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.
104o
100o
80o
50o
24o
Correct answer is D
Latitudinal difference = 65° - 15°
= 50°
12cm
15cm
18cm
24cm
30cm
Correct answer is D
Considering the smaller and larger triangle, these two are similar triangles. Hence,
If the height of the smaller triangle = h,
\(\therefore \frac{h}{6} = \frac{h + 12}{12}\)
\(12h = 6h + 72 \implies 6h = 72\)
\(h = 12 cm\)
\(\therefore\) The height of the cone = 12 + 12 = 24 cm
3cm
6cm
9cm
12cm
More information is needed
Correct answer is B
\(Volume = \frac{4}{3} \pi r^3 = k\) ...(i)
\(S.A = 4\pi r^2 = k\) ... (ii)
Divide (i) by (ii),
\(\frac{4}{3} \pi r^3 \div 4\pi r^2 = \frac{k}{k}\)
\(\frac{r}{3} = 1 \implies r = 3cm\)
Diameter = 2 x 3cm = 6cm
37 5/7cm2
66cm2
75 3/7cm2
78 2/7cm2
88cm2
Correct answer is B
T.S.A of a cone = \(\pi r^2 + \pi rl\)
= \(\frac{22}{7} \times 3^2 + \frac{22}{7} \times 3 \times 4\)
= \(\frac{198}{7} + \frac{264}{7}\)
= \(\frac{462}{7}\)
= 66 cm\(^2\)
35cm3
154cm3
220cm3
528cm3
770cm3
Correct answer is E
\(V = \pi r^2 h\)
\(V = \frac{22}{7} \times 7 \times 7 \times 5\)
= 770 cm\(^3\)