BPSC TRE Class 1-5 Maths: 30 Practice Questions with Solutions
A free set of 30 practice questions with solutions for BPSC TRE 4.0 (Class 1-5), covering maths topics alongside GK, reasoning, and English grammar.
This set of 30 practice questions is for candidates preparing for BPSC TRE 4.0 (Class 1-5) who want to test themselves on the maths and general studies portion of the syllabus. The questions are drawn from Number System, Fractions and Decimals, Percentage, Profit and Loss, and Mensuration, along with related areas such as Ancient India, Modern India and Freedom Struggle, Static GK, Basic Reasoning, Chemistry Basics, English Grammar and Usage, and Pedagogy of School Subjects.
Use this set to get an honest read on where you stand. Attempt all the questions first on your own, without looking at the solutions, and only then check your answers against the explanations given below each question.
How to use these questions
- Attempt all 30 questions first in one sitting, without checking the answers.
- Time yourself so the practice feels close to actual exam conditions.
- Go through the solutions carefully, especially for questions you got wrong or guessed.
- Note down topics where you struggled, and revisit them before moving on to full-length tests.
If you want more practice like this, the BPSC TRE 4.0 (Class 1-5) General Studies Mock Test Series has 69 tests with 3,270 questions in all, priced at ₹49. You can try the Full Mock Test 1 for free before deciding to go further.
A tank is 3/5 full. After adding 40 litres it becomes full. What is the capacity of the tank?
- (A) 120 litres
- (B) 60 litres
- (C) 100 litres
- (D) 80 litres
Answer: (C) 100 litres
Explanation: 2/5 of capacity = 40, so capacity = 100 litres.
Find the next number: 64, 32, 16, 8, ?
- (A) 4
- (B) 6
- (C) 0
- (D) 2
Answer: (A) 4
Explanation: Halve each time.
What is the cube of 7?
- (A) 373
- (B) 343
- (C) 49
- (D) 243
Answer: (B) 343
Explanation: 7 × 7 × 7 = 343.
In a class of 40 students, 25% are girls. How many boys are there?
- (A) 25
- (B) 30
- (C) 15
- (D) 10
Answer: (B) 30
Explanation: Girls = 10, so boys = 40 − 10 = 30.
An article costing ₹800 is sold for ₹680. What is the loss percentage?
- (A) 15%
- (B) 12%
- (C) 20%
- (D) 6%
Answer: (A) 15%
Explanation: Loss = 120; 120/800 × 100 = 15%.
How many tiles of 20 cm × 20 cm are needed to cover a floor of 4 m × 3 m?
- (A) 3000
- (B) 30
- (C) 120
- (D) 300
Answer: (D) 300
Explanation: Floor = 120000 cm²; tile = 400 cm²; 300 tiles.
What is the value of 2½ × 1⅓?
- (A) 3½
- (B) 2⅙
- (C) 2⅔
- (D) 3⅓
Answer: (D) 3⅓
Explanation: 5/2 × 4/3 = 10/3 = 3⅓.
Find the next number: 0, 3, 8, 15, 24, ?
- (A) 30
- (B) 36
- (C) 33
- (D) 35
Answer: (D) 35
Explanation: n² − 1: 1, 4, 9, 16, 25, 36 minus 1.
Which of the following numbers is divisible by 11?
- (A) 3455
- (B) 2728
- (C) 4567
- (D) 1234
Answer: (B) 2728
Explanation: For 2728: (2 + 2) − (7 + 8) = −11, divisible by 11.
In a fruit basket of 200 fruits, 35% are mangoes. How many mangoes are there?
- (A) 60
- (B) 70
- (C) 35
- (D) 65
Answer: (B) 70
Explanation: 200 × 35/100 = 70.
After a discount of ₹60, a pair of shoes is sold for ₹540. What is the discount percentage?
- (A) 6%
- (B) 11%
- (C) 12%
- (D) 10%
Answer: (D) 10%
Explanation: MP = 600; 60/600 × 100 = 10%.
What is the total surface area of a cube of edge 4 cm?
- (A) 48 cm²
- (B) 16 cm²
- (C) 96 cm²
- (D) 64 cm²
Answer: (C) 96 cm²
Explanation: 6 × 4² = 96 cm².
Using the digits 1, 0, 5, 3 and 8 once each, what is the smallest 5-digit number?
- (A) 15038
- (B) 10385
- (C) 13058
- (D) 10358
Answer: (D) 10358
Explanation: 0 cannot be first, so start with 1, then 0, 3, 5, 8.
The population of a village is 5000. It increases by 10% every year. What will it be after 1 year?
- (A) 5100
- (B) 6000
- (C) 5050
- (D) 5500
Answer: (D) 5500
Explanation: 5000 + 10% of 5000 = 5500.
A man sold a radio for ₹1,150 at a profit of 15%. What was the cost price?
- (A) ₹1,000
- (B) ₹977.50
- (C) ₹1,050
- (D) ₹1,135
Answer: (A) ₹1,000
Explanation: 1150 × 100/115 = ₹1,000.
What is the circumference of a circle of radius 7 cm? (π = 22/7)
- (A) 44 cm
- (B) 22 cm
- (C) 49 cm
- (D) 154 cm
Answer: (A) 44 cm
Explanation: 2πr = 2 × 22/7 × 7 = 44 cm.
What is the cube root of 1728?
- (A) 12
- (B) 14
- (C) 11
- (D) 16
Answer: (A) 12
Explanation: 12 × 12 × 12 = 1728.
After a 20% discount, a shirt costs ₹400. What was its original price?
- (A) ₹450
- (B) ₹420
- (C) ₹500
- (D) ₹480
Answer: (C) ₹500
Explanation: 80% of price = 400, so price = ₹500.
How many factors does 36 have?
- (A) 10
- (B) 9
- (C) 8
- (D) 12
Answer: (B) 9
Explanation: Factors: 1, 2, 3, 4, 6, 9, 12, 18, 36.
The price of sugar increases by 25%. By what percentage must a family reduce consumption to keep expenditure the same?
- (A) 20%
- (B) 15%
- (C) 30%
- (D) 25%
Answer: (A) 20%
Explanation: Reduction = 25/125 × 100 = 20%.
What is the sum of the first 20 odd numbers?
- (A) 380
- (B) 400
- (C) 420
- (D) 441
Answer: (B) 400
Explanation: Sum of first n odd numbers = n² = 20² = 400.
Which of the following is a pair of twin primes?
- (A) (7, 11)
- (B) (23, 29)
- (C) (19, 23)
- (D) (11, 13)
Answer: (D) (11, 13)
Explanation: Twin primes are primes that differ by 2.
Which of the following is a perfect square?
- (A) 1296
- (B) 1320
- (C) 1250
- (D) 1350
Answer: (A) 1296
Explanation: 1296 = 36 × 36.
The Ranji Trophy is associated with:
- (A) Hockey
- (B) Badminton
- (C) Football
- (D) Cricket
Answer: (D) Cricket
Explanation: It is India's domestic first-class cricket championship.
Who gave the slogan 'Swaraj is my birthright and I shall have it'?
- (A) Subhas Chandra Bose
- (B) Lala Lajpat Rai
- (C) Mahatma Gandhi
- (D) Bal Gangadhar Tilak
Answer: (D) Bal Gangadhar Tilak
Explanation: Tilak gave this famous slogan.
Who wrote 'Romeo and Juliet'?
- (A) William Wordsworth
- (B) John Keats
- (C) Charles Dickens
- (D) William Shakespeare
Answer: (D) William Shakespeare
Explanation: Shakespeare wrote this tragedy.
Which natural indicator turns red in a basic solution?
- (A) Sugar
- (B) Lemon juice
- (C) Turmeric
- (D) Water
Answer: (C) Turmeric
Explanation: Turmeric turns red with bases.
The No-Detention Policy under the RTE Act was amended in 2019 to allow states to:
- (A) Remove mid-day meals
- (B) Charge fees
- (C) Close primary schools
- (D) Hold back students in Classes 5 and 8 after a re-examination
Answer: (D) Hold back students in Classes 5 and 8 after a re-examination
Explanation: States may detain after a re-exam if a child fails.
Where was Mahavira born?
- (A) Kundagrama near Vaishali
- (B) Rajgir
- (C) Lumbini
- (D) Pawapuri
Answer: (A) Kundagrama near Vaishali
Explanation: Mahavira was born at Kundagrama near Vaishali, Bihar.
Which direction is opposite to North-East?
- (A) South-West
- (B) West
- (C) North-West
- (D) South-East
Answer: (A) South-West
Explanation: NE is opposite SW.
Take a full mock test
Start with the free mock test: Full Mock Test 1 — timed, with your score and analysis right away.
These questions come from SeatBeat's reviewed question bank. For full preparation, see the test series: BPSC TRE 4.0 (Class 1-5) General Studies Mock Test Series
Frequently asked questions
What topics does this BPSC TRE Class 1-5 maths practice set cover?
This set of 30 questions covers maths topics like Number System, Fractions and Decimals, Percentage, Profit and Loss, and Mensuration, along with general studies topics such as Ancient India, Modern India and Freedom Struggle, Static GK, Basic Reasoning, Chemistry Basics, English Grammar and Usage, and Pedagogy of School Subjects.
Is this practice set enough to prepare for BPSC TRE 4.0 Class 1-5 maths?
This set is useful for quick practice and checking your current level, but for thorough preparation you should also attempt full-length tests, such as those in the BPSC TRE 4.0 (Class 1-5) General Studies Mock Test Series.
Where can I take a full-length mock test for BPSC TRE 4.0 (Class 1-5)?
You can take full-length mock tests in the BPSC TRE 4.0 (Class 1-5) General Studies Mock Test Series, which includes 69 tests with a total of 3,270 questions.
Is there a free mock test available?
Yes, Full Mock Test 1 from the BPSC TRE 4.0 (Class 1-5) General Studies Mock Test Series is available to attempt for free.
How much does the BPSC TRE 4.0 (Class 1-5) mock test series cost?
The BPSC TRE 4.0 (Class 1-5) General Studies Mock Test Series, with 69 tests and 3,270 questions, is priced at ₹49.
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