹35.75

11. How many months have 30 days?

  • a) 4 months

  • b) 5 months

  • c) 6 months

  • d) 7 months

12. A train leaves at 10:20 AM and reaches at 3:45 PM. What is the duration of the journey?

  • a) 5 hours 25 minutes

  • b) 5 hours 15 minutes

  • c) 4 hours 25 minutes

  • d) 4 hours 15 minutes

13. Complete the pattern: 1, 1, 2, 3, 5, 8, 13, ___ , ___ .

  • a) 20, 33

  • b) 21, 34

  • c) 22, 35

  • d) 19, 32

14. The mean of 12, 15, 18, 21, 24 is:

  • a) 15

  • b) 18

  • c) 20

  • d) 22

15. The perimeter of a rectangle with length 15 cm and breadth 10 cm is:

  • a) 25 cm

  • b) 50 cm

  • c) 150 cm

  • d) 100 cm


Section B: Pedagogy Questions (16-30)

16. According to Piaget, a child who believes that spreading out objects changes their number has not developed:

  • a) Reversibility

  • b) Conservation of number

  • c) Transitivity

  • d) Seriation

17. Vygotsky's concept of "Zone of Proximal Development" refers to: 

  • a) What a child can do independently

  • b) What a child can do with help

  • c) What a child cannot do even with help

  • d) The gap between actual and potential development

18. In Vygotsky's theory, the support provided to help a child learn is called: 

  • a) Scaffolding

  • b) Assimilation

  • c) Reinforcement

  • d) Conditioning

19. Which of the following is an example of a concrete learning experience in mathematics?

  • a) Solving 20 addition problems on paper

  • b) Adding using blocks or counters

  • c) Watching a video about addition

  • d) Listening to the teacher explain addition

20. A teacher uses "think-pair-share" during mathematics class. This strategy promotes:

  • a) Individual work only

  • b) Collaborative learning and communication

  • c) Silent reading

  • d) Teacher-centered instruction

21. The main purpose of using manipulatives in mathematics teaching is to:

  • a) Keep students occupied

  • b) Make abstract concepts concrete

  • c) Replace textbooks

  • d) Reduce teacher's work

22. Which of the following is NOT a benefit of group work in mathematics?

  • a) Students learn from each other

  • b) It develops social skills

  • c) It allows for multiple perspectives

  • d) It always ensures all students participate equally

23. A teacher should use open-ended questions in mathematics to:

  • a) Get quick answers

  • b) Encourage multiple approaches and thinking

  • c) Save time

  • d) Test factual recall

24. The main challenge in teaching word problems is: 

  • a) Children don't like stories

  • b) The language can be difficult for some children

  • c) They take too much time

  • d) They are not in the syllabus

25. A teacher should help children solve word problems by: 

  • a) Teaching keywords only

  • b) Encouraging them to visualize and draw

  • c) Giving the answer directly

  • d) Avoiding word problems altogether

26. Signs of math anxiety in students include all EXCEPT: 

  • a) Avoiding math tasks

  • b) Rushing through work

  • c) Showing confidence and enjoyment

  • d) Physical symptoms like headache during math

27. A teacher can reduce math anxiety by:

  • a) Creating a safe environment where mistakes are okay

  • b) Focusing only on correct answers

  • c) Giving timed tests daily

  • d) Comparing students with each other

28. Growth mindset in mathematics means believing that:

  • a) Math ability is fixed at birth

  • b) Math ability can grow with effort and learning

  • c) Only some people can do math

  • d) Math is only for geniuses

29. A teacher should praise students for:

  • a) Being smart

  • b) Effort, strategies, and persistence

  • c) Getting answers quickly

  • d) Being better than others

30. Differentiated instruction means: 

  • a) Teaching all students the same way

  • b) Adapting content, process, or product based on student readiness

  • c) Grouping students by ability permanently

  • d) Giving different textbooks to different students


Mock Test 4 📝

Time: 35 Minutes | Total Questions: 30 | Marks: 30


Section A: Content Questions (1-15)

1. The Roman numeral for 64 is:

  • a) LXIV

  • b) LXV

  • c) XLIV

  • d) LXVI

2. The LCM of 15 and 20 is:

  • a) 30

  • b) 40

  • c) 60

  • d) 80

3. 125 × 6 = ?

  • a) 650

  • b) 700

  • c) 750

  • d) 800

4. 480 ÷ 8 = ?

  • a) 50

  • b) 60

  • c) 70

  • d) 80

5. Which of the following is a proper fraction?

  • a) 7/5

  • b) 9/8

  • c) 4/9

  • d) 11/10

6. 3.75 + 2.25 = ?

  • a) 5.90

  • b) 6.00

  • c) 5.00

  • d) 6.50

7. The area of a square with side 12 cm is:

  • a) 24 cm²

  • b) 48 cm²

  • c) 144 cm²

  • d) 121 cm²

8. Which of the following is NOT a unit of capacity?

  • a) Litre

  • b) Millilitre

  • c) Gram

  • d) Kilolitre

9. If 8 pens cost ₹120, what is the cost of 12 pens?

  • a) ₹150

  • b) ₹160

  • c) ₹170

  • d) ₹180

10. How many weeks are there in a year (approximately)?

  • a) 48 weeks

  • b) 50 weeks

  • c) 52 weeks

  • d) 54 weeks

11. A bus leaves at 9:35 AM and reaches at 1:20 PM. How long is the journey?

  • a) 3 hours 45 minutes

  • b) 4 hours 45 minutes

  • c) 3 hours 35 minutes

  • d) 4 hours 35 minutes

12. Complete the pattern: 2, 6, 12, 20, 30, ___ , ___ .

  • a) 40, 52

  • b) 42, 56

  • c) 44, 60

  • d) 38, 48

13. The median of 5, 8, 12, 15, 18 is:

  • a) 8

  • b) 12

  • c) 15

  • d) 10

14. If one angle of a triangle is 90° and another is 45°, the third angle is:

  • a) 30°

  • b) 45°

  • c) 60°

  • d) 90°

15. 8.5 - 3.75 = ?

  • a) 4.75

  • b) 5.25

  • c) 4.25

  • d) 5.75


Section B: Pedagogy Questions (16-30)

16. The process by which children fit new information into existing mental structures is called: 

  • a) Accommodation

  • b) Assimilation

  • c) Equilibration

  • d) Adaptation

17. When children must change their existing mental structures to incorporate new information, this is called: 

  • a) Assimilation

  • b) Accommodation

  • c) Conservation

  • d) Reversibility

18. According to Piaget, cognitive conflict that drives learning is called: 

  • a) Equilibrium

  • b) Disequilibrium

  • c) Assimilation

  • d) Schema

19. Which of the following is an example of a formative assessment technique? 

  • a) Annual examination

  • b) Observation during group work

  • c) Final project grade

  • d) Term-end report card

20. A teacher notices that a student is able to solve problems but cannot explain how. This indicates:

  • a) Strong conceptual understanding

  • b) Possible procedural understanding without conceptual grasp

  • c) Good communication skills

  • d) Nothing significant

21. The main advantage of peer tutoring in mathematics is:

  • a) It reduces teacher's work

  • b) Students learn from each other in a comfortable setting

  • c) It is easy to organize

  • d) It covers the syllabus quickly

22. According to NCF 2005, mathematics curriculum should be: 

  • a) Rigid and fixed

  • b) Flexible and connected to life

  • c) Only for high achievers

  • d) Focused on memorization

23. The NEP 2020 recommends teaching mathematics in the mother tongue up to at least: 

  • a) Class 2

  • b) Class 5

  • c) Class 8

  • d) Class 10

24. The higher aim of teaching mathematics according to NCF 2005 is to: 

  • a) Develop numeracy skills

  • b) Develop problem-solving and reasoning abilities

  • c) Prepare for competitive exams

  • d) Complete the syllabus

25. The narrow aim of teaching mathematics refers to: 

  • a) Developing thinking skills

  • b) Developing useful proficiencies like number operations

  • c) Appreciating mathematical beauty

  • d) Understanding mathematical history

26. The structure of mathematics includes all EXCEPT: 

  • a) Concepts

  • b) Facts

  • c) Procedures

  • d) Opinions

27. A student who knows that 6 × 4 = 24 but cannot explain why demonstrates:

  • a) Conceptual understanding

  • b) Procedural knowledge without conceptual understanding

  • c) Both conceptual and procedural understanding

  • d) Giftedness

28. The best way to teach mathematical concepts is to:

  • a) Start with abstract symbols

  • b) Start with concrete experiences

  • c) Avoid manipulatives

  • d) Focus only on practice

29. A child who can add but cannot solve word problems may have difficulty with:

  • a) Computation

  • b) Language comprehension

  • c) Both a and b

  • d) None of the above

30. The main purpose of a diagnostic test in mathematics is to: 

  • a) Assign grades

  • b) Identify specific learning gaps

  • c) Compare students

  • d) Fulfill school requirements


Mock Test 5 📝

Time: 35 Minutes | Total Questions: 30 | Marks: 30


Section A: Content Questions (1-15)

1. The number 7,892 rounded to the nearest hundred is:

  • a) 7,800

  • b) 7,900

  • c) 7,890

  • d) 8,000

2. Which of the following is a prime number?

  • a) 39

  • b) 41

  • c) 49

  • d) 51

3. 250 × 4 = ?

  • a) 800

  • b) 900

  • c) 1000

  • d) 1100

4. 720 ÷ 9 = ?

  • a) 70

  • b) 80

  • c) 90

  • d) 100

5. The fraction 4/7 in words is:

  • a) Four-seventh

  • b) Four-sevenths

  • c) Fourth-seventh

  • d) Fourth-sevenths

6. Which fraction is the smallest?

  • a) 1/3

  • b) 1/4

  • c) 1/5

  • d) 1/6

7. 8 m 45 cm - 3 m 75 cm = ?

  • a) 4 m 70 cm

  • b) 5 m 70 cm

  • c) 4 m 30 cm

  • d) 5 m 30 cm

8. A sack of rice weighs 35 kg 750 g. Another sack weighs 28 kg 500 g. What is their total weight?

  • a) 64 kg 250 g

  • b) 63 kg 1250 g

  • c) 64 kg 1250 g

  • d) 63 kg 250 g

9. 7 litres - 3 litres 450 ml = ?

  • a) 3 litres 550 ml

  • b) 4 litres 550 ml

  • c) 3 litres 450 ml

  • d) 4 litres 450 ml

10. Rohan bought a book for ₹275.50 and gave ₹500 to the shopkeeper. How much change will he get?

  • a) ₹224.50

  • b) ₹225.50

  • c) ₹224.00

  • d) ₹225.00

11. How many months have 31 days?

  • a) 5 months

  • b) 6 months

  • c) 7 months

  • d) 8 months

12. If a movie starts at 4:45 PM and ends at 7:10 PM, what is its duration?

  • a) 2 hours 25 minutes

  • b) 2 hours 35 minutes

  • c) 3 hours 25 minutes

  • d) 3 hours 35 minutes

13. Complete the pattern: 81, 27, 9, 3, ___ , ___ .

  • a) 1, 0

  • b) 1, 1/3

  • c) 0, -3

  • d) 2, 1

14. In a bar graph, the bar for "Cricket" is 6 cm high. If the scale is 1 cm = 8 students, how many students like cricket?

  • a) 48 students

  • b) 42 students

  • c) 56 students

  • d) 40 students

15. The product of two numbers is 3600 and their LCM is 180. Their HCF is:

  • a) 20

  • b) 18

  • c) 16

  • d) 24


Section B: Pedagogy Questions (16-30)

16. According to NCF 2005, mathematics is considered a "science of patterns" because: 

  • a) It has many formulas

  • b) It studies regularities in numbers, shapes, and nature

  • c) It uses patterns in teaching

  • d) It is predictable

17. A student writes 47 + 38 = 715. This is an example of:

  • a) Conceptual error (place value misunderstanding)

  • b) Procedural error

  • c) Careless error

  • d) Factual error

18. A student writes 8 × 7 = 54. This is likely a:

  • a) Conceptual error

  • b) Procedural error

  • c) Careless error (fact not memorized)

  • d) None of the above

19. Remedial teaching should begin with: 

  • a) The most difficult concepts

  • b) The child's existing knowledge

  • c) New topics

  • d) Grade-level content

20. Which of the following is an example of a remedial activity for place value errors?

  • a) More worksheets

  • b) Using bundles of sticks to represent tens and ones

  • c) Moving to higher place values

  • d) Ignoring the error

21. A teacher should involve parents in addressing mathematical difficulties by:

  • a) Blaming them for the problem

  • b) Sharing strategies they can use at home

  • c) Asking them to teach the content

  • d) Ignoring them

22. The main purpose of diagnostic tests is to: 

  • a) Assign grades

  • b) Identify specific learning gaps

  • c) Compare students

  • d) Fulfill school requirements

23. A diagnostic test should be followed by: 

  • a) No action

  • b) Remedial teaching

  • c) Promotion to next grade

  • d) Punishment

24. Which of the following is an example of a co-scholastic aspect in mathematics CCE? 

  • a) Addition skills

  • b) Problem-solving attitude

  • c) Multiplication facts

  • d) Geometry knowledge

25. CCE aims to: 

  • a) Reduce the burden of exams

  • b) Make assessment holistic and regular

  • c) Focus only on academics

  • d) Eliminate all tests

26. A teacher records observations of students during group work. This is part of:

  • a) Summative assessment

  • b) Formative assessment

  • c) Term-end evaluation

  • d) Final grading

27. The best way to conclude a mathematics lesson is to:

  • a) Assign homework

  • b) Summarize key learning and ask reflection questions

  • c) Move to next topic immediately

  • d) Give a test

28. Mathematics is introduced in primary classes because it: 

  • a) Develops logical thinking and reasoning

  • b) Is required for higher studies

  • c) Is easy to teach

  • d) Keeps students busy

29. A teacher should introduce mathematical vocabulary: 

  • a) All at once at the beginning

  • b) Gradually in context as concepts are taught

  • c) Only in higher classes

  • d) Through memorization only

30. According to research, which of the following is most effective for long-term retention of mathematical concepts?

  • a) Rote memorization

  • b) Understanding through hands-on activities

  • c) Repeated testing

  • d) Watching videos


Answer Keys with Explanations 🔑


Mock Test 1 Answer Key

QAnsExplanation
1cIn 5,62,348, the digits are: 5 Lakhs, 6 Ten-thousands, 2 Thousands, 3 Hundreds, 4 Tens, 8 Ones. So 6 is in ten-thousands place → 60,000.
2b345 + 287 = 632 (5+7=12, carry; 4+8+1=13, carry; 3+2+1=6)
3a504 - 287 = 217 (borrowing: 14-7=7, 9-8=1, 4-2=2)
4bSmallest 4-digit number: arrange digits in ascending order: 0,1,3,7 but 0 can't be first → 1037
5c15 × 12 = 180
6c144 ÷ 12 = 12
7a7 m = 700 cm, +45 cm = 745 cm
8b3 kg 250 g + 2 kg 750 g = 5 kg 1000 g = 6 kg
9b2 L 500 ml = 2500 ml; 2500 ÷ 250 = 10 glasses
10cCost per notebook = ₹150 ÷ 6 = ₹25; 10 notebooks = 10 × ₹25 = ₹250
11bHour hand between 8 and 9, minute at 6 → 8:30
12c4 hours = 240 minutes, +15 minutes = 255 minutes
13bPattern adds increasing odd numbers: +3, +5, +7, +9, +11, +13 → 27+11=38, 38+13=51
14c9 symbols × 5 children = 45 children
15bLet numbers be x and y with x>y. xy=864, x/y=6 → x=6y → 6y²=864 → y²=144 → y=12, x=72; sum=84
16bNCF 2005 emphasizes developing the ability to mathematize 
17bSubtracting smaller from larger in each column shows borrowing misconception
18bBundles of ice cream sticks are low-cost and effective for place value 
19bDiagnosis identifies difficulties; remediation designs interventions 
20bFinger counting is developmentally appropriate in early stages
21cPrimary grades (7-11 years) are in concrete operational stage 
22bAsking "how did you get that?" reveals the child's thinking process 
23bUsing community resources (market) is community mathematics 
24aCCE = Continuous and Comprehensive Evaluation 
25bObservation during learning is formative assessment (assessment for learning) 
26bPortfolio is a purposeful collection of student work showing progress over time 
27bError analysis helps understand children's thinking and misconceptions 
28bNEP 2020 aims for universal FLN by 2025 
29bErrors are windows into children's thinking, not failures 
30bEmpty container shows "nothing" concretely

Mock Test 2 Answer Key

QAnsExplanation
1b567 + 289 = 856 (7+9=16, carry; 6+8+1=15, carry; 5+2+1=8)
2a705 - 468 = 237 (borrowing: 15-8=7, 9-6=3, 6-4=2)
3dCompare: 4,675 is largest
4a18 × 7 = 126
5b225 ÷ 15 = 15
6c79 ÷ 8 = 9 remainder 7
7a4 km = 4000 m, +350 m = 4350 m
8a12 kg = 12000 g, +500 g = 12500 g
9a3 L 250 ml - 1 L 500 ml = 2 L 1250 ml - 1 L 500 ml = 1 L 750 ml
10c1 dozen = 12, cost per egg = ₹72 ÷ 12 = ₹6; 3 eggs = 3 × ₹6 = ₹18
11aNon-leap year February has 28 days
12a8:15 to 12:00 = 3h 45m; 12:00 to 2:30 = 2h 30m; total = 6h 15m
13bPattern adds odd numbers: +3, +5, +7, +9, +11, +13 → 26+11=37, 37+13=50
14aMode = most frequent number = 4 (appears 3 times)
15aa:b = 2:3 = 8:12, b:c = 4:5 = 12:15 → a:c = 8:15
16bNCF 2005 emphasizes explorations of patterns, estimation, informal learning 
17aMisunderstanding fraction size is a conceptual error (comparing denominators incorrectly)
18bConcrete (objects) → Pictorial (pictures) → Abstract (symbols) is correct
19cCovering maximum syllabus is not a principle; child-centeredness, correlation with life, and activity-based learning are 
20bConcrete objects (counters, beads) help build understanding before abstract symbols
21cColloquial everyday language is not specialized mathematical language 
22aInviting community members is community mathematics 
23bAnecdotal records are brief, objective narrative descriptions of significant incidents 
24bAssessment OF learning is summative (end of unit), Assessment FOR learning is formative (during learning) 
25bCounting real eggs in a carton makes the concept concrete and meaningful
26bMathematization = ability to think and express mathematically 
27bNegative self-talk about math ability indicates math anxiety or fixed mindset
28bGifted students need enrichment and open-ended challenges, not more of the same 
29bHomework provides additional practice and reinforcement
30cNumber line shows both jumping forward (addition) and commutative property visually

Mock Test 3 Answer Key

QAnsExplanation
1bSmallest 4-digit number: arrange digits in ascending order: 0,3,5,9 but 0 can't be first → 3059
2a7,234 - 500 = 6,734
3b48 × 5 = 240
4b630 ÷ 7 = 90
5b9/12 simplifies to 3/4 (divide numerator and denominator by 3)
6a11/4 = 2 3/4 (4×2=8, remainder 3)
7a6 m 75 cm + 3 m 45 cm = 9 m 120 cm = 10 m 20 cm
8b3 L 750 ml × 3 = 9 L 2250 ml = 11 L 250 ml
9cBoth weigh 5 kg, so equal
10aTotal spent = ₹425.50 + ₹299.75 = ₹725.25; left = ₹750 - ₹725.25 = ₹24.75
11a4 months have 30 days: April, June, September, November
12a10:20 to 3:20 = 5 hours; 3:20 to 3:45 = 25 minutes; total = 5h 25m
13bFibonacci pattern: each term is sum of previous two: 8+13=21, 13+21=34
14bMean = (12+15+18+21+24)/5 = 90/5 = 18
15bPerimeter = 2 × (15+10) = 2 × 25 = 50 cm
16bConservation of number = understanding quantity remains same despite rearrangement
17dZPD = gap between actual and potential development 
18aScaffolding = support provided to help child learn 
19bUsing blocks/counters is concrete learning
20bThink-pair-share promotes collaborative learning and communication
21bManipulatives make abstract concepts concrete
22dGroup work doesn't always ensure equal participation
23bOpen-ended questions encourage multiple approaches
24bWord problems are challenging due to language demands 
25bVisualizing and drawing helps solve word problems 
26cConfidence and enjoyment are opposite of anxiety
27aSafe environment reduces anxiety
28bGrowth mindset = ability can grow with effort
29bPraise effort, strategies, and persistence
30bDifferentiated instruction = adapting based on readiness 

Mock Test 4 Answer Key

QAnsExplanation
1a64 = 60 + 4 = LX + IV = LXIV
2cLCM of 15 and 20: multiples of 15: 15,30,45,60; multiples of 20: 20,40,60 → LCM = 60
3c125 × 6 = 750
4b480 ÷ 8 = 60
5cProper fraction has numerator < denominator: 4/9
6b3.75 + 2.25 = 6.00
7cArea = side² = 12² = 144 cm²
8cGram is unit of weight, not capacity
9dCost per pen = ₹120 ÷ 8 = ₹15; 12 pens = 12 × ₹15 = ₹180
10c52 weeks in a year (52 × 7 = 364 days, plus 1 or 2 extra)
11a9:35 to 12:35 = 3 hours; 12:35 to 1:20 = 45 minutes; total = 3h 45m
12bPattern: 1×2, 2×3, 3×4, 4×5, 5×6, 6×7, 7×8 → 6×7=42, 7×8=56
13bMedian = middle value when arranged: 5,8,12,15,18 → 12
14bSum of angles = 180°, so third angle = 180-90-45 = 45°
15a8.5 - 3.75 = 4.75
16bAssimilation = fitting new info into existing schemas 
17bAccommodation = changing schemas to fit new info 
18bDisequilibrium = cognitive conflict driving learning 
19bObservation during learning is formative assessment 
20bCan solve but can't explain suggests procedural without conceptual understanding
21bPeer tutoring allows comfortable learning from peers
22bNCF 2005 recommends flexible, life-connected curriculum 
23bNEP recommends mother tongue instruction up to Class 5 (preferably Class 8) 
24bHigher aim = problem-solving and reasoning 
25bNarrow aim = useful proficiencies (numeracy skills) 
26dStructure includes concepts, facts, procedures; opinions are not part 
27bCan do but can't explain = procedural without conceptual understanding
28bStart with concrete experiences
29bWord problems require language comprehension
30bDiagnostic tests identify specific learning gaps 

Mock Test 5 Answer Key

QAnsExplanation
1b7,892 rounded to nearest hundred: look at tens digit (9 ≥5), so round up → 7,900
2b41 has only two factors: 1 and 41
3c250 × 4 = 1000
4b720 ÷ 9 = 80
5b4/7 = four-sevenths
6dWhen numerators are same, larger denominator = smaller fraction. 1/6 is smallest
7a8 m 45 cm - 3 m 75 cm = 7 m 145 cm - 3 m 75 cm = 4 m 70 cm
8a35 kg 750 g + 28 kg 500 g = 63 kg 1250 g = 64 kg 250 g
9a7 litres = 6 L 1000 ml; 6 L 1000 ml - 3 L 450 ml = 3 L 550 ml
10aChange = ₹500 - ₹275.50 = ₹224.50
11c7 months have 31 days: Jan, Mar, May, Jul, Aug, Oct, Dec
12a4:45 to 7:45 = 3 hours; 7:45 to 7:10? Wait careful: 4:45 to 5:00 = 15 min; 5:00 to 7:00 = 2h; 7:00 to 7:10 = 10 min; total = 2h 25m
13bPattern divides by 3 each time: 81÷3=27, 27÷3=9, 9÷3=3, 3÷3=1, 1÷3=1/3
14a6 cm × 8 students = 48 students
15aProduct = HCF × LCM → 3600 = HCF × 180 → HCF = 3600 ÷ 180 = 20
16bMathematics studies regularities in numbers, shapes, nature 
17aAdding digits separately without regrouping shows place value misunderstanding
18c8×7=54 is fact error (careless or not memorized)
19bRemedial teaching should start from child's existing knowledge 
20bBundling sticks addresses place value errors concretely
21bShare strategies parents can use at home
22bDiagnostic tests identify specific learning gaps 
23bDiagnosis should be followed by remediation 
24bProblem-solving attitude is co-scholastic 
25bCCE aims for holistic and regular assessment 
26bObservations during learning are formative assessment
27bSummarizing key learning and reflection is good closure
28aMathematics develops logical thinking and reasoning 
29bVocabulary should be introduced gradually in context 
30bHands-on activities lead to better long-term retention

Performance Analysis Tracker 📊

Use this table to track your performance across all 5 mock tests:

TestContent Score (/15)Pedagogy Score (/15)Total Score (/30)Areas of StrengthAreas for Improvement
Mock Test 1
Mock Test 2
Mock Test 3
Mock Test 4
Mock Test 5

PSTET Success Tips for Mock Tests 🌟

Before the Test

  1. Create Exam-like Conditions: Sit in a quiet place with no distractions. Keep a timer and strictly follow the time limit .

  2. Have Answer Sheets Ready: Use rough sheets for calculations, just like in the real exam.

  3. Review Formulas Quickly: Before each test, glance through key formulas and concepts.

During the Test

  1. Time Management: 30 questions in 35 minutes means approximately 1 minute per question. Don't spend too long on any single question .

  2. Attempt All Questions: Since there's no negative marking, never leave a question unanswered .

  3. Use Elimination Method: If unsure, eliminate obviously wrong options and make an educated guess.

  4. Mark for Review: If a question is taking too long, mark it and come back later.

After the Test

  1. Analyze Errors: For every wrong answer, understand WHY you got it wrong—conceptual, procedural, or careless? 

  2. Track Patterns: Note which topics you consistently struggle with and revise them.

  3. Revise Pedagogy: If pedagogy questions are your weakness, review Chapters 8-12.

  4. Practice Weak Areas: Focus more time on topics where you scored low.

Final Preparation Tips

  • Solve at least one mock test daily in the week before the exam .

  • Create revision notes for formulas and key pedagogical terms .

  • Get adequate sleep before the exam day .

  • Stay confident and positive—you've prepared well!


Chapter Summary: Key Formulas and Concepts 📝

TopicKey Formulas/Concepts
Place ValueEach digit's value depends on its position (ones, tens, hundreds, thousands)
AdditionAlign digits by place value, carry when sum >9
SubtractionAlign digits, borrow when needed (1 ten = 10 ones)
Multiplication2-digit × 1-digit: multiply each place, carry; 2-digit × 2-digit: partial products
DivisionDividend ÷ Divisor = Quotient + Remainder; Remainder < Divisor
Length1 m = 100 cm; 1 km = 1000 m
Weight1 kg = 1000 g
Capacity1 L = 1000 ml
Time1 hour = 60 minutes; 1 day = 24 hours; 1 week = 7 days; 1 year = 365/366 days
Money1 Rupee = 100 Paise
FractionsProper (N<D), Improper (N>D), Equivalent fractions
DataTally marks (gate for 5), Pictograph (key), Bar graph (scale)
PatternsRepeating patterns, growing patterns, rule identification

Congratulations on completing all 15 chapters and 10 practice sets! 🎉

You've now covered the entire PSTET Paper 1 Mathematics syllabus comprehensively. The key to success is consistent practice and reflection on your errors. Use these mock tests to build speed, accuracy, and confidence.

Remember: Every question you practice brings you one step closer to becoming the inspiring mathematics teacher your students deserve. Stay positive, stay focused, and trust your preparation. You've got this! 💪

Best of luck for your PSTET exam! 🌟📚🍎


Happy Studying, Future Teachers!