The diagram shows the speed-time graph of a train moving from Birmingham to London.
What is the total distance travelled between 10 am and 11:00 am?
71.25 km
61.25 km
36.25 km
126.25 km
98.75 km
Basket A contains 4 apples, 6 oranges, and 2 lemons. Basket B contains 5 apples, 4 oranges, and 6 lemons. You are to get two fruits from each basket.
What is the probability of getting 2 oranges from Basket A and 1 apple and 1 lemon from Basket B?
1/14
1/42
1/45
5/77
1/462
f(x) = x2 - 4
g(x) = (x + 1)2
Describe the transformation of the graph of g(x) from the graph of f(x).
Shift 1 unit to the right and then shift 4 units down
Shift 1 unit to the left and then shift 4 units up
Shift 4 units to the right and then shift 1 unit up
Shift 1 unit to the left and then shift 4 units down
Shift 1 unit to the right and then shift 4 units up
This question is about angles between the clock hands.
What angle is formed by the hands of a clock at 9:20?
160 degrees
150 degrees
145 degrees
130 degrees
30 degrees
Two circles and a rectangle are used to create a cylinder. The rectangle is 12 cm long and 8 cm wide.
Find the volume of the largest cylinder formed.
144/π cm3
192/π cm3
216/π cm3
256/π cm3
288/π cm3
A regular octagon is inscribed within a circle. Find the ratio of the shaded area to the circle’s area.
\(4\pi - \sqrt 2 \over 4 \pi\)
\(4 - \sqrt 2 \over 4\)
\(4- \sqrt 2 \over 4 \pi\)
\(4 \pi - \sqrt 2 \over 4\)
\(\pi - 2 \sqrt 2 \over \pi\)
A closed cylinder is placed inside a sphere such that it just fits. The ratio of the cylinder’s height to its diameter is 2:1. What is the ratio of the volume of the sphere to the volume of the cylinder?
\(10 \sqrt 5 \over 3\)
\(10 \sqrt 2 \over 3\)
\(8 \sqrt 5 \over 3\)
\(8 \sqrt 2 \over 3\)
\(5 \sqrt 5 \over 3\)
A circle inscribed within an equilateral triangle has radius 1 cm. What is the area of the triangle?
\(3\sqrt3 cm2\)
\(2\sqrt3 cm2\)
\(\sqrt3 cm2\)
\(6\sqrt3 cm2\)
\(2 cm2\)
A racing track is to be designed such that its total perimeter is 400m. Find the values of x and y that maximise the total area enclosed by the track.
\(y=\frac{200}{\pi} ;x=100\)
\(y=\frac{400}{(\pi+2)} ;x=\frac{400}{(\pi+2)}\)
\(y=\frac{400}{\pi} ;x=0\)
\(y=\frac{200}{(\pi+2)} ;x=\frac{200}{(\pi+2)}\)
\(y=\frac{200}{(\pi^2)} ;x=0\)
A cone of base radius 5cm is removed from a larger cone of base radius 10cm, leaving a closed frustum of height 5cm. What was the volume of the original cone in cubic centimetres?
\(1000 \pi \over 3 \)
\(500 \pi\)
\(1000 \pi\)
\(125\pi \over 3\)
\(50 \pi\)
Free Calibration Test
Free Calibration Test