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.
Find the value of x which satisfies the equation
5(x-7)=7-2x
x =2
x=4
x=6
x = 14
Correct answer is C
5(x - 7) = 7 - 2x
5x - 35 = 7 - 2x
5x + 2x = 7 + 35
7x = 42
x = \(\frac{42}{7}\)
= 6
Simplify \(\left(1\frac{2}{3}\right)^2 - \left(\frac{2}{3}\right)^2\)
\(2\frac{1}{3}\)
\(1\frac{1}{3}\)
1
\(\frac{3}{7}\)
Correct answer is A
\(\left(1\frac{2}{3}\right)^2 - \left(\frac{2}{3}\right)^2=\left(\frac{5}{3}\right)^2 - \left(\frac{2}{3}\right)^2\)
Difference of two squares
\(\left(\frac{5}{3}-\frac{2}{3}\right)\left(\frac{5}{3}+\frac{2}{3}\right)=\left(\frac{3}{3}\right)\left(\frac{7}{3}\right)\\
\frac{7}{3}=2\frac{1}{3}\)
1
4
5
6
Correct answer is C
\(5+x\rightarrow 500\\
3 \rightarrow 150\\
∴ 3 \times 500 = 150 \times (5+x)\\
1500 = 750 + 150x\\
x=\frac{750}{150}=5\)
In the diagram, PQ/RT /RS/ =/QS/, ∠QST= 70° and ∠PQW = 55°
Find the size of reflex ∠WQS
235o
290o
305o
325o
Correct answer is A
Reflex ∠WQS = 360° - (55° + 70°)
=360° - 125° = 235°
Simplify \(\frac{4\sqrt{18}}{\sqrt{8}}\)
2
3
6
12
Correct answer is C
\(\frac{4\sqrt{18}}{\sqrt{8}}\\
= \frac{4\sqrt{9\times 2}}{\sqrt{4 \times 2}} = \frac{12\sqrt{2}}{2\sqrt{2}}=\frac{6\sqrt{2}}{\sqrt{2}}\\
Rationalising \frac{6\sqrt{2}}{\sqrt{2}}\\
=\frac{6\sqrt{2}}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 6\)