What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37
Find all the factors of:
28
1, 2, 4, 7, 14, 28.
Subtract the 7th from the 11th multiples of:
5
20
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) 57.22; 57.2
b) 129169; 129000
c) 20; 20.0
d) 0.002095; 0.00210
Find the area of a triangle that has a base of 7cm and a height of 10cm.
35cm2
Find the area of a trapezium that has a base of 13cm, a height of 10cm and a top (parallel to base) of 7cm. 100cm2
Evaluate:
\( \frac{3}{6} + \frac{8}{9}\) \(= 1\frac{7}{18}\)
Evaluate:
\( \frac{3}{5} × \frac{7}{8}\) \(= \frac{21}{40}\)
Evaluate:
\( \frac{2}{4} ÷ \frac{6}{5}\) \(= \frac{5}{12}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{5}{10}\) \(= 50\)%
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 6cm. Give your answer to three significant figures.
37.7cm
Calculate the value of:
3.8 + 6.6
= 10.4
Calculate the value of:
5.1 − 2.9
= 2.2
Calculate the value of:
7.4 × 3.2
= 23.68
Calculate the value of:
73.6 ÷ 16
= 4.6
What is the value of:
13
= 1
What is the value of:
\(5^{-2}\)
\(= \frac{1}{25}\)
Calculate the value of:
25 + 58
= 83
Calculate the value of:
54 − 29
= 25
Calculate the value of:
62 × 54
= 3348
Calculate the value of:
1386 ÷ 18
= 77
Find the value of:
90% of 60
= 54
Find the value of:
7.03 × 105
= 703000
Find the highest common factor of fourteen and eight.
= 2
8 × 2 = 16 | 5 × 5 = 25 |
6 × 2 = 12 | 4 × 5 = 20 |
7 × 5 = 35 | 3 × 3 = 9 |
9 × 3 = 27 | 2 × 3 = 6 |
6 × 9 = 54 | 4 × 5 = 20 |
5 × 11 = 55 | 7 × 5 = 35 |
3 × 5 = 15 | 9 × 5 = 45 |
8 × 2 = 16 | 2 × 11 = 22 |
3 × 2 = 6 | 6 × 2 = 12 |
5 × 2 = 10 | 7 × 2 = 14 |
4 × 2 = 8 | 8 × 2 = 16 |
9 × 2 = 18 | 2 × 2 = 4 |
9 × 3 = 27 | 5 × 3 = 15 |
3 × 3 = 9 | 8 × 3 = 24 |
4 × 3 = 12 | 7 × 3 = 21 |
6 × 3 = 18 | 2 × 3 = 6 |
6 × 4 = 24 | 8 × 4 = 32 |
3 × 4 = 12 | 7 × 4 = 28 |
4 × 4 = 16 | 9 × 4 = 36 |
5 × 4 = 20 | 2 × 4 = 8 |
8 × 5 = 40 | 7 × 5 = 35 |
9 × 5 = 45 | 4 × 5 = 20 |
5 × 5 = 25 | 3 × 5 = 15 |
6 × 5 = 30 | 2 × 5 = 10 |
5 × 6 = 30 | 3 × 6 = 18 |
7 × 6 = 42 | 6 × 6 = 36 |
4 × 6 = 24 | 8 × 6 = 48 |
9 × 6 = 54 | 2 × 6 = 12 |
3 × 7 = 21 | 4 × 7 = 28 |
6 × 7 = 42 | 9 × 7 = 63 |
8 × 7 = 56 | 7 × 7 = 49 |
5 × 7 = 35 | 2 × 7 = 14 |
4 × 8 = 32 | 8 × 8 = 64 |
3 × 8 = 24 | 9 × 8 = 72 |
7 × 8 = 56 | 6 × 8 = 48 |
5 × 8 = 40 | 2 × 8 = 16 |
4 × 9 = 36 | 9 × 9 = 81 |
7 × 9 = 63 | 8 × 9 = 72 |
3 × 9 = 27 | 6 × 9 = 54 |
5 × 9 = 45 | 2 × 9 = 18 |
9 × 12 = 108 | 7 × 12 = 84 |
6 × 12 = 72 | 5 × 12 = 60 |
3 × 12 = 36 | 8 × 12 = 96 |
4 × 12 = 48 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{16}{28}\) \(= \frac{4}{7}\)
Evaluate:
\( 2\frac{2}{3} − \frac{5}{6}\) \(= 1\frac{5}{6}\)
Find AC if AB = 5.6m and BC = 6.8m. 3.86m
Find angle ABC if AC = 3.6m and BC = 5.6m. 40.0o
Find AC if angle ABC = 23o and BC = 3.8m. 1.48m
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 to 3 significant figures.
\( \frac{2}{3}\) \(= 0.667\)
Convert this decimal to a fraction.
\(0.34\) = \( \frac{17}{50}\)
Increase £140 by 40%
£196
What is the lowest common multiple of six and twelve.
= 12
2,8,14,20,26...
Find the:
a) next term; 32
b) nth term; 6n - 4
c) term number 41; 242
4,12,36,108,324...
Find the:
a) next term; 972
b) nth term; 4 × 3n-1
c) term number 10; 78732
If £160 is invested for 8 years with a simple interest rate of 2%, find the amount of interest earned. £25.60
If £120 is invested with an interest rate of 6% compounded annually, find the value of the investment after 4 years. £151.50
If £1 is worth $1.31, convert:
a) £100 to dollars; $131.00
b) $180 to pounds; £137.40
What are the coordinates of the midpoint of the line joining:
\((-4,-3) \text{ and } (2,7)\)
(-1,2)
What is the gradient of the line joining:
\((3,9) \text{ and } (7,12)\)
\(\frac{3}{4}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((2,5),(6,9),(-2,9)\)
(2,13)
a) 5 − 17 = -12
b) 5 × (-9) = -45
c) (6−15)(5−16) = 99
d) 45 ÷ (-9) = -5
e) (-6)2 = 36
If p = 6, q = 23 and
r = -10 evaluate:
a) 2q − p = 40
b) pq + r = 128
c) p2 − 5q - r = -69
Solve:
\(2x = 6\)
\(x = 3\)
Solve:
\(5x -5= 30\)
\(x = 7\)
Solve:
\(8x +4= 6x + 14\)
\(x = 5\)
Solve:
\(4(4x +4)-6= 106\)
\(x = 6\)
Solve:
\(4(3x + 2)= 3(5x + 2)\)
\(x = 0.667 \text{(to 3 sf)}\)
Solve:
\(3x+5y = 40\)
\(5x+5y = 50\)
\(x = 5, y = 5\)
Solve:
\(3x+3y = 12\)
\(5x-9y = -8\)
\(x = 2, y = 2\)
Solve:
\(2x-2y = 9\)
\(3x+5y = -10.5\)
\(x = 1.5, y = -3\)
Find the union of:
{2,4,6,8,10} and
{1,3,6,10,15}
{1,2,3,4,6,8,10,15}
Find the intersection of:
{5,6,7,8,9,10} and
{2,6,12}
{6}
A plane flies from point A to point B on a bearing of 104o. What bearing would it return on from B to A? 284o
A number is picked at random from the set
{1,2,3,4,5}
what is the probability it is even? \(\frac25\)
Evaluate:
(16 − 4)2 + 4 × 6
168
Simplify the following by collecting like terms:
\(b+4c-7b+4c\)
\(8c-6b\)
Divide 120 in the ratio
7:1
105 and 15
Draw a rough sketch of the graph of:
\(y=2x\)
Gradient 2
y intercept 0
Express the following number as the product of prime numbers:
54
2 x 3 x 3 x 3
In a sale an item costs £84 after a 30% reduction. What was the original price?
£120
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.
0.919191... \(\frac{91}{99}\)
Decrease £120 by 45%
£66
Expand:
\(7(6x-8)\)
\(42x-56\)
Expand:
\((2x+3)(2x-2)\)
\(4x^2+2x-6\)
Factorise:
\(9x-9\)
\(9(x-1)\)
Factorise:
\(x^2+x-12\)
\((x+4)(x-3)\)
Factorise:
\(9x^2+9x-4\)
\((3x+4)(3x-1)\)
Which theorem?
Find the value of:
6.94 × 10-5
= 0.0000694
Write in standard form:
80200
= 8.02 × 104
Write in standard form:
0.0426
= 4.26 × 10-2
Find the nth term:
\(0, 8, 20, 36, 56, \)
\(2n^2+2n-4\)
Multiply 7 × 106
by 5 × 103 and give the answer in standard form.
= 3.5 × 1010
Solve:
\(x^2-x-6= 0\)
\(x = 3\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2-2x-1 = 0\)
\(x = 1.37\) and \(-0.366\)
What is the size of each interior angle of a regular nonagon?
140°
Make \(a\) the subject of the formula
$$b=2a-3$$
$$a=\frac{b+3}{2}$$
Calculate the value of:
4669 ÷ 7
= 667
What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8
What is the square root of
9
3
What is the difference between the 9th and the 10th prime numbers?
29 - 23 = 6
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: 0.9, 0.99, 9, 9.9, 9.09, 9.99, 0.09, in ascending order.
0.09, 0.9, 0.99, 9, 9.09, 9.9, 9.99,
Write down these lengths: 1.8m, 17cm, 18mm, 1.08m, 107cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 173ml, 17cl, 18cl, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
h = 75
j = 58
Round to one significant figure:
a) 44.31; 40
b) 363010; 400000
c) 98; 100
d) 0.00154; 0.002
Round each value to one significant figure to make an estimate:$$(153 + 4.9) \div 18$$\((200 + 5) \div 20 = 10.25\)
A pie chart shows the colours of 20 books. What sector angle represents the
7 red books?
126°
What is the equation?
\(y=x\)A pie chart shows the colours of 45 hats. How many green hats are represented
by a sector
angle of 264°?
33
Simplify:
$$\sqrt{48}$$
\(4\sqrt{3}\)
Simplify:
$$\dfrac{4}{5\sqrt{3}}$$\(\frac{4\sqrt{3}}{15}\)
Simplify:
$$\dfrac{2}{5 - \sqrt{7}}$$\(\frac{10 + 2\sqrt{7}}{18}\)
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