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The mean of ten numbers is 9.5. If the mean of eight of them is 8.2, find the mean of the remaining two.
Given that m varies inversely as the cube root of n and n = 64 when m = 3, find m when n = 8
The gradient of a straight line which passes through the point (-2,3) is 2. Find its equation
Evaluate sin210°+cos210°
The table shows the distribution of the height of plants in a nursery
Height 2 3 4 5 6
Frequency 2 4 5 3 1
Find the percentage of plants with heights above the modal height
A fair die is thrown once. Find the probability of obtaining a 3, 4 or 5
If find the value of p
Write 4897 correct to three significant figures
Write down the 5th term of the sequence 1, 2, 3; 2, 3, 4; 3, 4, 5; …
If find the value of n
Given that a = 3 and b = . find the value of
Find r in terms of q, s, and t in the equation:
If (x-y) is one of the factors of , find the other factor
If , find z when x = 2 and y =3
Given that find the solution set of the inequality:
An empty container with rectangular base is 50 cm long and 24 cm wide. If 36 liters of water is poured into the container. How high will the water level rise?
The diameter of the base of a cone is 8cm and its height is 3 cm. Calculate the curved surface area of the cone.
The interior angle of a regular polygon of n sides is 120°. What is the value of n?
From the top of a cliff 90 m high, the angle of depression of a boat on the sea is 36.2°. Calculate correct to one decimal place, the distance of the boat from the cliff