Explore topic-wise MCQs in Grade8.

This section includes 330 Mcqs, each offering curated multiple-choice questions to sharpen your Grade8 knowledge and support exam preparation. Choose a topic below to get started.

101.

By simplifying [(16x6 y5 )²) ⁄(2x²y²)4 ] x [x5 y³ ⁄x³y², the answer will be

A. 16x4 y²
B. 16x5 y³
C. 16x6 y³
D. 16x7 y5
Answer» D. 16x7 y5
102.

By solving the following (2³)4, the answer will be

A. 27
B. 212
C. 2
D. 28
Answer» C. 2
103.

The answer of 69.6 in standard form is

A. 6.96 x 10²
B. 6.96 x 101
C. 6.96 x 10³
D. 6.96 x 10-2
Answer» C. 6.96 x 10³
104.

By simplifying the a3⁄4 ⁄a1⁄2 x a1⁄3, the answer will be

A. a7⁄13
B. a5⁄11
C. a7⁄12
D. a9⁄11
Answer» D. a9⁄11
105.

By solving 4(x - y)6 ⁄2(x - y), the answer will be

A. 2(x - y)³
B. 2(x - y)7
C. 2(x - y)6
D. 2(x - y)5
Answer» E.
106.

Consider a right angle triangle ABC, if AB = x, BC = 15, AC = y and angle of A is 47° then the values of x and y respectively are

A. 15.08
B. 16.08
C. 17.08
D. 18.08
Answer» C. 17.08
107.

The sum of cos 45° and tan 38° is

A. 0.4884
B. 2.8484
C. 1.4884
D. 3.4884
Answer» D. 3.4884
108.

In a right angle triangle ABC, if AB = x, BC = y, AC = 19 and angle of A is 32.4° then the values of x and y respectively are

A. 16.04, 10.17
B. 14.04, 11.17
C. 9.04, 12.17
D. 13.04, 13.17
Answer» B. 14.04, 11.17
109.

If XY = 16 and XZ = 45.2 then the angle of X and Z respectively are

A. 20.73°, 69.27°
B. 41°, 69°
C. 73°, 27°
D. 20°, 27°
Answer» B. 41°, 69°
110.

If a right angle triangle ABC has 13 as opposite side and hypotenuse is supposed as 'x' then A 47° is

A. 15.77
B. 17.77
C. 19.77
D. 21.77
Answer» C. 19.77
111.

The product of q³ and q² is equal to

A. q
B. q5
C. q7
D. q6
Answer» E.
112.

By expressing the answer in form of 10n, the answer of 106 x 10-3 ⁄10-5 is

A. 106
B. 105
C. 107
D. 108
Answer» E.
113.

The answer of (7.2 x 1016 )/(3.4 x 1018 ) in standard form is

A. 2.12 x 10-2
B. 2.12 x 10-2
C. 2.12 x 10-2
D. 2.12 x 10-2
Answer» D. 2.12 x 10-2
114.

By simplifying (3xy³)³, the answer will be

A. 18x³y8
B. 24x5 y8
C. 27x4 y6
D. 27x³y9
Answer» E.
115.

By simplifying the a³b5⁄6 ⁄a1⁄2 b2⁄3, the answer will be

A. a2⁄5 b1⁄4
B. a1⁄2 b1⁄5
C. a2⁄3 b5⁄6
D. a5⁄2 b1⁄6
Answer» E.
116.

If cos 55° and sin 55° = 0.8 each then the answer of 3 cos 125° + 5 sin 125° is

A. 1.6
B. 2.5
C. 2.3
D. 0.6
Answer» B. 2.5
117.

For any acute angle, cosine A is equal to

A. −cos (180° - A)
B. cos (180° - A)
C. −cos (180° + A)
D. cos (180° + A)
Answer» B. cos (180° - A)
118.

By expressing the cos 82° in terms of trigonometrical ratios, the answer will be

A. − cos 89° = -0.2319
B. − cos 29° = -0.8746
C. − cos 38° = -0.7880
D. − cos 98° = -0.1392
Answer» E.
119.

In the triangle ABC, if angle B = 60°, b = 11 cm and c = 8.7 cm then angle A and length of 'a' is

A. 52°
B. 43.23°
C. 46°
D. 49°
Answer» C. 46°
120.

If a = 16.5 cm, angle B = 52° and c = 10 cm then the area of Δ ABC is

A. 72.01 cm²
B. 83.01 cm²
C. 52.03 cm²
D. 65.01 cm²
Answer» E.
121.

The ladder leans against the wall at point B and makes an angles of 57° with the ground. If the height of the ladder is 8 m then the height of point B from the ground is

A. 6.71 m
B. 8.71 m
C. 9.71 m
D. 10.71 m
Answer» B. 8.71 m
122.

With respect to A in a right-angled triangle ABC, the side AC which is opposite to the right-angle is called

A. opposite side
B. hypotenuse
C. adjacent side + opposite side
D. adjacent side
Answer» C. adjacent side + opposite side
123.

The two trigonometrical ratios whose values cannot be greater than 1 are

A. sine and cosine
B. sine and tangent
C. tangent and cosine
D. all of above
Answer» B. sine and tangent
124.

The ladder leans against the wall at point B and makes an angles of 67° with the ground. If the height of the ladder is 10 m then the distance from the wall to the foot of ladder is

A. 2.91 m
B. 5.91 m
C. 4.91 m
D. 3.91 m
Answer» E.
125.

In a right angle triangle ABC, if BC is 8.7 and AC is 18.9 then the value of angle A is

A. 40.85°
B. 64.86°
C. 27.40°
D. 32.40°
Answer» D. 32.40°
126.

If the sine is 0.896 then the value of acute angle is

A. 78°
B. 72°
C. 63.64°
D. 65°
Answer» D. 65°
127.

The Cosine Rule is also known as

A. Sine triangle
B. Cosine Formula
C. Cosine Triangle
D. Cosine Area
Answer» C. Cosine Triangle
128.

For the Cosine Rule of any triangle ABC, the a² is equal to

A. b² + c² - 2bc cos A
B. b² + a² - 2ac cos A
C. b³ + c³ - 2bc cos B
D. b² - c² + 3bc cos C
Answer» B. b² + a² - 2ac cos A
129.

By expressing the cos 113° in terms of trigonometrical ratios, the answer will be

A. − cos 76° = -0.7093
B. − cos 65° = -0.4258
C. − cos 67° = -0.3907
D. − cos 62° = -0.8520
Answer» D. − cos 62° = -0.8520
130.

By expressing the sin 125° in terms of trigonometrical ratios, the answer will be

A. sin 65° = 0.9128
B. sin 55° = 0.8192
C. sin 70° = 0.5384
D. sin 72° = 0.1982
Answer» C. sin 70° = 0.5384
131.

By solving the inequality 1⁄3(x + 4) > (6 - 2x), the answer will be

A. x < 12⁄5
B. x < 11⁄5
C. x < 13⁄5
D. x < 14⁄5
Answer» E.
132.

If a &lt; b and b &lt; 0 then

A. a is less than equal to 0
B. a is greater than equal to 0
C. a = b
D. both a and b
Answer» B. a is greater than equal to 0
133.

By solving the inequality a - 7 &lt; 5 - 3a, the answer will be

A. a < 3
B. a < 5
C. a < 6
D. a < 7
Answer» B. a < 5
134.

If x &gt; y and y &gt; z then

A. x > z
B. x < z
C. x = 0
D. y = 0
Answer» B. x < z
135.

By solving the inequality 1⁄2(4x + 2) &gt; 1⁄3(x + 2), the answer will be

A. x > -1⁄5
B. x > -1⁄7
C. x > -2⁄5
D. x > -2⁄9
Answer» B. x > -1⁄7
136.

The line which is perpendicular to the line passing through intersection point is called

A. triangular
B. normal
C. trigonometrical
D. angular
Answer» C. trigonometrical
137.

If a = 9.7 cm, angle B = 64° and c = 8.8 cm then the area of Δ ABC is

A. 38.36 cm²
B. 42.36 cm²
C. 25 cm²
D. 24.35 cm²
Answer» B. 42.36 cm²
138.

For any acute angle, sine A is equal to

A. sin (180° - A)
B. sin (90° - A)
C. sin (180° + A)
D. sin (2A - 180°)
Answer» B. sin (90° - A)
139.

If the cosine is 0.8 then the value of acute angle is

A. 52.57°
B. 36.87°
C. 45°
D. 47.23°
Answer» C. 45°
140.

The number of dimensions a line can have is

A. zero
B. infinite
C. one
D. negative
Answer» D. negative
141.

By simplifying (3x5 y6 )4 ⁄(3x4 y6 )³, the answer will be

A. 3x8 y6
B. 3x5 y7
C. 3x9 y5
D. 3x10 y4
Answer» B. 3x5 y7
142.

The product of p³q4 and p5 q5 is

A. p8 q9
B. p7 q6
C. p²q
D. pq9
Answer» B. p7 q6
143.

The answer of following (a³b)4 is

A. a14 b5
B. a8 b4
C. a12 b4
D. a10 b³
Answer» D. a10 b³
144.

The answer of 0.000045 in standard form is

A. 4.5 x 10-6 `
B. 4.5 x 10-7 `
C. 4.5 x 10-5 `
D. 4.5 x 10-4 `
Answer» D. 4.5 x 10-4 `
145.

The answer of 0.495 in standard form is

A. 4.95 x 10-2
B. 4.95 x 10-3
C. 4.95 x 10-4
D. 4.95 x 10-1
Answer» E.
146.

The formula for the area of a triangle is

A. 1/height x base
B. height x base
C. 1/2 x base x height
D. 1/base x height
Answer» D. 1/base x height
147.

Considering 0° &lt; x &lt; 180°, the angle of cos x = -0.8726 is

A. 167.35°
B. 165.82°
C. 160.72°
D. 150.76°
Answer» E.
148.

The dimensions of solid includes

A. length
B. breadth
C. height
D. all of above
Answer» E.
149.

If the sine is 0.2586 then the value of acute angle is

A. 14.99°
B. 16°
C. 18°
D. 17.98°
Answer» B. 16°
150.

Considering the Cosine rule, the b² + c² - a²⁄2bc is equal to

A. cos D
B. cos C
C. cos B
D. cos A
Answer» E.