What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37
Find all the factors of:
48
1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Subtract the 5th from the 8th multiples of:
6
18
What are the names of regular polygons with:
a) three sides;
b) four sides;
c) five sides.
Equilateral Triangle, Square and Pentagon (all regular)
Round to three significant figures:
a) 51.13; 51.1
b) 162820; 163000
c) 11; 11.0
d) 0.001195; 0.00120
Find the area of a triangle that has a base of 3cm and a height of 8cm.
12cm2
Find the area of a trapezium that has a base of 10cm, a height of 8cm and a top (parallel to base) of 4cm. 56cm2
Evaluate:
\( \frac{2}{5} + \frac{8}{9}\) \(= 1\frac{13}{45}\)
Evaluate:
\( \frac{3}{4} × \frac{5}{6}\) \(= \frac{5}{8}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{5}{4}\) \(= \frac{8}{15}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{4}{8}\) \(= 50\)%
Find the area of a circle that has a radius of 12cm. Give your answer to three significant figures.
452cm2
Find the circumference of a circle that has a radius of 11cm. Give your answer to three significant figures.
69.1cm
Calculate the value of:
7.8 + 7.6
= 15.4
Calculate the value of:
8.2 − 3.5
= 4.7
Calculate the value of:
4.9 × 6.2
= 30.38
Calculate the value of:
135 ÷ 18
= 7.5
What is the value of:
12
= 1
What is the value of:
\(2^{-1}\)
\(= \frac{1}{2}\)
Calculate the value of:
46 + 28
= 74
Calculate the value of:
62 − 29
= 33
Calculate the value of:
88 × 94
= 8272
Calculate the value of:
1736 ÷ 28
= 62
Find the value of:
40% of 260
= 104
Find the value of:
4.49 × 105
= 449000
Find the highest common factor of twenty one and twelve.
= 3
7 × 2 = 14 | 9 × 4 = 36 |
6 × 5 = 30 | 3 × 2 = 6 |
5 × 2 = 10 | 4 × 5 = 20 |
8 × 5 = 40 | 2 × 2 = 4 |
7 × 7 = 49 | 3 × 6 = 18 |
5 × 7 = 35 | 4 × 10 = 40 |
6 × 3 = 18 | 9 × 2 = 18 |
8 × 12 = 96 | 2 × 10 = 20 |
7 × 2 = 14 | 9 × 2 = 18 |
4 × 2 = 8 | 6 × 2 = 12 |
5 × 2 = 10 | 8 × 2 = 16 |
3 × 2 = 6 | 2 × 2 = 4 |
3 × 3 = 9 | 8 × 3 = 24 |
5 × 3 = 15 | 7 × 3 = 21 |
9 × 3 = 27 | 6 × 3 = 18 |
4 × 3 = 12 | 2 × 3 = 6 |
3 × 4 = 12 | 6 × 4 = 24 |
8 × 4 = 32 | 9 × 4 = 36 |
5 × 4 = 20 | 4 × 4 = 16 |
7 × 4 = 28 | 2 × 4 = 8 |
5 × 5 = 25 | 6 × 5 = 30 |
7 × 5 = 35 | 8 × 5 = 40 |
9 × 5 = 45 | 3 × 5 = 15 |
4 × 5 = 20 | 2 × 5 = 10 |
3 × 6 = 18 | 9 × 6 = 54 |
8 × 6 = 48 | 5 × 6 = 30 |
4 × 6 = 24 | 6 × 6 = 36 |
7 × 6 = 42 | 2 × 6 = 12 |
6 × 7 = 42 | 7 × 7 = 49 |
3 × 7 = 21 | 8 × 7 = 56 |
5 × 7 = 35 | 9 × 7 = 63 |
4 × 7 = 28 | 2 × 7 = 14 |
5 × 8 = 40 | 6 × 8 = 48 |
9 × 8 = 72 | 3 × 8 = 24 |
7 × 8 = 56 | 8 × 8 = 64 |
4 × 8 = 32 | 2 × 8 = 16 |
7 × 9 = 63 | 4 × 9 = 36 |
5 × 9 = 45 | 3 × 9 = 27 |
6 × 9 = 54 | 9 × 9 = 81 |
8 × 9 = 72 | 2 × 9 = 18 |
9 × 12 = 108 | 3 × 12 = 36 |
8 × 12 = 96 | 6 × 12 = 72 |
4 × 12 = 48 | 5 × 12 = 60 |
7 × 12 = 84 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{36}{63}\) \(= \frac{4}{7}\)
Evaluate:
\( 1\frac{3}{4} − \frac{6}{7}\) \(= \frac{25}{28}\)
Find BC if AB = 5.8m and AC = 7m. 9.09m
Find angle ABC if AB = 5.7m and BC = 7m. 35.5o
Find AB if angle ABC = 48o and BC = 3m. 2.01m
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.
\(0.47\) = \( \frac{47}{100}\)
Increase £180 by 15%
£207
What is the lowest common multiple of ten and thirty five.
= 70
7,20,33,46,59...
Find the:
a) next term; 72
b) nth term; 13n - 6
c) term number 43; 553
6,18,54,162,486...
Find the:
a) next term; 1458
b) nth term; 6 × 3n-1
c) term number 11; 354294
If £100 is invested for 9 years with a simple interest rate of 6%, find the amount of interest earned. £54.00
If £200 is invested with an interest rate of 4% compounded annually, find the value of the investment after 8 years. £273.71
If £1 is worth $1.33, convert:
a) £140 to dollars; $186.20
b) $160 to pounds; £120.30
What are the coordinates of the midpoint of the line joining:
\((0,0) \text{ and } (10,8)\)
(5,4)
What is the gradient of the line joining:
\((-4,8) \text{ and } (2,13)\)
\(\frac{5}{6}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((3,2),(7,5),(0,6)\)
(4,9)
a) 8 − 13 = -5
b) 8 × (-5) = -40
c) (11−19)(5−14) = 72
d) 40 ÷ (-5) = -8
e) (-5)2 = 25
If p = 6, q = 19 and
r = -10 evaluate:
a) 2q − p = 32
b) pq + r = 104
c) p2 − 5q - r = -49
Solve:
\(4x = 28\)
\(x = 7\)
Solve:
\(2x -6= -2\)
\(x = 2\)
Solve:
\(8x +4= 3x + 44\)
\(x = 8\)
Solve:
\(3(3x -2)+11= 50\)
\(x = 5\)
Solve:
\(5(5x + 3)= 4(5x + 2)\)
\(x = -1.4\)
Solve:
\(5x+5y = 65\)
\(4x+5y = 58\)
\(x = 7, y = 6\)
Solve:
\(3x-4y = -9\)
\(6x-12y = -42\)
\(x = 5, y = 6\)
Solve:
\(2x+5y = -23\)
\(3x+2y = -1.5\)
\(x = 3.5, y = -6\)
Find the union of:
{1,3,5,7,9} and
{5,6,7,8,9,10}
{1,3,5,6,7,8,9,10}
Find the intersection of:
{6,7,8,9,10} and
{5,6,7,8,9,10}
{6,7,8,9,10}
A plane flies from point A to point B on a bearing of 292o. What bearing would it return on from B to A? 112o
A number is picked at random from the set
{3,4,5,6,7,8}
what is the probability it is even? \(\frac12\)
Evaluate:
12 ÷ 4 × 40 ÷ 5
24
Simplify the following by collecting like terms:
\(b+4c-7b+4c\)
\(8c-6b\)
Divide 126 in the ratio
6:3
84 and 42
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:
36
2 x 2 x 3 x 3
In a sale an item costs £52 after a 35% reduction. What was the original price?
£80
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.
0.343434... \(\frac{34}{99}\)
Decrease £160 by 30%
£112
Expand:
\(8(3x-2)\)
\(24x-16\)
Expand:
\((4x+2)(x-3)\)
\(4x^2-10x-6\)
Factorise:
\(63x-72\)
\(9(7x-8)\)
Factorise:
\(x^2-2x-3\)
\((x+1)(x-3)\)
Factorise:
\(2x^2+5x-3\)
\((x+3)(2x-1)\)
Which theorem?
Find the value of:
5.3 × 10-2
= 0.053
Write in standard form:
79500
= 7.95 × 104
Write in standard form:
0.000279
= 2.79 × 10-4
Find the nth term:
\(7, 13, 21, 31, 43, \)
\(n^2+3n+3\)
Multiply 9 × 106
by 4 × 106 and give the answer in standard form.
= 3.6 × 1013
Solve:
\(x^2-2x-15= 0\)
\(x = 5\) and \(-3\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2+5x-3 = 0\)
\(x = 0.422\) and \(-1.42\)
What is the size of each interior angle of a regular decagon?
144°
Make \(g\) the subject of the formula
$$e=\frac{g}{h}+d$$
$$g=h(e-d)$$
Calculate the value of:
8406 ÷ 9
= 934
What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89
What is the square of
10
100
What is the difference between the 7th and the 8th prime numbers?
19 - 17 = 2
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: 4.04, 0.4, 4.44, 4, 0.44, 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, 1.8m, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 173ml, 21cl, 200ml, 18cl, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
h = 75
h = 75
Round to one significant figure:
a) 67.36; 70
b) 745579; 700000
c) 86; 90
d) 0.00439; 0.004
Round each value to one significant figure to make an estimate:$$(191 + 7.8) \div 19$$\((200 + 8) \div 20 = 10.4\)
A pie chart shows the colours of 12 books. What sector angle represents the
10 red books?
300°
What is the equation?
\(y=8-2x\)A pie chart shows the colours of 180 hats. How many green hats are represented
by a sector
angle of 236°?
118
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