Year 7
Solve for x: 3x + 4 = 19
x = 5
Simplify and solve: 2(3x - 4) + 5 = 17
x = 3
Expand and simplify: (x+3)(x−2)
x2+x−6
Increase 60 by 10%
66
Solve: 5x=40
x=8
Convert 0.375 to a fraction in its simplest form
3/8
Express 45% as a fraction in its simplest form
9/20
Increase 80 by 25%
100
Expand: (x−2)2
x2−4x+4
Write 0.125 as a fraction in its simplest form
1/8
Convert 5 kilometres into metres
5000 metres
Convert 1500 millilitres to litres
1.5 litres
A square has an area of 64 cm². What is the length of one side?
8 cm
Solve: 3x−7=2x+4
x=11
Solve: 2(x+3)=3x−4
x=10
A triangle has two angles measuring 50° and 65°. What is the size of the third angle?
65°
Two angles on a straight line measure 110° and xx°. What is the value of xx?
x=180°−110°=70°
In a triangle, one angle measures 2x°, another measures 3x°, and the third angle is 40°. Find the value of xx.
x=28
A cube has a surface area of 150 cm². Each face is square. What is the area of one face?
25 cm²
A £200 phone is reduced by 15%. What is the sale price?
£170
In a recipe, the ratio of flour to sugar is 3:2. If you use 300g of flour, how much sugar is needed?
200g
The ratio of apples to oranges is 2:5. If there are 14 oranges, how many apples are there?
4 apples
A bag of marbles contains red, blue, and green marbles in the ratio 2:3:5. There are 60 marbles in total. How many are green?
30
After a 20% discount, a jacket costs £64. What was the original price?
£80
A cylinder has height 10 cm and radius 3 cm. Give the formula for volume (leave in terms of π).
90π cm3