The distance between two towns is 50km. It is represented on a map by 5cm. Find the scale used
1: 1,000,000
1: 500,000
1: 100,000
1: 10,000
Correct answer is A
1km = 100,000cm
on the map 1 cm represent every 10 km which is equal to (10 x 100,000cm)
= 1,000,000cm
the scale is 1:1,000,000
48cm3
47cm3
38cm3
12cm3
Correct answer is C
Volume of a cone = \(\frac{1}{3} \pi r^2h\)
h2 = 52 = 32
= 25 - 9 = 16
h = \(\sqrt{16}\)
h = 4cm
v = \(\frac{1}{3} \times \frac{22}{7} \times 3^2 \times 4\)
\(\frac{1}{3} \times \frac{22}{7} \times 9 \times 4\)
= \(\frac{22 \times 3 \times 4}{7}\)
= 37.7cm3
= 38cm3
322m3
448m3
632m2
840m2
Correct answer is B
Volume of pyramid = \(\frac{1}{3}\) x base area x height
= \(\frac{1}{3} \times 12^4 \times 8 \times 14\)
= 4 x 8 x 14 = 448m3
Given that P = x2 + 4x - 2, Q = 2x - 1 and Q - p = 2, find x
-2
-1
1
2
Correct answer is B
P = x2 + 4x - 2, Q = 2x - 1
Q - p = 2, (2x - 1) - (x2 + 4x - 2) = 2
2x - 1 - x2 - 4x + 2 = 2
-2x - x2 + 1
-x2 - 2x - 1 = 0
x2 + 2x + 1 = 0
x2 + x + x + 1 = 0
x(x + 1) + 1(x + 1) = 0
(x + 1)(x + 1) = 0
x + 1 = 0 or x + 1 = 0
x = -1 or x = -1
x = -1
15
12
9
6
Correct answer is B
Let the interior angle = xo
interior angle = 5xo (sum of int. angle ann exterior)
(angles = angle or straight line)
6x = 180
x = \(\frac{180}{6}\)
x = 30o
no. of sides = \(\frac{\text{sum of exterior angles}}{\text{exterior angle}}\)
= \(\frac{360}{30}\) = 12