Fractions
Order the fractions from least to most:
4/5 5/8 7/10 3/4
Least
7/10 (24/40)
5/8 (25/40)
3/4 (30/40)
4/5 (32/40)
Most
How many millilitres are in 3 litres?
3000ml
Is 47 a prime number? Explain your reasoning.
Yes - It only has 2 factors: 1 x 47 / It's only divisible by 1 and 47
Prime numbers only have 2 factors: 1 and itself
How many lines of symmetry does a regular hexagon have?
6
Find the value of n:
n + 7 = 15
8
Find 6/7 of 840
720
Convert 2.5km into metres.
2500m
Write down all the factors of 24.
1 x 24
2 x 12
3 x 8
4 x 6
What is the sum of the interior angles of a triangle?
180 degrees
What is the are of a triangle with base of 10cm and a perpendicular height of 6cm?
10 x 6 = 60
60 / 2 = 30cm2
Write 0.375 as a fraction in its simplest form.
375/1000 = 75/200 = 15/40 = 3/8
A jug contains 750ml of Juice. It is emptied into 3 equal cups.
How much juice is in each cup?
250ml
Write down the first 3 common multiples of 4 and 6.
12
24
36
A rectangle has a perimeter of 30cm. Its length is 9cm.
What is its width?
6cm
Find the mean of: 8, 12, 10, 6 and 14.
8 + 12 + 10 + 6 + 14 = 50
50 / 5 = 10
2/3 ÷ 18
2/3 x 1/18 = 2/54 = 1/27
A car travels 180km in 3 hours.
What is the average speed in km/h? (kilometres per hour)
60km/h
A number has exactly 6 factors.
It is less than 30.
What could the number be?
12, 18, 20, 28
Two angles on a straight line are labelled x and 2x + 30.
Find the value of x.
180 - 30 = 150
150 / 3 = 50 degrees
42 + 12 - 5
16 + 12 - 5
28 - 5 = 23
Greg is given £25 for his birthday.
He spends 3/5 of his money, then spends 1/4 of what he has left.
How much money does he have remaining?
£11.50
A rectangular field is 60m long and 40m wide.
A path 2m wide is built all the way around the inside edge.
What are of the field is left uncovered?
2016m2
2m per sideA number has 5 digits. What's the number?
- The digit in the ten thousands place is 3 less than 8.
- The digit in the thousands place is twice the digit in the hundreds place.
- The hundreds digit is 4.
- The tens digit is half the hundreds digit.
- The ones digit is the difference between the thousands and tens digits.
58,426
A parallelogram has a base of 12cm and a perpendicular height of 7cm.
What is the perimeter of the parallelogram?
What is the area of the parallelogram?
Perimeter: (12 x 2) + (7 x 2) = 38cm
Area: 12 x 7 = 84cm2
A cuboid has dimensions 5cm, 4cm and 3cm.
What is its volume?
20 x 3 = 60cm3