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PUTME Mathematics past questions.

3,275 real Post-UTME Screening questions from 2005 to 2025, every one with a worked solution. Practise them timed, on the web, on Android, or offline on desktop.

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Questions held
3,275
Years covered
21
Questions per paper
40
Time allowed
30 min
Try 5

Sample Mathematics questions, answered.

Taken straight from the papers below — one from each of the most recent years, with the answer marked and the reasoning written out.

PUTME Mathematics 2025 · Question 1
Convert 1011012101101_2 to base 10.
  1. 41
  2. 43
  3. 45 — correct answer
  4. 47
Worked solution
Multiply each digit by its power of 2: 1×25+0×24+1×23+1×22+0×21+1×20=32+0+8+4+0+1=451\times2^5 + 0\times2^4 + 1\times2^3 + 1\times2^2 + 0\times2^1 + 1\times2^0 = 32 + 0 + 8 + 4 + 0 + 1 = 45.
PUTME Mathematics 2024 · Question 1
The mean of twelve positive numbers is 3. When another number is added, the mean becomes 5. Find the 13th number.
  1. 29 — correct answer
  2. 26
  3. 25
  4. 24
Worked solution
Sum of 12 numbers = 12 × 3 = 36; sum of 13 numbers = 13 × 5 = 65; 13th number = 65 − 36 = 29.
PUTME Mathematics 2023 · Question 1
Calculate 33105−144253310_5-1442_5.
  1. 131351313_5 — correct answer
  2. 213152131_5
  3. 430254302_5
  4. 110351103_5
Worked solution
33105=4553310_5=455 and 14425=2471442_5=247; 455−247=208=1×125+3×25+1×5+3=13135455-247=208=1\times125+3\times25+1\times5+3=1313_5.
PUTME Mathematics 2022 · Question 1
Simplify 8x3y645z2w7×5z2w2x5y4\sqrt{\dfrac{8x^3y^6}{45z^2w^7}\times\dfrac{5z^2w}{2x^5y^4}}
  1. 2y3xw3\frac{2y}{3xw^3} — correct answer
  2. 2y3xw2\frac{2y}{3xw^2}
  3. 2xy3w3\frac{2xy}{3w^3}
  4. 3xw22y\frac{3xw^2}{2y}
Worked solution
Inside the root: 40x3y6z2w90x5y4z2w7=4y29x2w6\frac{40x^3y^6z^2w}{90x^5y^4z^2w^7}=\frac{4y^2}{9x^2w^6}. Square root: 2y3xw3\frac{2y}{3xw^3}.
PUTME Mathematics 2021 · Question 1
During a semester, a student received scores of 76, 80, 83, 71, 80 and 78 on six tests. What is the student's average score for these six tests?
  1. 76
  2. 77
  3. 78 — correct answer
  4. 79
  5. 80
Worked solution
Sum = 76+80+83+71+80+78 = 468; mean = 468÷6=78468 \div 6 = 78.
Every paper we hold

PUTME Mathematics, year by year.

2025
85 questions
2024
309 questions
2023
85 questions
2022
114 questions
2021
492 questions
2020
85 questions
2019
111 questions
2018
201 questions
2017
131 questions
2016
36 questions
2015
183 questions
2014
209 questions
2013
178 questions
2012
131 questions
2011
242 questions
2010
95 questions
2009
82 questions
2008
95 questions
2007
133 questions
2006
98 questions
2005
30 questions
Before you sit it

How PUTME Mathematics is set.

Post-UTME Screening sets 40 questions in Mathematics, answered in 30 minutes — about 45 seconds a question. Practising against that clock is the part most candidates skip, and it is the part that costs marks.

We hold 3,275 published Mathematics questions spanning 2005 to 2025. You can practise any single year’s paper, or sit a full timed mock that mirrors the real interface — the navigator, the flags and the auto-submit included.

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