What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29
Find all the factors of:
28
1, 2, 4, 7, 14, 28.
Subtract the 7th from the 12th multiples of:
3
15
What are the names of regular polygons with:
a) six sides;
b) seven sides;
c) eight sides.
Hexagon, Heptagon and Octagon (all regular)
Round the following numbers to three significant figures:
a) 32.58; 32.6
b) 678920; 679000
c) 0.006095; 0.00610
Find the area of a triangle that has a base of 5cm and a height of 8cm.
20cm^{2}
Find the area of a trapezium that has a base of 11cm, a height of 12cm and a top (parallel to base) of 3cm. 84cm^{2}
Evaluate:
\( \frac{3}{4} + \frac{7}{10}\) \(= 1\frac{9}{20}\)
Evaluate:
\( \frac{3}{4} × \frac{5}{6}\) \(= \frac{5}{8}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{6}{4}\) \(= \frac{1}{3}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{1}{2}\) \(= 50\)%
Find the area of a circle that has a radius of 7cm. Give your answer to three significant figures.
154cm^{2}
Find the circumference of a circle that has a radius of 11cm. Give your answer to three significant figures.
69.1cm^{2}
Calculate the value of:
8.7 + 7.4
= 16.1
Calculate the value of:
9.1 − 1.5
= 7.6
Calculate the value of:
7.8 × 2.5
= 19.5
Calculate the value of:
156.6 ÷ 18
= 8.7
What is the value of:
3^{2}
= 9
What is the value of:
5^{2}
= 0.04
Calculate the value of:
67 + 39
= 106
Calculate the value of:
54 − 29
= 25
Calculate the value of:
62 × 78
= 4836
Calculate the value of:
795 ÷ 15
= 53
Find the value of:
55% of 40
= 22
Find the value of:
3.78 × 10^{2}
= 378
Find the highest common factor of forty five and twenty five.
= 5
4 × 2 = 8  8 × 5 = 40 
6 × 2 = 12  3 × 4 = 12 
9 × 5 = 45  5 × 3 = 15 
7 × 2 = 14  2 × 3 = 6 
7 × 7 = 49  8 × 11 = 88 
5 × 2 = 10  3 × 7 = 21 
9 × 4 = 36  6 × 9 = 54 
4 × 8 = 32  2 × 9 = 18 
3 × 2 = 6  5 × 2 = 10 
6 × 2 = 12  4 × 2 = 8 
9 × 2 = 18  8 × 2 = 16 
7 × 2 = 14  2 × 2 = 4 
8 × 3 = 24  7 × 3 = 21 
6 × 3 = 18  4 × 3 = 12 
9 × 3 = 27  3 × 3 = 9 
5 × 3 = 15  2 × 3 = 6 
8 × 4 = 32  4 × 4 = 16 
7 × 4 = 28  6 × 4 = 24 
9 × 4 = 36  5 × 4 = 20 
3 × 4 = 12  2 × 4 = 8 
9 × 5 = 45  4 × 5 = 20 
8 × 5 = 40  3 × 5 = 15 
6 × 5 = 30  7 × 5 = 35 
5 × 5 = 25  2 × 5 = 10 
3 × 6 = 18  9 × 6 = 54 
6 × 6 = 36  4 × 6 = 24 
8 × 6 = 48  5 × 6 = 30 
7 × 6 = 42  2 × 6 = 12 
8 × 7 = 56  3 × 7 = 21 
7 × 7 = 49  6 × 7 = 42 
4 × 7 = 28  5 × 7 = 35 
9 × 7 = 63  2 × 7 = 14 
6 × 8 = 48  8 × 8 = 64 
7 × 8 = 56  4 × 8 = 32 
9 × 8 = 72  3 × 8 = 24 
5 × 8 = 40  2 × 8 = 16 
8 × 9 = 72  7 × 9 = 63 
4 × 9 = 36  5 × 9 = 45 
6 × 9 = 54  3 × 9 = 27 
9 × 9 = 81  2 × 9 = 18 
4 × 12 = 48  3 × 12 = 36 
7 × 12 = 84  5 × 12 = 60 
8 × 12 = 96  9 × 12 = 108 
6 × 12 = 72  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{8}{12}\) \(= \frac{2}{3}\)
Evaluate:
\( 1\frac{2}{3} − \frac{6}{7}\) \(= \frac{17}{21}\)
Find AC if AB = 3.9m and BC = 5.9m. 4.43m
Find angle BCA if AB = 4.7m and AC = 6.7m. 35.0^{o}
Find BC if angle BCA = 43^{o} and AB = 3.4m. 4.99m
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.
\(0.91\) = \( \frac{91}{100}\)
Increase £100 by 35%
£135
What is the lowest common multiple of twelve and twenty.
= 60
4,11,18,25,32...
Find the:
a) next term; 39
b) n^{th} term; 7n  3
c) term number 30; 207
3,6,12,24,48...
Find the:
a) next term; 96
b) n^{th} term; 3 × 2^{n1}
c) term number 12; 6144
If £140 is invested for 5 years with a simple interest rate of 6%, find the amount of interest earned. £42.00
If £180 is invested with an interest rate of 4% compounded annually, find the value of the investment after 7 years. £236.87
If £1 is worth $1.5, convert:
a) £180 to dollars; $270.00
b) $240 to pounds; £120.00
What are the coordinates of the midpoint of the line joining:
\((8,0) \text{ and } (2,12)\)
(3,6)
What is the gradient of the line joining:
\((6,1) \text{ and } (11,2)\)
\(\frac{3}{5}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((3,4),(7,8),(1,8)\)
(3,12)
a) 12 − 21 = 9
b) 12 × (7) = 84
c) (7−15)(11−18) = 56
d) 84 ÷ (7) = 12
e) (5)^{2} = 25
If p = 6, q = 26 and
r = 6 evaluate:
a) 2q − p = 46
b) pq + r = 150
c) p^{2} − 5q  r = 88
Solve:
\(3x = 15\)
\(x = 5\)
Solve:
\(5x +4= 44\)
\(x = 8\)
Solve:
\(6x +3= 2x + 23\)
\(x = 5\)
Solve:
\(4(3x 6)+7= 55\)
\(x = 6\)
Solve:
\(3(4x + 3)= 4(4x + 2)\)
\(x = 0.25\)
Solve:
\(4x3y = 5\)
\(3x+3y = 33\)
\(x = 4, y = 7\)
Solve:
\(4x3y = 3\)
\(2x+12y = 66\)
\(x = 3, y = 5\)
Solve:
\(3x+3y = 6\)
\(2x3y = 38.5\)
\(x = 6.5, y = 8.5\)
Find the union of:
{2,4,6,8,10} and
{1,3,5,7,9}
{1,2,3,4,5,6,7,8,9,10}
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 131^{o}. What bearing would it return on from B to A? 311^{o}
A number is picked at random from the set
{5,6,7,8,9,10}
what is the probability it is even? \(\frac12\)
Evaluate:
4 + (6 × 4^{2} − 7)
93
Simplify the following by collecting like terms:
\(3y+2w+7y\)
\(10y+2w\)
Divide 96 in the ratio
5:7
40 and 56
Draw a rough sketch of the graph of:
\(2y=x2\)
Gradient 0.5
y intercept 1
Express the following number as the product of prime numbers:
44
2 x 2 x 11
In a sale an item costs £30 after a 25% reduction. What was the original price?
£40
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.
0.242424... \(\frac{8}{33}\)
Decrease £60 by 45%
£33
Expand:
\(2(8x2)\)
\(16x4\)
Expand:
\((x+4)(4x1)\)
\(4x^2+15x4\)
Factorise:
\(6x54\)
\(6(1x9)\)
Factorise:
\(x^22x3\)
\((x+1)(x3)\)
Factorise:
\(8x^2+6x9\)
\((2x+3)(4x3)\)
Which theorem?
Find the value of:
2.69 × 10^{2}
= 0.0269
Write in standard form:
6470
= 6.47 × 10^{3}
Write in standard form:
0.0919
= 9.19 × 10^{2}
Find the n^{th} term:
\(3, 11, 23, 39, 59, \)
\(2n^2+2n1\)
Multiply 9 × 10^{4}
by 8 × 10^{6} and give the answer in standard form.
= 7.2 × 10^{11}
Solve:
\(x^23x10= 0\)
\(x = 5\) and \(2\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2x5 = 0\)
\(x = 1.10\) and \(0.905\)
What is the size of each interior angle of a regular heptagon?
128.6°
Make \(d\) the subject of the formula
$$e=\frac{2c1}{3}$$
$$d=\frac{3e+1}{2}$$
Calculate the value of:
5454 ÷ 6
= 909
What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5
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