Expanding and Factorising
Pupil A writes down the following answer:
3(y + 2) = 3y + 2
What mistake has she made?
Pupil A has forgotten to multiply 2 by 3.
Calculate the area of a square with a side length of 14cm.
196 cm2
Show that 3/7 and 15/35 are equivalent.
17/32 + 14/32
31/32
Put the correct symbol between the fractions:
Choose from <, >, or =.
0.6 3/10
0.6 > 3/10
Expand -2(9y - 5)
-18y + 10
Calculate the area of a rectangle of base 25m and height 17m.
425 m2
Simplify fully:
48/84
4/7
82/43 - a/43 = 1
Find the missing numerator, a.
a = 39
Find the fraction that is half way between 1/12 and 7/12?
4/12
18x + 4(4x - 7)
The area of a parallelogram is 24 cm2.
If the height is 5cm, what is the base length?
4.8 cm
Write 87/6 as an mixed number.
14 5/6
8/13 - 4/9
20/117
Write these fractions in ascending order:
7/10 17/20 4/5 1/4
1/4 7/10 4/5 17/20
Factorise:
96a - 64b
32(3a - 2b)
A square has an area of 81 mm2.
What is the perimeter of the square?
36 mm
Express 0.02 as a fraction of 0.9.
1/45
2 5/8 - 1 1/6
1 11/24
Find the midpoint of 2/5 and 2/3.
8/15
Simplify fully by first factorising:
6y + 12 / 3
2(y + 2) or 2y + 4
Ava needs to buy grass seed to cover her lawn:
height - 5.09m and base - 7.8m
Grass seed costs £5 per m2.
By rounding the dimensions of her lawn to the nearest integer find an estimate for the cost of the grass seed.
£200
Which is larger: 5/8 or 7/12?
Show your working out.
15/24 and 14/24, so 5/8 is larger.
What is the perimeter of the rectangle?
14 34/35
Find the midpoint of 1 2/5 and 2 5/6.
127/60 = 2 7/60