What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37
Find all the factors of:
25
1, 5, 25.
Subtract the 6th from the 11th multiples of:
9
45
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) 30.75; 30.8
b) 494281; 494000
c) 31; 31.0
d) 0.003195; 0.00320
Find the area of a triangle that has a base of 4cm and a height of 9cm.
18cm2
Find the area of a trapezium that has a base of 14cm, a height of 5cm and a top (parallel to base) of 4cm. 45cm2
Evaluate:
\( \frac{1}{2} + \frac{4}{7}\) \(= 1\frac{1}{14}\)
Evaluate:
\( \frac{3}{4} × \frac{6}{8}\) \(= \frac{9}{16}\)
Evaluate:
\( \frac{1}{3} ÷ \frac{6}{4}\) \(= \frac{2}{9}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{3}{6}\) \(= 50\)%
Find the area of a circle that has a radius of 6cm. Give your answer to three significant figures.
113cm2
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:
9.7 + 7.8
= 17.5
Calculate the value of:
6.4 − 4.5
= 1.9
Calculate the value of:
3.2 × 3.7
= 11.84
Calculate the value of:
71.5 ÷ 13
= 5.5
What is the value of:
53
= 125
What is the value of:
\(4^{-2}\)
\(= \frac{1}{16}\)
Calculate the value of:
98 + 96
= 194
Calculate the value of:
62 − 28
= 34
Calculate the value of:
55 × 45
= 2475
Calculate the value of:
1020 ÷ 15
= 68
Find the value of:
80% of 340
= 272
Find the value of:
8.84 × 104
= 88400
Find the highest common factor of thirty and twenty.
= 10
8 × 3 = 24 | 9 × 3 = 27 |
3 × 4 = 12 | 4 × 4 = 16 |
6 × 2 = 12 | 7 × 5 = 35 |
5 × 5 = 25 | 2 × 2 = 4 |
8 × 5 = 40 | 9 × 6 = 54 |
5 × 12 = 60 | 7 × 8 = 56 |
3 × 2 = 6 | 4 × 3 = 12 |
6 × 9 = 54 | 2 × 5 = 10 |
8 × 2 = 16 | 7 × 2 = 14 |
9 × 2 = 18 | 5 × 2 = 10 |
4 × 2 = 8 | 3 × 2 = 6 |
6 × 2 = 12 | 2 × 2 = 4 |
4 × 3 = 12 | 7 × 3 = 21 |
5 × 3 = 15 | 9 × 3 = 27 |
8 × 3 = 24 | 6 × 3 = 18 |
3 × 3 = 9 | 2 × 3 = 6 |
9 × 4 = 36 | 3 × 4 = 12 |
5 × 4 = 20 | 8 × 4 = 32 |
7 × 4 = 28 | 4 × 4 = 16 |
6 × 4 = 24 | 2 × 4 = 8 |
8 × 5 = 40 | 7 × 5 = 35 |
3 × 5 = 15 | 4 × 5 = 20 |
9 × 5 = 45 | 6 × 5 = 30 |
5 × 5 = 25 | 2 × 5 = 10 |
7 × 6 = 42 | 6 × 6 = 36 |
3 × 6 = 18 | 5 × 6 = 30 |
4 × 6 = 24 | 9 × 6 = 54 |
8 × 6 = 48 | 2 × 6 = 12 |
3 × 7 = 21 | 6 × 7 = 42 |
5 × 7 = 35 | 4 × 7 = 28 |
7 × 7 = 49 | 8 × 7 = 56 |
9 × 7 = 63 | 2 × 7 = 14 |
7 × 8 = 56 | 5 × 8 = 40 |
6 × 8 = 48 | 8 × 8 = 64 |
9 × 8 = 72 | 3 × 8 = 24 |
4 × 8 = 32 | 2 × 8 = 16 |
5 × 9 = 45 | 3 × 9 = 27 |
7 × 9 = 63 | 6 × 9 = 54 |
9 × 9 = 81 | 8 × 9 = 72 |
4 × 9 = 36 | 2 × 9 = 18 |
7 × 12 = 84 | 6 × 12 = 72 |
4 × 12 = 48 | 5 × 12 = 60 |
8 × 12 = 96 | 3 × 12 = 36 |
9 × 12 = 108 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{4}{16}\) \(= \frac{1}{4}\)
Evaluate:
\( 1\frac{3}{4} − \frac{6}{7}\) \(= \frac{25}{28}\)
Find AB if AC = 5.7m and BC = 7.5m. 4.87m
Find angle ABC if AB = 5.5m and BC = 7m. 38.2o
Find BC if angle BCA = 38o and AC = 3.6m. 4.57m
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.
\( \frac{5}{9}\) \(= 0.556\)
Convert this decimal to a fraction.
\(0.25\) = \( \frac{1}{4}\)
Increase £120 by 10%
£132
What is the lowest common multiple of twenty and thirty.
= 60
6,18,30,42,54...
Find the:
a) next term; 66
b) nth term; 12n - 6
c) term number 39; 462
5,10,20,40,80...
Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 12; 10240
If £180 is invested for 5 years with a simple interest rate of 5%, find the amount of interest earned. £45.00
If £160 is invested with an interest rate of 1% compounded annually, find the value of the investment after 9 years. £174.99
If £1 is worth $1.24, convert:
a) £160 to dollars; $198.40
b) $240 to pounds; £193.55
What are the coordinates of the midpoint of the line joining:
\((6,7) \text{ and } (12,15)\)
(9,11)
What is the gradient of the line joining:
\((1,-7) \text{ and } (4,-4)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,2),(7,7),(-1,5)\)
(2,10)
a) 5 − 12 = -7
b) 5 × (-7) = -35
c) (11−17)(7−15) = 48
d) 35 ÷ (-7) = -5
e) (-11)2 = 121
If p = 6, q = 17 and
r = -10 evaluate:
a) 2q − p = 28
b) pq + r = 92
c) p2 − 5q - r = -39
Solve:
\(4x = 16\)
\(x = 4\)
Solve:
\(3x +2= 20\)
\(x = 6\)
Solve:
\(4x -3= 2x + 3\)
\(x = 3\)
Solve:
\(2(2x +4)+11= 43\)
\(x = 6\)
Solve:
\(4(3x + 5)= 3(5x + 5)\)
\(x = 1.67 \text{(to 3 sf)}\)
Solve:
\(4x-2y = -4\)
\(5x-2y = -2\)
\(x = 2, y = 6\)
Solve:
\(2x+5y = 38\)
\(5x-20y = -100\)
\(x = 4, y = 6\)
Solve:
\(2x-5y = 21\)
\(3x+2y = -16\)
\(x = -2, y = -5\)
Find the union of:
{2,4,6,8,10} and
{5,6,7,8,9,10}
{2,4,5,6,7,8,9,10}
Find the intersection of:
{5,6,7,8,9,10} and
{1,3,6,10,15}
{6,10}
A plane flies from point A to point B on a bearing of 191o. What bearing would it return on from B to A? 011o
A number is picked at random from the set
{2,3,5,7,11,13}
what is the probability it is even? \(\frac16\)
Evaluate:
7 + (8 × 82 − 5)
514
Simplify the following by collecting like terms:
\(5a−5−4a−5\)
\(a-10\)
Divide 78 in the ratio
6:7
36 and 42
Draw a rough sketch of the graph of:
\(y=x\)
Gradient 1
y intercept 0
Express the following number as the product of prime numbers:
1080
2 x 2 x 2 x 3 x 3 x 3 x 5
In a sale an item costs £104 after a 35% reduction. What was the original price?
£160
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.
0.121212... \(\frac{4}{33}\)
Decrease £160 by 25%
£120
Expand:
\(6(4x-3)\)
\(24x-18\)
Expand:
\((4x+4)(3x-4)\)
\(12x^2-4x-16\)
Factorise:
\(18x-12\)
\(6(3x-2)\)
Factorise:
\(x^2-4\)
\((x+2)(x-2)\)
Factorise:
\(15x^2+4x-4\)
\((3x+2)(5x-2)\)
Which theorem?
Find the value of:
7.75 × 10-2
= 0.0775
Write in standard form:
729
= 7.29 × 102
Write in standard form:
0.0000517
= 5.17 × 10-5
Find the nth term:
\(3, 17, 37, 63, 95, \)
\(3n^2+5n-5\)
Multiply 8 × 105
by 4 × 102 and give the answer in standard form.
= 3.2 × 108
Solve:
\(x^2+2x-15= 0\)
\(x = 3\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2-3x-2 = 0\)
\(x = 1.18\) and \(-0.425\)
What is the size of each interior angle of a regular octagon?
135°
Make \(j\) the subject of the formula
$$b=\frac{3(j-4)}{c}$$
$$j=\frac{bc}{3}+4$$
Calculate the value of:
3724 ÷ 7
= 532
What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8
What is the square of
5
25
What is the 10th prime number?
29
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: 8.08, 0.8, 8.88, 8, 8.8, 0.88, 0.08, in ascending order.
0.08, 0.8, 0.88, 8, 8.08, 8.8, 8.88,
Write down these lengths: 17cm, 1.08m, 107cm, 18mm, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 17cl, 200ml, 21cl, 173ml, 18cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
e = 69
j = 58
Round to one significant figure:
a) 77.54; 80
b) 895230; 900000
c) 65; 60
d) 0.00440; 0.004
Round each value to one significant figure to make an estimate:$$(173 + 5.6) \div 15$$\((200 + 6) \div 20 = 10.3\)
A pie chart shows the colours of 10 books. What sector angle represents the
7 red books?
252°
What is the equation?
\(y=0.5x+1\)A pie chart shows the colours of 20 hats. How many green hats are represented
by a sector
angle of 216°?
12
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