Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

3,581.

In the figure above, PQRS is a circle with ST//RQ. Find the value of x PT = PS.

A.

70o

B.

55o

C.

40o

D.

35o

Correct answer is B

PQRS is a cyclic quad
^P = 180 - 110 (opp ∠s of a cyclic quad)
^P = 70
In ΔPTS, ^S = ^T (base ∠s of Isc Δ)
∴^T = (180-70) / 2
= 110/2
= 55o
But ^T x(corr ∠)
∴x =55

3,582.

Evaluate 5-3log52 x 22log23

A.

8

B.

11/8

C.

2/5

D.

1/8

Correct answer is B

5-3log52 x 22log23
i Let -3log52 = p => log52-3 = p
∴2-3 = 5p
∴5-3log52 = 5log52-3 = 5p
ii 22log23 = q => log532 = q
∴32 = 2q
∴222log23 = 2q
= 32 = 9
i x ii = 2-3 x 9 = 1/23 x 9
= 1/8 x 9
= 9/8 = 11/8

3,583.

Marks 1 2 3 4 5
Frequency 2 2 8 4 4


The table above show the marks obtained in a given test.
Find the mean mark

A.

3.1

B.

3.0

C.

3.2

D.

3.3

Correct answer is D

Mark(χ) f
1 2 2
2 2 4
3 8 24
4 4 16
5 4 20
  f = 20 = 66

 

 

 \(Mean = \frac{\sum fx}{\sum f}\)

= \(\frac{66}{20}\)

= 3.3

 

3,584.

Marks 1 2 3 4 5
Frequency 2 2 8 4 4


The table above show the marks obtained in a given test.
How many student took the test?

A.

16

B.

13

C.

20

D.

15

Correct answer is C

f = 2 + 2 + 8 + 4 + 4
= 20

3,585.

Marks 2 3 4 5 6 7 8
No. of students 3 1 5 2 4 2 3


from the table above, if the pass mark is 5, how many students failed the test?

A.

6

B.

2

C.

7

D.

9

Correct answer is D

Marks Number of students
2 3
3 1
4 5
Total 9