WAEC Mathematics Past Questions & Answers - Page 94

466.

Simplify: \(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))

A.

18

B.

16

C.

14

D.

12

Correct answer is A

\(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))

\(\sqrt{4 \times 3} (6 \times 3 - \sqrt{3}) = 2 \sqrt{3}(4 \sqrt{3} - \sqrt{3})\)

= 2\(\sqrt{3} \times \sqrt{3} (4 - 1) 2\sqrt{9}(3) = 2 \times 3 \times 3 = 18\)

467.

The bar chart above shows the scores of some students in a test. Use it to answer this

 

If one student is selected at random, find the probability that he/she scored at most 2 marks

A.

\(\frac{11}{18}\)

B.

\(\frac{11}{20}\)

C.

\(\frac{7}{22}\)

D.

\(\frac{5}{19}\)

Correct answer is B

at most 2 marks = 5 + 2 + 4 students = 11 students

probability(at most 2 marks) = \(\frac{11}{20}\)

468.

The volume of a cube is 512cm3. Find the length of its side

A.

6cm

B.

7cm

C.

8cm

D.

9cm

Correct answer is C

volume of cube = L x L x L

512cm3 = L3

L3 = 512cm3

L = 3\(\sqrt{512}\)

L (512)\(\frac{1}{3}\)

= (29)\(\frac{1}{3}\)

23 = 8cm

469.

If 23x = 325, find the value of x

A.

7

B.

6

C.

5

D.

4

Correct answer is A

23x = 325

2 \(\times x^1 + 3 \times x^0 = 3 \times 5^1 + 2 \times 5^0\)

= 2x + 3 = 15 + 2

2x + 3 = 17

2x = 17 - 3

2x = 14

x = \(\frac{14}{2}\)

x = 7

470.

Simplify 10\(\frac{2}{5} - 6 \frac{2}{3} + 3\)

A.

6\(\frac{4}{15}\)

B.

6\(\frac{11}{15}\)

C.

7\(\frac{4}{15}\)

D.

7\(\frac{11}{15}\)

Correct answer is B

10\(\frac{2}{5} - 6 \frac{2}{3} + 3\)

\(\frac{52}{5} - \frac{20}{3} + \frac{3}{1}\)

= \(\frac{156 - 100 + 45}{15}\)

\(\frac{156 + 45 - 100}{15}\)

= \(\frac{201 - 100}{15}\)

= \(\frac{101}{15}\)

= 6\(\frac{11}{15}\)