Mathematics quick practice

Question 1 of 10

Find the gradient of the line through (−3, 3) and (0, 6).

Question 2 of 10

The function f is defined by f(x) = 4x − 4 on the domain {−2, −1, 0, 1, 2, 3}. (a) Find the range. (b) Draw an arrow diagram for the mapping. (c) Find x when f(x) = 20.

Question 3 of 10

A cylindrical water tank has a radius of 21 cm and a height of 30 cm. Taking π = 22/7, find (a) its volume in cm³, (b) its capacity in litres, (c) its curved surface area, (d) its total surface area if it is closed at both ends.

Question 4 of 10

In y = mx + c, m is the

Question 5 of 10

A fridge has a cash price of GH₵ 2,400. On hire purchase, a deposit of 30% is paid, followed by 12 monthly instalments of GH₵ 200. (a) Find the deposit. (b) Find the total hire purchase price. (c) How much more is the hire purchase price than the cash price, and what percentage of the cash price is this (1 decimal place)?

Question 6 of 10

Pythagoras' theorem can be written as

Question 7 of 10

The line y = −2x − 2 crosses the y-axis at the point (0, ___).

Question 8 of 10

Triangle ABC has vertices A(2, 1), B(6, 1) and C(2, 5). (a) Reflect ABC in the x-axis and give the image coordinates. (b) Rotate ABC through 180° about the origin and give the image coordinates. (c) State one property that is kept by both transformations.

Question 9 of 10

The magnitude of the vector (−5, 12) is ___.

Question 10 of 10

In a pie chart, the angles of all the sectors add up to