Number
Insert brackets to make this calculation correct:
32 + 3 × 2 + 5 = 20
32 + (3 × 2) + 5 = 20
Expand 2x(5x + 7)
10x2 + 14x
Find the mode, median and mean from the list:
30, 28, 19, 14, 20, 11, 30, 27, 20, 30
Mode: 30
Median: 23.5
Mean: 22.9
A right-angled triangle has a 40cm base and a height of 16cm. Find the area of the triangle.
320cm2
State the sizes of the angles in a right-angled isosceles triangle.
90°, 45°, 45°
1823 people attend a concert. Tickets for the concert cost £27.50. Estimate the total revenue from ticket sales and state whether this is an under-estimate or an over-estimate.
£60000, over-estimate
Factorise 24a + 27b + 33c
3(8a + 9b + 11c)
Find the mode from the table:
n | f
0 | 3
1 | 15
2 | 9
3 | 11
4 | 2
1
A pizza is 24cm in diameter. Find its circumference to 3s.f.
75.4cm
What is the sum of the angles in a 27-sided polygon?
4500°
Without using a calculator, estimate the value of √150 to one decimal place.
12.2
Find the value of x
7x - 3 = 3x + 25
x = 7
Find the median from the table:
n | f
0 | 3
1 | 15
2 | 9
3 | 11
4 | 2
2
A right-angled triangular prism is 3cm tall, 4cm wide and 10cm deep. Work out the volume of the prism.
60cm3
Five of the six angles in a hexagon are 104°, 111°, 103°, 126° and 119°. Work out the missing angle.
157°
A tennis ball is served at a speed of 140mph to the nearest 10mph. Write an error interval for the speed s of the tennis ball.
135 ≤ s < 145
Find the nth term of the sequence
4, 13, 22, 31, ...
9n - 5
Find the mean from the table:
n | f
0 | 3
1 | 15
2 | 9
3 | 11
4 | 2
1.85
Using only a 5-litre and 3-litre jug, measure exactly 4 litres of water.
Fill the 5L jug
Pour from the 5L to 3L jug
Empty the 3L jug
Pour from the 5L to 3L jug
Refill the 5L jug
Pour from the 5L to 3L jug
Two equilateral triangles meet a square and one other regular polygon at a point. How many sides does the other polygon have?
12
Without using a calculator, find the value of 3.7 × 108 - 2.3 × 106. Give your answer in standard form.
3.677 × 108
Expand and simplify
(2x - 9)(x + 4)
2x2 - x - 36
Jared and Eric both run 5k. Their times for each kilometre are recorded:
Jared:
4:47, 5:01, 5:38, 6:02, 6:27
Eric:
5:32, 5:33, 5:39, 5:35, 5:21
Who is the better runner? Give a reason for your opinion.
Eric is the better runner as his range of times is smaller, showing that he's more consistent. Jared beat Eric's time but each kilometre was slower than the previous kilometre suggesting that he was getting tired quicker than Eric who recorded his best time in the final kilometre.
A shipping container is 6m long, 2m wide and 3m deep. It is filled with cube-shaped parcels which are 50cm long. How many parcels can the shipping container hold?
288
On whiteboards, draw four diagrams:
One showing two corresponding angles
One showing two alternate angles
One showing two vertically opposite angles
One showing two co-interior angles
All four diagrams must be annotated with the rule associated with each pair of angles.
Corresponding angles are equal
Alternate angles are equal
Vertically opposite angles are equal
Co-interior angles add up to 180°