triangle
Two angles of a triangle are 50∘ and 60∘.
What is the third angle?
70o
Factorise fully:
3x+12
3(x+4)
Find 10% of £80.
£8
Share £40 in the ratio 3:5
£15 and £25
Simplify 32×34
36
A right-angled triangle has a base of 8 cm and a height of 5 cm.
Calculate its area.
20 cm2
Factorise fully:
y2 − 7y
y(y − 7)
Find 15% of 200 grams.
30g
A bag contains red and blue marbles in the ratio 4:74:7.
If there are 28 red marbles, how many blue marbles are there?
49
Simplify 57 ÷ 53
54
In an isosceles triangle, the angle between the two equal sides is 80o.
Find the other two angles.
50o
Factorise fully:
x2 + 9x + 20
(x + 4)(x + 5)
A shirt was £40. During a sale, the price is reduced by 30%.
What is the sale price?
£28
The ratio of boys to girls in a Year 9 class is 5:3.
There are 32 students in total.
How many are boys?
20
Simplify (23)4
212
A triangle has side lengths: 6cm, 10cm, and 2x cm.
It is isosceles and the perimeter is 28 cm.
Find x.
6 cm
Factorise fully:
x2 − 9
(x − 3)(x + 3)
Find 11% of 240.
26.4
x:y=2:3 and y:z=6:5.
Find x:z in its simplest form.
x:z=4:5
Simplify 65 × 62 ÷ 64
63
A triangle has side lengths 6,9,n (in cm), where n is a whole number.
List all possible values of n.
4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
Factorise fully:
4x2−25
(2x − 5)(2x + 5)
In a school, 35% of the students are in Year 9. There are 320 students in total.
How many students are in Year 9?
112
In a school, the ratio of students in Year 7 : Year 8 : Year 9 is 4:3:2.
There are 96 more students in Year 7 than in Year 9.
Find the total number of students in Year 8.
144
Simplify (23 × 25 ÷ 24)2
28