WorksheetsLevel 3 Vocational Maths Quiz
Total questions: 24
Worksheet time: 12mins
A robotic arm rotates with a radius of 150 mm and turns through an angle of 210°. What is the arc length? (Use arc length = θ × r, with θ in radians)
275 mm
355 mm
550 mm
450 mm
Convert the angle 5π/6 radians to degrees.
150°
120°
90°
180°
A gear wheel has a diameter of 120 mm. An angle of 45° is subtended at the centre. What is the area of the sector?
565 mm²
1413 mm²
452 mm²
706 mm²
What is the arc length of the same 45° sector (diameter = 120 mm)?
94.2 mm
47.1 mm
31.4 mm
62.8 mm
In a right-angled triangle, angle X = 42°, hypotenuse = 10 cm, and the side opposite X = 7.5 cm. What is the adjacent side?
7.4 cm
6.8 cm
8.1 cm
9.0 cm
A ramp rises 1.2 m vertically at an angle of 26°. What is the length of the ramp?
1.35 m
2.74 m
1.70 m
2.24 m
What is the value of sin(90°)?
0
1
-1
0.5
What is the value of cos(180°)?
1
0
-1
-0.5
The tangent function is undefined at which of the following angles?
0°
180°
270°
360°
Two forces of 120 N and 160 N act at a 70° angle. Use the cosine rule to find the magnitude of the resultant force.
245.3 N
182.0 N
206.6 N
298.4 N
In triangle ABC, side c = 15 cm, angle A = 50°, angle B = 65°. Use the sine rule to find side a.
13.4 cm
17.1 cm
11.8 cm
14.7 cm
A sphere has radius 6.5 cm. What is the volume of the sphere? Use V = 4/3 πr³
1150 cm³
1437 cm³
920 cm³
1600 cm³
What is the surface area of the same sphere?
530 cm²
1200 cm²
531.0 cm²
1047.1 cm²
A cylinder has radius 4 cm and height 10 cm. What is the volume?
502.7 cm³
376.8 cm³
460.1 cm³
728.3 cm³
A cone has radius = 2 m, height = 3 m, slant height = 3.6 m. What is the total surface area? Use SA=πr(r+l)
35.2 m²
28.3 m²
33.5 m²
25.1 m²
What is the value of tan(45°)?
0
-1
1
√3
A sector of a circle has a radius of 8 cm and an angle of 60°. What is the area of the sector?
40.2 cm²
33.5 cm²
67.0 cm²
25.1 cm²
In triangle PQR, side PQ = 9 cm, side QR = 12 cm, and angle Q = 90°. What is the length of side PR?
10.5 cm
15 cm
14 cm
7.5 cm
What is the value of sin(30°)?
1
0.5
0
√3/2
A right-angled triangle has legs of 5 cm and 12 cm. What is the length of the hypotenuse?
10 cm
12.5 cm
13 cm
11 cm
A circle has a radius of 10 cm. What is the circumference? (Use C = 2πr)
78.5 cm
20 cm
62.8 cm
31.4 cm
What is the value of cos(60°)?
√3/2
0
1
0.5
A right-angled triangle has a hypotenuse of 10 cm and one leg of 6 cm. What is the length of the other leg?
8 cm
7 cm
6 cm
4 cm
Convert 135° to radians.
7π/8
5π/6
3π/4
2π/3
