Number
Trigonometry
3D Geometry
Straight Lines & Voronoi
Linear Applications
100
Round 3.14759 to 3 significant figures
3.15
100
In a right triangle, if the opposite side is 3 and the hypotenuse is 5, find sin θ.
0.6 or 3/5
100
Find the volume of a cube with side length 4 cm.
64 cubic centimeters
100
Find the gradient of the line passing through points (2, 3) and (6, 11),
2
100
Find the 10th term of the arithmetic sequence: 5, 8, 11, 14, ...
32
200
Find the upper bound of 45 cm measured to the nearest cm.
45.5 cm
200
A right triangle has legs of 6 cm and 8 cm. Find the length of the hypotenuse.
10 cm
200
Calculate the surface area of a cylinder with radius 3 cm and height 10 cm.
78π cm² or 245 cm²
200
Write the equation of a line parallel to y = 3x + 2 that passes through (0, -5) (in slope intercept form).
y = 3x - 5
200
Calculate the amount of simple interest earned on $2000 invested at 5% per year for 3 years.
$300
300
Calculate the percentage error if the actual value is 50 and the measured value is 47.4
5.2%
300
In triangle ABC, angle A = 35°, angle B = 75°, and side a = 12 cm. Find side b.
20.2 cm
300
A sphere has radius 6 cm. Find its volume.
288π cm³ or 905 cm³
300
Two lines are given: 2x + 3y = 6 and 3x - 2y = 12. Determine if they are parallel, perpendicular, or neither
Perpendicular
300
A linear model shows that temperature T (°C) relates to altitude h (meters) by T = 25 - 0.006h. Describe the value of the slope in the context of the problem.
The temperature will drop 0.006 degrees for ever meter of altitude increase.
400
A rectangle has length 12.5 cm and width 8.3 cm (both to 1 d.p.). Find the lower bound of its area. (Express with 3 sf).
103 square cm
400
In triangle ABC, a = 7 cm, b = 9 cm, and angle C = 50°. Find side c.
7.00 cm
400
Find the surface area.
73.4 square centimeters
400
Sites A(2, 3) and B(8, 7) of a Voronoi diagram are given. Find the equation of the edge between these two sites (in general form).
3x + 2y - 25 = 0 OR -3x - 2y + 25 = 0
400
An arithmetic sequence has first term 12 and common difference -3. Find the sum of the first 20 terms
-330
500
A calculation involves (15.7 × 3.2) ÷ 4.8, where all values are given to 1 d.p. Calculate the upper bound of the result. (Express with 3sf).
10.8
500
The point B is 7 km from A on a bearing of 105°. The distance from B to C is 5 km and the bearing from B to C is 230°. Find the distance from A to C.
5.82 km
500
A pencil is put into a cuboid shaped box which has dimensions 3cm by 4cm by 6cm. The longest pencil possible that can fit in the box is put in the box. Find the angle that the pencil would make with the top of the box.
22.6 degrees
500
A delivery drone at point D(1, 9) needs to drop a package to the nearest point on the road represented by the line 3x + 4y = 24. Find the coordinates where the package should land.
(2.8, 3.6) or (14/5, 18.5)
500
An arithmetic sequence has fifth term 23, and twelfth term 58.
Find the sum of the terms from the 10th term to the 25th term inclusive.
1368