Unilorin Post-UTME Mathematics 2022 (Model questions) past questions and answers

Find the simple interest on ₦225 in 5 years at 10%.

1. A.₦108.00
2. B.₦224.00
3. C.₦112.50
4. D.₦167.60

Find the range of 2, 6, 8, 10, 12, 25, 3, 4 and 32

1. A.27
2. B.30
3. C.22
4. D.24

A binary operation on the set of real numbers is defined by x ∗ y = (x + y)/2 for all x, y ∈ R. Find 7 ∗ 5

1. A.8
2. B.9
3. C.5
4. D.6

If the midpoint of (2, x) and (y, 2) is (4, 2), the respective values of x and y are

1. A.2, 6
2. B.3, 6
3. C.4, 3
4. D.6, 4

The histogram above shows the number of participants in a meeting from Monday to Friday. How many participated on Monday, Wednesday and Thursday?

1. A.55
2. B.50
3. C.65
4. D.45

y is inversely proportional to x and y = 6 when x = 7. Find the constant of the variation.

1. A.48
2. B.47
3. C.54
4. D.42

Convert 553₇ to a number in base 10.

1. A.283
2. B.271
3. C.298
4. D.292

If y varies directly as x, find the constant of the variation when y = 12 and x = 4.

1. A.8
2. B.6
3. C.5
4. D.3

From the diagram above, the value of x is

1. A.90°
2. B.110°
3. C.100°
4. D.80°

Given: M = {1, 2, 3, 4, 5}, N = {1, 2, 4, 5, 3}, Z = {2, 1, 4, 5}. Which of the following is accurate?

1. A.N ⊆ M
2. B.N ⊂ M
3. C.Z ⊆ M
4. D.N ⊂ Z

Find the number of sides of a regular polygon if the size of each interior angle is 150°

1. A.9
2. B.12
3. C.10
4. D.14

Given that θ is an acute angle and tan θ = 12/5, find sin θ.

1. A.12/13
2. B.5/12
3. C.13/5
4. D.5/13

A box containing 10 black, 4 green and 6 yellow pens. What is the probability of picking a yellow pen with eyes closed?

1. A.1/5
2. B.7/10
3. C.3/10
4. D.1/2

Evaluate 5⅓ × 7¼ ÷ 116/27

1. A.3
2. B.9
3. C.8
4. D.6

If x − 3 divides x³ − 2x² − x + 6, find the remainder

1. A.27
2. B.9
3. C.12
4. D.18

The locus of a point moving with equal distance from a point is

1. A.a parabola
2. B.a sphere
3. C.a circle
4. D.an ellipse

Find the area of a parallelogram PQRS with base 16cm long and the height 8cm.

1. A.126cm²
2. B.128cm²
3. C.122cm²
4. D.124cm²