What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29
Find all the factors of:
26
1, 2, 13, 26.
Subtract the 4th from the 8th multiples of:
5
20
What are the names of regular polygons with:
a) seven sides;
b) eight sides;
c) nine sides.
Heptagon, Octagon and Nonagon (all regular)
Round to three significant figures:
a) 97.62; 97.6
b) 535365; 535000
c) 70; 70.0
d) 0.007095; 0.00710
Find the area of a triangle that has a base of 4cm and a height of 7cm.
14cm2
Find the area of a trapezium that has a base of 16cm, a height of 12cm and a top (parallel to base) of 6cm. 132cm2
Evaluate:
\( \frac{1}{3} + \frac{4}{7}\) \(= \frac{19}{21}\)
Evaluate:
\( \frac{3}{5} × \frac{7}{8}\) \(= \frac{21}{40}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{5}{3}\) \(= \frac{3}{10}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{2}{5}\) \(= 40\)%
Find the area of a circle that has a radius of 11cm. Give your answer to three significant figures.
380cm2
Find the circumference of a circle that has a radius of 10cm. Give your answer to three significant figures.
62.8cm
Calculate the value of:
6.7 + 5.8
= 12.5
Calculate the value of:
7.1 − 2.5
= 4.6
Calculate the value of:
5.5 × 7.9
= 43.45
Calculate the value of:
61.2 ÷ 17
= 3.6
What is the value of:
12
= 1
What is the value of:
\(25^{\frac{1}{2}}\)
\(= 5\)
Calculate the value of:
47 + 87
= 134
Calculate the value of:
92 − 26
= 66
Calculate the value of:
53 × 76
= 4028
Calculate the value of:
2231 ÷ 23
= 97
Find the value of:
10% of 80
= 8
Find the value of:
2.62 × 102
= 262
Find the highest common factor of eighteen and four.
= 2
9 × 3 = 27 | 7 × 4 = 28 |
8 × 4 = 32 | 5 × 3 = 15 |
6 × 4 = 24 | 4 × 2 = 8 |
3 × 2 = 6 | 2 × 5 = 10 |
4 × 10 = 40 | 3 × 5 = 15 |
5 × 6 = 30 | 7 × 6 = 42 |
8 × 4 = 32 | 6 × 12 = 72 |
9 × 8 = 72 | 2 × 11 = 22 |
3 × 2 = 6 | 6 × 2 = 12 |
7 × 2 = 14 | 9 × 2 = 18 |
5 × 2 = 10 | 4 × 2 = 8 |
8 × 2 = 16 | 2 × 2 = 4 |
7 × 3 = 21 | 5 × 3 = 15 |
8 × 3 = 24 | 3 × 3 = 9 |
6 × 3 = 18 | 9 × 3 = 27 |
4 × 3 = 12 | 2 × 3 = 6 |
7 × 4 = 28 | 8 × 4 = 32 |
6 × 4 = 24 | 9 × 4 = 36 |
3 × 4 = 12 | 4 × 4 = 16 |
5 × 4 = 20 | 2 × 4 = 8 |
9 × 5 = 45 | 5 × 5 = 25 |
3 × 5 = 15 | 7 × 5 = 35 |
6 × 5 = 30 | 8 × 5 = 40 |
4 × 5 = 20 | 2 × 5 = 10 |
4 × 6 = 24 | 6 × 6 = 36 |
5 × 6 = 30 | 8 × 6 = 48 |
3 × 6 = 18 | 9 × 6 = 54 |
7 × 6 = 42 | 2 × 6 = 12 |
5 × 7 = 35 | 6 × 7 = 42 |
3 × 7 = 21 | 4 × 7 = 28 |
9 × 7 = 63 | 8 × 7 = 56 |
7 × 7 = 49 | 2 × 7 = 14 |
7 × 8 = 56 | 8 × 8 = 64 |
5 × 8 = 40 | 6 × 8 = 48 |
4 × 8 = 32 | 9 × 8 = 72 |
3 × 8 = 24 | 2 × 8 = 16 |
5 × 9 = 45 | 8 × 9 = 72 |
4 × 9 = 36 | 9 × 9 = 81 |
6 × 9 = 54 | 7 × 9 = 63 |
3 × 9 = 27 | 2 × 9 = 18 |
7 × 12 = 84 | 8 × 12 = 96 |
5 × 12 = 60 | 9 × 12 = 108 |
6 × 12 = 72 | 3 × 12 = 36 |
4 × 12 = 48 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{21}{35}\) \(= \frac{3}{5}\)
Evaluate:
\( 3\frac{4}{5} − \frac{6}{7}\) \(= 2\frac{33}{35}\)
Find BC if AB = 4.6m and AC = 5.9m. 7.48m
Find angle BCA if AC = 3.6m and BC = 4.6m. 38.5o
Find AC if angle ABC = 47o and BC = 4.5m. 3.29m
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.
\( \frac{4}{8}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.46\) = \( \frac{23}{50}\)
Increase £120 by 10%
£132
What is the lowest common multiple of twelve and fifteen.
= 60
4,12,20,28,36...
Find the:
a) next term; 44
b) nth term; 8n - 4
c) term number 53; 420
6,24,96,384,1536...
Find the:
a) next term; 6144
b) nth term; 6 × 4n-1
c) term number 9; 393216
If £180 is invested for 8 years with a simple interest rate of 2%, find the amount of interest earned. £28.80
If £140 is invested with an interest rate of 5% compounded annually, find the value of the investment after 4 years. £170.17
If £1 is worth $1.36, convert:
a) £200 to dollars; $272.00
b) $200 to pounds; £147.06
What are the coordinates of the midpoint of the line joining:
\((1,3) \text{ and } (11,15)\)
(6,9)
What is the gradient of the line joining:
\((-6,-1) \text{ and } (-2,5)\)
\(\frac{3}{2}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((3,2),(8,8),(-3,7)\)
(2,13)
a) 6 − 16 = -10
b) 6 × (-11) = -66
c) (6−14)(8−14) = 48
d) 66 ÷ (-11) = -6
e) (-10)2 = 100
If p = 6, q = 22 and
r = -6 evaluate:
a) 2q − p = 38
b) pq + r = 126
c) p2 − 5q - r = -68
Solve:
\(3x = 6\)
\(x = 2\)
Solve:
\(3x -3= 24\)
\(x = 9\)
Solve:
\(5x +6= 2x + 24\)
\(x = 6\)
Solve:
\(3(4x +5)-6= 81\)
\(x = 6\)
Solve:
\(4(3x + 5)= 2(3x + 3)\)
\(x = -2.33 \text{(to 3 sf)}\)
Solve:
\(5x-4y = -4\)
\(2x-4y = -16\)
\(x = 4, y = 6\)
Solve:
\(2x-5y = -4\)
\(6x-20y = -22\)
\(x = 3, y = 2\)
Solve:
\(2x+2y = 0\)
\(3x+5y = 4\)
\(x = -2, y = 2\)
Find the union of:
{6,7,8,9,10} and
{2,6,12}
{2,6,7,8,9,10,12}
Find the intersection of:
{6,7,8,9,10} and
{3,6,9,12,15}
{6,9}
A plane flies from point A to point B on a bearing of 064o. What bearing would it return on from B to A? 244o
A number is picked at random from the set
{1,3,6,10,15}
what is the probability it is even? \(\frac25\)
Evaluate:
20 ÷ 5 × 32 ÷ 4
32
Simplify the following by collecting like terms:
\(5a−5−4a−5\)
\(a-10\)
Divide 72 in the ratio
8:1
64 and 8
Draw a rough sketch of the graph of:
\(2y=x+2\)
Gradient 0.5
y intercept 1
Express the following number as the product of prime numbers:
60
2 x 2 x 3 x 5
In a sale an item costs £15 after a 25% reduction. What was the original price?
£20
Find the mean, mode, median and range of the following:
2,4,6,8,10
Mean = 6, no mode,
median = 6 and range = 8
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.616161... \(\frac{61}{99}\)
Decrease £20 by 20%
£16
Expand:
\(3(5x-8)\)
\(15x-24\)
Expand:
\((x+2)(x-1)\)
\(x^2+x-2\)
Factorise:
\(35x-56\)
\(7(5x-8)\)
Factorise:
\(x^2+3x-4\)
\((x+4)(x-1)\)
Factorise:
\(x^2+x-12\)
\((x+4)(x-3)\)
Which theorem?
Find the value of:
1.22 × 10-2
= 0.0122
Write in standard form:
427000
= 4.27 × 105
Write in standard form:
0.00094
= 9.4 × 10-4
Find the nth term:
\(12, 24, 42, 66, 96, \)
\(3n^2+3n+6\)
Multiply 6 × 102
by 7 × 103 and give the answer in standard form.
= 4.2 × 106
Solve:
\(x^2-x-20= 0\)
\(x = 5\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2+4x-3 = 0\)
\(x = 0.472\) and \(-1.27\)
What is the size of each interior angle of a regular decagon?
144°
Make \(c\) the subject of the formula
$$d=\frac{3c+1}{2}$$
$$c=\frac{2d-1}{3}$$
Calculate the value of:
1365 ÷ 5
= 273
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
What is the square of
4
16
What is the 7th prime number?
17
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: 0.4, 0.44, 4.04, 4, 4.44, 4.4, 0.04, in ascending order.
0.04, 0.4, 0.44, 4, 4.04, 4.4, 4.44,
Write down these lengths: 107cm, 18mm, 1.08m, 17cm, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 173ml, 200ml, 18cl, 17cl, 21cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
b = 52
c = 78
Round to one significant figure:
a) 24.77; 20
b) 595515; 600000
c) 24; 20
d) 0.00245; 0.002
Round each value to one significant figure to make an estimate:$$34 + 6.8 \times 62$$\(30 + 7 \times 60 = 450\)
A pie chart shows the colours of 18 books. What sector angle represents the
13 red books?
260°
What is the equation?
\(y=2x-2\)A pie chart shows the colours of 45 hats. How many green hats are represented
by a sector
angle of 80°?
10
Simplify:
$$\sqrt{32}$$
\(4\sqrt{2}\)
Simplify:
$$\dfrac{9}{\sqrt{6}}$$\(\frac{9\sqrt{6}}{6} = \frac{3\sqrt{6}}{2}\)
Simplify:
$$\dfrac{7}{4 + \sqrt{3}}$$\(\frac{28 - 7\sqrt{3}}{13}\)
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