What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13
Find all the factors of:
23
1, 23.
Subtract the 7th from the 10th multiples of:
12
36
What are the names of regular polygons with:
a) five sides;
b) six sides;
c) seven sides.
Pentagon, Hexagon and Heptagon (all regular)
Round to three significant figures:
a) 71.64; 71.6
b) 253274; 253000
c) 24; 24.0
d) 0.002495; 0.00250
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 11cm, a height of 12cm and a top (parallel to base) of 5cm. 96cm2
Evaluate:
\( \frac{1}{4} + \frac{6}{8}\) \(= 1\)
Evaluate:
\( \frac{2}{4} × \frac{5}{7}\) \(= \frac{5}{14}\)
Evaluate:
\( \frac{3}{5} ÷ \frac{9}{7}\) \(= \frac{7}{15}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage to 3 significant figures.
\( \frac{5}{7}\) \(= 71.4\)%
Find the area of a circle that has a radius of 1cm. Give your answer to three significant figures.
3.14cm2
Find the circumference of a circle that has a radius of 9cm. Give your answer to three significant figures.
56.5cm
Calculate the value of:
8.7 + 4.4
= 13.1
Calculate the value of:
8.1 − 3.6
= 4.5
Calculate the value of:
6.8 × 6.8
= 46.24
Calculate the value of:
109.5 ÷ 15
= 7.3
What is the value of:
23
= 8
What is the value of:
\(2^{1}\)
\(= 2\)
Calculate the value of:
87 + 39
= 126
Calculate the value of:
62 − 28
= 34
Calculate the value of:
54 × 36
= 1944
Calculate the value of:
1245 ÷ 15
= 83
Find the value of:
65% of 220
= 143
Find the value of:
1.82 × 106
= 1820000
Find the highest common factor of twelve and four.
= 4
4 × 5 = 20 | 3 × 4 = 12 |
5 × 2 = 10 | 8 × 5 = 40 |
7 × 4 = 28 | 9 × 4 = 36 |
6 × 2 = 12 | 2 × 2 = 4 |
3 × 4 = 12 | 7 × 8 = 56 |
8 × 10 = 80 | 4 × 9 = 36 |
6 × 12 = 72 | 9 × 4 = 36 |
5 × 8 = 40 | 2 × 8 = 16 |
3 × 2 = 6 | 7 × 2 = 14 |
8 × 2 = 16 | 4 × 2 = 8 |
9 × 2 = 18 | 5 × 2 = 10 |
6 × 2 = 12 | 2 × 2 = 4 |
7 × 3 = 21 | 4 × 3 = 12 |
8 × 3 = 24 | 3 × 3 = 9 |
6 × 3 = 18 | 5 × 3 = 15 |
9 × 3 = 27 | 2 × 3 = 6 |
5 × 4 = 20 | 6 × 4 = 24 |
7 × 4 = 28 | 4 × 4 = 16 |
3 × 4 = 12 | 8 × 4 = 32 |
9 × 4 = 36 | 2 × 4 = 8 |
9 × 5 = 45 | 3 × 5 = 15 |
6 × 5 = 30 | 8 × 5 = 40 |
7 × 5 = 35 | 5 × 5 = 25 |
4 × 5 = 20 | 2 × 5 = 10 |
5 × 6 = 30 | 3 × 6 = 18 |
6 × 6 = 36 | 7 × 6 = 42 |
4 × 6 = 24 | 8 × 6 = 48 |
9 × 6 = 54 | 2 × 6 = 12 |
4 × 7 = 28 | 8 × 7 = 56 |
9 × 7 = 63 | 5 × 7 = 35 |
6 × 7 = 42 | 7 × 7 = 49 |
3 × 7 = 21 | 2 × 7 = 14 |
8 × 8 = 64 | 4 × 8 = 32 |
7 × 8 = 56 | 5 × 8 = 40 |
6 × 8 = 48 | 3 × 8 = 24 |
9 × 8 = 72 | 2 × 8 = 16 |
7 × 9 = 63 | 3 × 9 = 27 |
9 × 9 = 81 | 8 × 9 = 72 |
5 × 9 = 45 | 6 × 9 = 54 |
4 × 9 = 36 | 2 × 9 = 18 |
6 × 12 = 72 | 4 × 12 = 48 |
3 × 12 = 36 | 7 × 12 = 84 |
5 × 12 = 60 | 8 × 12 = 96 |
9 × 12 = 108 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{12}{21}\) \(= \frac{4}{7}\)
Evaluate:
\( 3\frac{4}{5} − \frac{8}{9}\) \(= 2\frac{41}{45}\)
Find AC if AB = 5.2m and BC = 6.9m. 4.54m
Find angle ABC if AB = 3.9m and BC = 5m. 38.7o
Find AC if angle ABC = 69o and AB = 4m. 10.4m
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.
\( \frac{4}{6}\) \(= 0.667\)
Convert this decimal to a fraction.
\(0.99\) = \( \frac{99}{100}\)
Increase £120 by 35%
£162
What is the lowest common multiple of eight and sixteen.
= 16
4,11,18,25,32...
Find the:
a) next term; 39
b) nth term; 7n - 3
c) term number 54; 375
5,20,80,320,1280...
Find the:
a) next term; 5120
b) nth term; 5 × 4n-1
c) term number 12; 20971520
If £160 is invested for 6 years with a simple interest rate of 3%, find the amount of interest earned. £28.80
If £140 is invested with an interest rate of 2% compounded annually, find the value of the investment after 8 years. £164.03
If £1 is worth $1.39, convert:
a) £100 to dollars; $139.00
b) $240 to pounds; £172.66
What are the coordinates of the midpoint of the line joining:
\((0,6) \text{ and } (8,14)\)
(4,10)
What is the gradient of the line joining:
\((1,6) \text{ and } (4,9)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((3,4),(8,10),(-3,9)\)
(2,15)
a) 10 − 20 = -10
b) 10 × (-9) = -90
c) (7−18)(5−12) = 77
d) 90 ÷ (-9) = -10
e) (-6)2 = 36
If p = 6, q = 26 and
r = -9 evaluate:
a) 2q − p = 46
b) pq + r = 147
c) p2 − 5q - r = -85
Solve:
\(2x = 16\)
\(x = 8\)
Solve:
\(4x +8= 16\)
\(x = 2\)
Solve:
\(6x -3= 2x + 17\)
\(x = 5\)
Solve:
\(5(3x -5)+7= 102\)
\(x = 8\)
Solve:
\(4(2x + 5)= 2(5x + 3)\)
\(x = 7\)
Solve:
\(2x+4y = 18\)
\(5x+4y = 33\)
\(x = 5, y = 2\)
Solve:
\(2x+2y = 14\)
\(5x+4y = 32\)
\(x = 4, y = 3\)
Solve:
\(2x-3y = 22\)
\(3x+2y = -6\)
\(x = 2, y = -6\)
Find the union of:
{1,3,5,7,9} and
{2,6,12}
{1,2,3,5,6,7,9,12}
Find the intersection of:
{2,4,6,8,10} and
{5,6,7,8,9,10}
{6,8,10}
A plane flies from point A to point B on a bearing of 336o. What bearing would it return on from B to A? 156o
A number is picked at random from the set
{2,4,6,8,10}
what is the probability it is even? 1
Evaluate:
81 ÷ 9 × 48 ÷ 6
72
Simplify the following by collecting like terms:
\(3b+5c+8b+4c\)
\(11b+9c\)
Divide 42 in the ratio
4:2
28 and 14
Draw a rough sketch of the graph of:
\(y=2x-1\)
Gradient 2
y intercept -1
Express the following number as the product of prime numbers:
270
2 x 3 x 3 x 3 x 5
In a sale an item costs £98 after a 30% reduction. What was the original price?
£140
Find the mean, mode, median and range of the following:
5,6,7,8,9,10
Mean = 7.5, no mode,
median = 7.5 and range = 5
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.878787... \(\frac{29}{33}\)
Decrease £80 by 10%
£72
Expand:
\(5(7x-3)\)
\(35x-15\)
Expand:
\((4x+3)(x-2)\)
\(4x^2-5x-6\)
Factorise:
\(16x-28\)
\(4(4x-7)\)
Factorise:
\(x^2-x-6\)
\((x+2)(x-3)\)
Factorise:
\(6x^2-x-1\)
\((3x+1)(2x-1)\)
Which theorem?
Find the value of:
6.27 × 10-4
= 0.000627
Write in standard form:
8140000
= 8.14 × 106
Write in standard form:
0.00694
= 6.94 × 10-3
Find the nth term:
\(1, 16, 37, 64, 97, \)
\(3n^2+6n-8\)
Multiply 9 × 105
by 5 × 102 and give the answer in standard form.
= 4.5 × 108
Solve:
\(x^2-x-6= 0\)
\(x = 3\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2+5x-1 = 0\)
\(x = 0.186\) and \(-2.69\)
What is the size of each exterior angle of a regular octagon?
45°
Make \(b\) the subject of the formula
$$c=3b-5$$
$$b=\frac{c+5}{3}$$
Calculate the value of:
3171 ÷ 7
= 453
What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5
What is the difference between the 7th and the 8th square numbers?
15
What are the three largest prime numbers less than
29
23, 19, 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: 9.09, 0.9, 9.9, 9, 0.99, 9.99, 0.09, in ascending order.
0.09, 0.9, 0.99, 9, 9.09, 9.9, 9.99,
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: 200ml, 18cl, 21cl, 173ml, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
d = 99
e = 63
Round to one significant figure:
a) 53.81; 50
b) 402161; 400000
c) 12; 10
d) 0.00974; 0.01
Round each value to one significant figure to make an estimate:$$82 + 2.6 \times 61$$\(80 + 3 \times 60 = 260\)
A pie chart shows the colours of 9 books. What sector angle represents the
6 red books?
240°
What is the equation?
\(y=0.5x+1\)A pie chart shows the colours of 60 hats. How many green hats are represented
by a sector
angle of 30°?
5
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