What is the 11th:
a) Odd number; 21
b) Square number; 121
c) Prime number. 31
Find all the factors of:
22
1, 2, 11, 22.
Subtract the 7th from the 12th multiples of:
9
45
What are the names of regular polygons with:
a) six sides;
b) seven sides;
c) eight sides.
Hexagon, Heptagon and Octagon (all regular)
Round to three significant figures:
a) 66.55; 66.5
b) 851554; 852000
c) 86; 86.0
d) 0.008695; 0.00870
Find the area of a triangle that has a base of 7cm and a height of 11cm.
38.5cm2
Find the area of a trapezium that has a base of 13cm, a height of 10cm and a top (parallel to base) of 5cm. 90cm2
Evaluate:
\( \frac{1}{3} + \frac{4}{7}\) \(= \frac{19}{21}\)
Evaluate:
\( \frac{1}{2} × \frac{4}{6}\) \(= \frac{1}{3}\)
Evaluate:
\( \frac{2}{4} ÷ \frac{7}{6}\) \(= \frac{3}{7}\)
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 7cm. Give your answer to three significant figures.
154cm2
Find the circumference of a circle that has a radius of 2cm. Give your answer to three significant figures.
12.6cm
Calculate the value of:
8.8 + 6.6
= 15.4
Calculate the value of:
7.4 − 1.7
= 5.7
Calculate the value of:
7.3 × 7.9
= 57.67
Calculate the value of:
88.4 ÷ 13
= 6.8
What is the value of:
42
= 16
What is the value of:
\(2^{-3}\)
\(= \frac{1}{8}\)
Calculate the value of:
78 + 74
= 152
Calculate the value of:
54 − 25
= 29
Calculate the value of:
54 × 62
= 3348
Calculate the value of:
1378 ÷ 26
= 53
Find the value of:
5% of 200
= 10
Find the value of:
4.12 × 106
= 4120000
Find the highest common factor of sixteen and six.
= 2
5 × 5 = 25 | 8 × 2 = 16 |
6 × 2 = 12 | 4 × 4 = 16 |
3 × 5 = 15 | 9 × 2 = 18 |
7 × 5 = 35 | 2 × 5 = 10 |
4 × 7 = 28 | 9 × 6 = 54 |
3 × 5 = 15 | 7 × 12 = 84 |
6 × 10 = 60 | 8 × 8 = 64 |
5 × 11 = 55 | 2 × 6 = 12 |
8 × 2 = 16 | 9 × 2 = 18 |
4 × 2 = 8 | 7 × 2 = 14 |
5 × 2 = 10 | 6 × 2 = 12 |
3 × 2 = 6 | 2 × 2 = 4 |
6 × 3 = 18 | 3 × 3 = 9 |
9 × 3 = 27 | 7 × 3 = 21 |
8 × 3 = 24 | 4 × 3 = 12 |
5 × 3 = 15 | 2 × 3 = 6 |
9 × 4 = 36 | 4 × 4 = 16 |
7 × 4 = 28 | 5 × 4 = 20 |
3 × 4 = 12 | 8 × 4 = 32 |
6 × 4 = 24 | 2 × 4 = 8 |
9 × 5 = 45 | 7 × 5 = 35 |
5 × 5 = 25 | 3 × 5 = 15 |
4 × 5 = 20 | 8 × 5 = 40 |
6 × 5 = 30 | 2 × 5 = 10 |
4 × 6 = 24 | 3 × 6 = 18 |
5 × 6 = 30 | 8 × 6 = 48 |
6 × 6 = 36 | 7 × 6 = 42 |
9 × 6 = 54 | 2 × 6 = 12 |
6 × 7 = 42 | 5 × 7 = 35 |
9 × 7 = 63 | 8 × 7 = 56 |
7 × 7 = 49 | 4 × 7 = 28 |
3 × 7 = 21 | 2 × 7 = 14 |
4 × 8 = 32 | 5 × 8 = 40 |
3 × 8 = 24 | 6 × 8 = 48 |
9 × 8 = 72 | 8 × 8 = 64 |
7 × 8 = 56 | 2 × 8 = 16 |
7 × 9 = 63 | 4 × 9 = 36 |
8 × 9 = 72 | 6 × 9 = 54 |
5 × 9 = 45 | 9 × 9 = 81 |
3 × 9 = 27 | 2 × 9 = 18 |
9 × 12 = 108 | 6 × 12 = 72 |
3 × 12 = 36 | 4 × 12 = 48 |
8 × 12 = 96 | 7 × 12 = 84 |
5 × 12 = 60 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{45}{63}\) \(= \frac{5}{7}\)
Evaluate:
\( 2\frac{2}{3} − \frac{6}{7}\) \(= 1\frac{17}{21}\)
Find AC if AB = 4.2m and BC = 5.2m. 3.07m
Find angle ABC if AB = 5.3m and BC = 7m. 40.8o
Find AB if angle ABC = 26o and BC = 3.1m. 2.79m
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.
\( \frac{1}{4}\) \(= 0.25\)
Convert this decimal to a fraction.
\(0.45\) = \( \frac{9}{20}\)
Increase £20 by 25%
£25
What is the lowest common multiple of nine and twenty four.
= 72
2,9,16,23,30...
Find the:
a) next term; 37
b) nth term; 7n - 5
c) term number 46; 317
7,28,112,448,1792...
Find the:
a) next term; 7168
b) nth term; 7 × 4n-1
c) term number 11; 7340032
If £160 is invested for 9 years with a simple interest rate of 6%, find the amount of interest earned. £86.40
If £120 is invested with an interest rate of 4% compounded annually, find the value of the investment after 4 years. £140.38
If £1 is worth $1.24, convert:
a) £100 to dollars; $124.00
b) $240 to pounds; £193.55
What are the coordinates of the midpoint of the line joining:
\((-2,-2) \text{ and } (8,10)\)
(3,4)
What is the gradient of the line joining:
\((7,5) \text{ and } (13,11)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((2,1),(5,6),(-3,4)\)
(0,9)
a) 8 − 15 = -7
b) 8 × (-7) = -56
c) (12−20)(10−18) = 64
d) 56 ÷ (-7) = -8
e) (-5)2 = 25
If p = 5, q = 21 and
r = -5 evaluate:
a) 2q − p = 37
b) pq + r = 100
c) p2 − 5q - r = -75
Solve:
\(5x = 35\)
\(x = 7\)
Solve:
\(4x +7= 43\)
\(x = 9\)
Solve:
\(6x +6= 4x + 16\)
\(x = 5\)
Solve:
\(5(2x -4)-12= -12\)
\(x = 2\)
Solve:
\(4(3x + 5)= 3(3x + 4)\)
\(x = -2.67 \text{(to 3 sf)}\)
Solve:
\(2x-2y = 6\)
\(5x-2y = 27\)
\(x = 7, y = 4\)
Solve:
\(4x-4y = 0\)
\(7x-12y = -10\)
\(x = 2, y = 2\)
Solve:
\(2x-3y = 35\)
\(3x+2y = 7\)
\(x = 7, y = -7\)
Find the union of:
{5,6,7,8,9,10} and
{3,4,5,6,7,8}
{3,4,5,6,7,8,9,10}
Find the intersection of:
{1,2,3,4,5} and
{5,6,7,8,9,10}
{5}
A plane flies from point A to point B on a bearing of 184o. What bearing would it return on from B to A? 004o
A number is picked at random from the set
{3,6,9,12,15}
what is the probability it is even? \(\frac25\)
Evaluate:
(19 − 9)2 + 6 × 3
118
Simplify the following by collecting like terms:
\(3n+7−2n+8\)
\(n+15\)
Divide 120 in the ratio
4:6
48 and 72
Draw a rough sketch of the graph of:
\(y=x-1\)
Gradient 1
y intercept -1
Express the following number as the product of prime numbers:
24
2 x 2 x 2 x 3
In a sale an item costs £60 after a 25% reduction. What was the original price?
£80
Find the mean, mode, median and range of the following:
1,3,1,10,5
Mean = 4, mode = 1,
median = 3 and range = 9
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.333333... \(\frac{1}{3}\)
Decrease £120 by 45%
£66
Expand:
\(8(7x-5)\)
\(56x-40\)
Expand:
\((3x+2)(2x-3)\)
\(6x^2-5x-6\)
Factorise:
\(12x-18\)
\(6(2x-3)\)
Factorise:
\(x^2-3x-4\)
\((x+1)(x-4)\)
Factorise:
\(4x^2-1\)
\((2x+1)(2x-1)\)
Which theorem?
Find the value of:
8.25 × 10-2
= 0.0825
Write in standard form:
980
= 9.8 × 102
Write in standard form:
0.000133
= 1.33 × 10-4
Find the nth term:
\(2, 10, 20, 32, 46, \)
\(n^2+5n-4\)
Multiply 5 × 105
by 4 × 102 and give the answer in standard form.
= 2 × 108
Solve:
\(x^2-x-30= 0\)
\(x = 6\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2-2x-3 = 0\)
\(x = 1.15\) and \(-0.651\)
What is the size of each interior angle of a regular hexagon?
120°
Make \(g\) the subject of the formula
$$e=\frac{g}{h}+d$$
$$g=h(e-d)$$
Calculate the value of:
1435 ÷ 7
= 205
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
What are the next three square numbers after
100
121, 144, 169
What are the next three prime numbers after
13
17, 19, 23
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: 9.99, 9.09, 9, 9.9, 0.99, 0.9, 0.09, in ascending order.
0.09, 0.9, 0.99, 9, 9.09, 9.9, 9.99,
Write down these lengths: 107cm, 1.8m, 18mm, 17cm, 1.08m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 200ml, 21cl, 17cl, 173ml, 18cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
g = 122
h = 75
Round to one significant figure:
a) 23.53; 20
b) 951179; 1000000
c) 22; 20
d) 0.00748; 0.007
Round each value to one significant figure to make an estimate:$$8.5 \times 31 - 154$$\(9 \times 30 - 200 = 70\)
A pie chart shows the colours of 20 books. What sector angle represents the
13 red books?
234°
What is the equation?
\(y=4-0.5x\)A pie chart shows the colours of 72 hats. How many green hats are represented
by a sector
angle of 185°?
37
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