Important PSTET Maths Question and Answers with Explanation

The Punjab State Teacher Eligibility Test (PSTET) 2024 is an important exam for those who want to pursue a promising career in teaching. The test will be conducted by the Punjab School Education Board (PSEB) and will be held on 1 December 2024. This exam helps in assessing the candidate’s teaching aptitude for Classes I to V or Classes VI to VIII in schools. There are two parts to the exam: Paper I is for teaching kids in primary classes, and Paper II is for teaching kids in upper primary classes. Candidates should stay informed about the application process and key updates to ensure thorough preparation for this important examination.

PSTET Maths Question and Answer

Mathematics being an important subject in PSTET Examination 2024, plays a significant part in understanding and evaluating candidates’ aptitude skills. The candidates who may choose Maths as their primary subject should be on point while answering and explaining the mathematical concepts. Candidates should be proficient in basic content questions like Measurement, Numbers and Data Handling to pedagogical concepts like Diagnostic and Remedial Teaching.

Preparing for a subject like Mathematics needs sheer focus and practice. Attempting previous year’s question papers and mock tests can certainly help. And even help in assessing their progress, which they can use for improvement. Hence, employing PSTET Maths Question and Answer in daily practice will do the job.

PSTET Maths Quiz: Overview

As Mathematics holds 20% of the syllabus, preparing well for it can secure a significant and deciding proportion of the syllabus. Being a scoring subject, candidates have to be keen on practising rigorously as these 30 marks are in your hands by merely practising. Here is an easy overview of the exam:

PSTET Maths Questions

Q1. Ten crore twenty thousand two hundred three is written in figures as

(a) 100002203
(b) 1020203
(c) 1002203
(d) 100020203

Q2. Which of the following fractions is less than 4/5 and greater than 1/2?

(a) 8/9
(b) 7/9
(c) 1/3
(d) 2/5

Q3. What will be the value of K in the six-digit number 56234K, if the number is divisible by 6?

(a) 0
(b) 1
(c) 4
(d) 6

Q4. In a class of 28 students, 15 are girls. If 21 students clean their teeth daily and 3/5 of the girls clean their teeth daily, then state which fraction of boys do the same work daily.

(a)  2/5
(b)  4/7
(c)  4/9
(d)  12/13

Q5. The average of five consecutive natural numbers is 15. What is the sum of the first and last numbers

(a) 27
(b) 30
(c) 31
(d) 33

Q6. A shopkeeper bought 138 boxes of apples each containing 24 apples. He could sell only 117 ¾  boxes of apples on the first day. How many apples are left with him?

(a) 486
(b) 498
(c)510
(d) 522

Q7. Two angles having a sum of 180° are always known as

(a) Adjacent angles
(b) Complementary angles
(c) Supplementary angles
(d) Linear pair

Q8. Which of the following statements is not true?

(a) Sum of an acute angle and a right angle is always an obtuse angle.
(b) Sum of two acute angles is always less than a right angle.
(c) Sum of two right angles is equal to a straight angle.
(d) Sum of two obtuse angles is always a reflex angle.

Q9. Which one of the following groups of letters has only one line of symmetry?

(a) B, I, H
(b)C, G, U
(c)D, E, M
(d) N, A, B

Q10. Yogesh runs with a speed of 30 km/h and completes a race in 5 minutes. What is the length of the race (in m)?

(a) 2050
(b) 2500
(c) 2550
(d) 2600

Q11. Train P leaves Station A at 6:40 and reaches Station B at 21:30 on the same day. Train Q leaves Station A at 19:10 and reaches Station B at 10:50 the next day. Which train takes more time and how much more time (in minutes)?

(a) P, 30
(b) P, 40
(c) Q, 50
(d) Q, 70

Q12. Ankit runs on a circular track of length 400m. He makes 3 rounds daily on it. How much distance {in km) does he cover on the track in a week?

(a) 7.2
(b) 8.4
(c) 8.8
(d) 9.4

Q13. What comes next in the following pattern?

1 A 1, 4 B 8, 9 C 27, 16 D 64, _______

(a) 25 D 125
(b) 25 E 100
(c) 25 E 125
(d) 36 E 100

Q14. 540 students of a school voted for the best group song presented in a competition. Then, on the basis of the obtained votes, these group songs A, B, C and D were represented on a pie chart by angles of 120°, 80°, 70° 90° respectively at the centre. How many students voted for group song B ? (Assume that one student has voted only for one group song.)

(a) 100
(b) 120
(c) 140
(d) 150

Q15. The following table shows the marks in English and Mathematics obtained by four friends :

English     Mathematics
(a) Yogesh          72              64
(b) Joseph          75              68
(c) Vinita            69              79
(d) Devika          73             76

PSTET Maths Solutions with Explanations

S1. Ans.(d)
Sol. Ten crore twenty thousand two hundred three is written in figures as 10,00,20,203

S2. Ans.(b)
Sol. The fraction 4/5 is equal to 0.8 and 1/2 is equal to 0.5. Therefore, we need to find a fraction between 0.5 and 0.8.

Option (a), 8/9, is approximately 0.89, which is greater than 0.8.
Option (b), 7/9, is approximately 0.78, which is between 0.5 and 0.8.
Option (c), 1/3, is approximately 0.33, which is less than 0.5.
Option (d), 2/5, is approximately 0.4, which is less than 0.5.
Therefore, the fraction 7/9 is less than 4/5 and greater than 1/2.

S3. Ans.(c)
Sol. A number is divisible by 6 if it is divisible by both 2 and 3.

A number is divisible by 2 if the last digit is even. The last digit of 56234K is K, so K must be even.
A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits of 56234K is 5+6+2+3+4+K=20+K. For 20+K to be divisible by 3, K must be 1 or 4.
Since K must be even, K must be equal to 4.

S4. Ans.(d)
Sol. Given:

Total number of students = 28
Number of girls = 15
Number of boys = 28 – 15 = 13
Number of girls who clean their teeth daily = (3/5) x 15 = 9
Number of students who clean their teeth daily = 21
To find the fraction of boys who clean their teeth daily, we can subtract the number of girls who clean their teeth daily from the total number of students who clean their teeth daily and then divide this number by the total number of boys.

S5. Ans.(b)
Sol. Let 5 consecutive natural number is x, x+1, x+2, x+3, x+4

So, x + x+1 + x+2 + x+3 + x+4 = 75
Or, 5x + 10 = 75
Or, 5x = 65
Or, x = 13
Hence, the numbers are:
13, 14, 15, 16 and 17
Now, sum of first and last number = 13 + 17 = 30

S6. Ans.(a)
Sol. The shopkeeper bought a total of 138 boxes x 24 apples/box = 3312 apples.

On the first day, he sold 471/4 boxes x 24 apples/box = 2826 apples.
Therefore, he is left with 3312 apples – 2826 apples = 486 apples.

S7. Ans.(c)
Sol. The answer is (c) Supplementary angles.

Two angles that have a sum of 180 degrees are called supplementary angles. Adjacent angles and linear pairs are different types of angle pairs with different properties.

S8. Ans.(b)
Sol. The answer is (b) Sum of two acute angles is always less than a right angle.

An acute angle is an angle that measures less than 90 degrees. The sum of two acute angles cannot be equal to or greater than 90 degrees, as this would result in an obtuse angle or a right angle.
Therefore, the statement “Sum of two acute angles is always less than a right angle” is always true.

S9. Ans.(c)
Sol. Among the given options only option (c) is the correct answer. D, E, and M have only one line of symmetry.

S10. Ans.(b)
Sol. Required distance = 30 ×5/18 × 300 = 2500 m

S11. Ans.(c)
Sol. time taken by train P to reach station B = 21:30 – 6:40 = 14 hours 50 minutes
tame taken by train Q to reach station B = 10:50 – 19:10 = 15 hours 40 minutes
So Q has taken 50 minutes more.

S12. And.(b)
Sol. length of track = 400 m

He covers daily = 3 400 = 1200 m
He covers in a week = 7 ×1200 = 8400 m = 8.4 km

S13. Ans.(c)
Sol. It is multiplying numbers by 1, then 2, then 3, then 4, then 5 and alphabets are in + 1 order.

S14. Ans.(b)
Sol. The number of students who voted for B = 80°360°540 = 120

S15. Ans.(b)
Sol. Devika got maximum marks in English and Mathematics combined

Download the PSTET Maths Question & Answer PDF

Click the direct link in the table below to download the detailed PSTET Math Questions and Answers PDF. This important resource has 30 math questions and answers to help students get ready for the test. It covers math topics and teaching methods, making sure students are fully prepared.

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