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PUTME Mathematics (Science) past questions.

133 real Post-UTME Screening questions from 2008 to 2023, every one with a worked solution. Practise them timed, on the web, on Android, or offline on desktop.

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Questions held
133
Years covered
9
Questions per paper
40
Time allowed
30 min
Try 5

Sample Mathematics (Science) 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 (Science) 2023 · Question 13
A heptagon is a polygon with
  1. Five sides
  2. Four sides
  3. Six sides
  4. Seven sides — correct answer
Worked solution
Hepta- means seven: a heptagon has 7 sides.
PUTME Mathematics (Science) 2022 · Question 1
If y=5cos⁡(−6x)y = 5\cos(-6x), dydx\frac{dy}{dx} is
  1. 30sin⁡(−6x)30\sin(-6x) — correct answer
  2. 5sin⁡(−6x)5\sin(-6x)
  3. −30sin⁡(−6x)-30\sin(-6x)
  4. −30cos⁡(−6x)-30\cos(-6x)
Worked solution
dydx=−5sin⁡(−6x)×(−6)=30sin⁡(−6x)\frac{dy}{dx} = -5\sin(-6x)\times(-6) = 30\sin(-6x).
PUTME Mathematics (Science) 2021 · Question 7
To solve for an unknown in an equation, you must always
  1. add it in
  2. isolate it on one side — correct answer
  3. subtract it from
  4. eliminate the inequality
Worked solution
Solving an equation means applying inverse operations until the unknown stands alone on one side of the equals sign.
PUTME Mathematics (Science) 2019 · Question 32
A student dropped an object from a building 100 m high. If the height of the object above the ground after tt seconds is 100−4.9t2100-4.9t^2 m, how fast is it falling 3 seconds after it is dropped?
  1. 14.7 m/s
  2. 85.3 m/s
  3. 29.4 m/s — correct answer
  4. 70.6 m/s
Worked solution
dhdt=−9.8t\frac{dh}{dt}=-9.8t; at t=3t=3, dhdt=−29.4\frac{dh}{dt}=-29.4, so it is falling at 29.4 m/s.
PUTME Mathematics (Science) 2012 · Question 21
The range of the data k+2, k−6, k+4, k−2, k, k−5, k+3, k−1k+2,\ k-6,\ k+4,\ k-2,\ k,\ k-5,\ k+3,\ k-1 and k+6k+6 is
  1. 10
  2. 11
  3. 12 — correct answer
  4. 9
Worked solution
Largest =k+6=k+6, smallest =k−6=k-6. Range =(k+6)−(k−6)=12=(k+6)-(k-6)=12.
Every paper we hold

PUTME Mathematics (Science), year by year.

2023
8 questions
2022
21 questions
2021
7 questions
2019
7 questions
2012
20 questions
2011
20 questions
2010
15 questions
2009
20 questions
2008
15 questions
Before you sit it

How PUTME Mathematics (Science) is set.

Post-UTME Screening sets 40 questions in Mathematics (Science), 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 133 published Mathematics (Science) questions spanning 2008 to 2023. 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.

Every question you get wrong comes back the next day, then at longer gaps until it sticks, and your home page leads with your weakest subjects.

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