What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13
Find all the factors of:
27
1, 3, 9, 27.
Subtract the 7th from the 11th multiples of:
8
32
What are the names of regular polygons with:
a) eight sides;
b) nine sides;
c) ten sides.
Octagon, Nonagon and Decagon (all regular)
Round to three significant figures:
a) 83.46; 83.5
b) 313332; 313000
c) 23; 23.0
d) 0.002395; 0.00240
Find the area of a triangle that has a base of 6cm and a height of 10cm.
30cm2
Find the area of a trapezium that has a base of 14cm, a height of 11cm and a top (parallel to base) of 6cm. 110cm2
Evaluate:
\( \frac{2}{4} + \frac{5}{7}\) \(= 1\frac{3}{14}\)
Evaluate:
\( \frac{3}{4} × \frac{6}{8}\) \(= \frac{9}{16}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{4}{3}\) \(= \frac{3}{8}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage to 3 significant figures.
\( \frac{4}{7}\) \(= 57.1\)%
Find the area of a circle that has a radius of 4cm. Give your answer to three significant figures.
50.3cm2
Find the circumference of a circle that has a radius of 7cm. Give your answer to three significant figures.
44.0cm
Calculate the value of:
9.8 + 7.6
= 17.4
Calculate the value of:
7.1 − 2.6
= 4.5
Calculate the value of:
4.5 × 8.6
= 38.7
Calculate the value of:
68.4 ÷ 18
= 3.8
What is the value of:
32
= 9
What is the value of:
\(1^{1}\)
\(= 1\)
Calculate the value of:
49 + 98
= 147
Calculate the value of:
63 − 26
= 37
Calculate the value of:
73 × 88
= 6424
Calculate the value of:
2125 ÷ 25
= 85
Find the value of:
5% of 80
= 4
Find the value of:
3.39 × 105
= 339000
Find the highest common factor of twenty eight and twelve.
= 4
3 × 3 = 9 | 6 × 4 = 24 |
4 × 4 = 16 | 5 × 2 = 10 |
8 × 5 = 40 | 9 × 4 = 36 |
7 × 3 = 21 | 2 × 4 = 8 |
9 × 8 = 72 | 5 × 2 = 10 |
8 × 12 = 96 | 4 × 11 = 44 |
7 × 6 = 42 | 3 × 3 = 9 |
6 × 6 = 36 | 2 × 2 = 4 |
7 × 2 = 14 | 4 × 2 = 8 |
3 × 2 = 6 | 5 × 2 = 10 |
6 × 2 = 12 | 9 × 2 = 18 |
8 × 2 = 16 | 2 × 2 = 4 |
7 × 3 = 21 | 8 × 3 = 24 |
9 × 3 = 27 | 3 × 3 = 9 |
5 × 3 = 15 | 6 × 3 = 18 |
4 × 3 = 12 | 2 × 3 = 6 |
6 × 4 = 24 | 9 × 4 = 36 |
5 × 4 = 20 | 7 × 4 = 28 |
8 × 4 = 32 | 4 × 4 = 16 |
3 × 4 = 12 | 2 × 4 = 8 |
4 × 5 = 20 | 6 × 5 = 30 |
5 × 5 = 25 | 9 × 5 = 45 |
8 × 5 = 40 | 7 × 5 = 35 |
3 × 5 = 15 | 2 × 5 = 10 |
8 × 6 = 48 | 5 × 6 = 30 |
4 × 6 = 24 | 6 × 6 = 36 |
9 × 6 = 54 | 3 × 6 = 18 |
7 × 6 = 42 | 2 × 6 = 12 |
7 × 7 = 49 | 4 × 7 = 28 |
8 × 7 = 56 | 3 × 7 = 21 |
9 × 7 = 63 | 5 × 7 = 35 |
6 × 7 = 42 | 2 × 7 = 14 |
4 × 8 = 32 | 6 × 8 = 48 |
5 × 8 = 40 | 3 × 8 = 24 |
9 × 8 = 72 | 8 × 8 = 64 |
7 × 8 = 56 | 2 × 8 = 16 |
8 × 9 = 72 | 7 × 9 = 63 |
5 × 9 = 45 | 4 × 9 = 36 |
9 × 9 = 81 | 3 × 9 = 27 |
6 × 9 = 54 | 2 × 9 = 18 |
7 × 12 = 84 | 5 × 12 = 60 |
3 × 12 = 36 | 6 × 12 = 72 |
4 × 12 = 48 | 8 × 12 = 96 |
9 × 12 = 108 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{9}{18}\) \(= \frac{1}{2}\)
Evaluate:
\( 3\frac{1}{2} − \frac{4}{5}\) \(= 2\frac{7}{10}\)
Find BC if AB = 3.8m and AC = 5.3m. 6.52m
Find angle ABC if AC = 5.9m and AB = 7.6m. 37.8o
Find AC if angle ABC = 61o and AB = 4.6m. 8.30m
Give your answer in Roman numerals.
2
Give your answer in Roman numerals.
2
Give your answer in Roman numerals.
2
Convert this fraction to a decimal.
\( \frac{3}{6}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.43\) = \( \frac{43}{100}\)
Increase £160 by 20%
£192
What is the lowest common multiple of eight and twenty four.
= 24
6,18,30,42,54...
Find the:
a) next term; 66
b) nth term; 12n - 6
c) term number 30; 354
6,18,54,162,486...
Find the:
a) next term; 1458
b) nth term; 6 × 3n-1
c) term number 11; 354294
If £200 is invested for 4 years with a simple interest rate of 4%, find the amount of interest earned. £32.00
If £160 is invested with an interest rate of 4% compounded annually, find the value of the investment after 9 years. £227.73
If £1 is worth $1.33, convert:
a) £220 to dollars; $292.60
b) $120 to pounds; £90.23
What are the coordinates of the midpoint of the line joining:
\((3,5) \text{ and } (11,17)\)
(7,11)
What is the gradient of the line joining:
\((-2,4) \text{ and } (1,8)\)
\(\frac{4}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,3),(10,7),(1,8)\)
(6,12)
a) 9 − 17 = -8
b) 9 × (-12) = -108
c) (6−15)(7−17) = 90
d) 108 ÷ (-12) = -9
e) (-7)2 = 49
If p = 6, q = 23 and
r = -11 evaluate:
a) 2q − p = 40
b) pq + r = 127
c) p2 − 5q - r = -68
Solve:
\(2x = 18\)
\(x = 9\)
Solve:
\(5x -3= 27\)
\(x = 6\)
Solve:
\(10x -4= 6x + 16\)
\(x = 5\)
Solve:
\(3(2x +2)-6= 18\)
\(x = 3\)
Solve:
\(5(5x + 2)= 3(3x + 3)\)
\(x = -0.0625 \text{(to 3 sf)}\)
Solve:
\(4x+3y = 18\)
\(3x+3y = 15\)
\(x = 3, y = 2\)
Solve:
\(2x+2y = 16\)
\(5x+4y = 35\)
\(x = 3, y = 5\)
Solve:
\(2x-7y = 7.5\)
\(5x-3y = -32\)
\(x = -8.5, y = -3.5\)
Find the union of:
{5,6,7,8,9,10} and
{2,3,5,7,11,13}
{2,3,5,6,7,8,9,10,11,13}
Find the intersection of:
{2,4,6,8,10} and
{1,3,6,10,15}
{6,10}
A plane flies from point A to point B on a bearing of 307o. What bearing would it return on from B to A? 127o
A number is picked at random from the set
{3,6,9,12,15}
what is the probability it is even? \(\frac25\)
Evaluate:
12 ÷ 2 × 64 ÷ 8
48
Simplify the following by collecting like terms:
\(5a−5−4a−5\)
\(a-10\)
Divide 78 in the ratio
1:5
13 and 65
Draw a rough sketch of the graph of:
\(y=-2x+2\)
Gradient -2
y intercept 2
Express the following number as the product of prime numbers:
120
2 x 2 x 2 x 3 x 5
In a sale an item costs £11 after a 45% reduction. What was the original price?
£20
Find the mean, mode, median and range of the following:
6,7,8,9,10
Mean = 8, no mode,
median = 8 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.838383... \(\frac{83}{99}\)
Decrease £140 by 20%
£112
Expand:
\(5(9x-9)\)
\(45x-45\)
Expand:
\((3x+4)(3x-4)\)
\(9x^2-16\)
Factorise:
\(8x-16\)
\(8(x-2)\)
Factorise:
\(x^2-4\)
\((x+2)(x-2)\)
Factorise:
\(5x^2+11x-12\)
\((x+3)(5x-4)\)
Which theorem?
Find the value of:
6.17 × 10-3
= 0.00617
Write in standard form:
6060000
= 6.06 × 106
Write in standard form:
0.000495
= 4.95 × 10-4
Find the nth term:
\(10, 20, 34, 52, 74, \)
\(2n^2+4n+4\)
Multiply 8 × 102
by 5 × 103 and give the answer in standard form.
= 4 × 106
Solve:
\(x^2-x-6= 0\)
\(x = 3\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2-5x-1 = 0\)
\(x = 2.69\) and \(-0.186\)
What is the size of each interior angle of a regular decagon?
144°
Make \(d\) the subject of the formula
$$e=\frac{2d-1}{3}$$
$$d=\frac{3e+1}{2}$$
Calculate the value of:
2694 ÷ 3
= 898
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
What are the next three square numbers after
81
100, 121, 144
What are the next three prime numbers after
31
37, 41, 43
Write down something you learnt in the previous mathematics lesson.
Write down something you learnt in one of the mathematics lessons last week.
Calculate \(x\).
Write down these numbers: 7.77, 0.77, 7, 7.07, 7.7, 0.7, 0.07, in ascending order.
0.07, 0.7, 0.77, 7, 7.07, 7.7, 7.77,
Write down these lengths: 107cm, 1.08m, 17cm, 1.8m, 18mm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 18cl, 17cl, 173ml, 200ml, 21cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
f = 132
h = 75
Round to one significant figure:
a) 35.09; 40
b) 834541; 800000
c) 71; 70
d) 0.00226; 0.002
Round each value to one significant figure to make an estimate:$$(171 + 5.5) \div 16$$\((200 + 6) \div 20 = 10.3\)
A pie chart shows the colours of 15 books. What sector angle represents the
8 red books?
192°
What is the equation?
\(y=4-2x\)A pie chart shows the colours of 36 hats. How many green hats are represented
by a sector
angle of 280°?
28
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