What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37
Find all the factors of:
45
1, 3, 5, 9, 15, 45.
Subtract the 4th from the 7th 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 the following numbers to three significant figures:
a) 66.96; 67.0
b) 472607; 473000
c) 0.008495; 0.00850
Find the area of a triangle that has a base of 7cm and a height of 12cm.
42cm^{2}
Find the area of a trapezium that has a base of 17cm, a height of 11cm and a top (parallel to base) of 7cm. 132cm^{2}
Evaluate:
\( \frac{2}{4} + \frac{5}{6}\) \(= 1\frac{1}{3}\)
Evaluate:
\( \frac{3}{5} × \frac{6}{8}\) \(= \frac{9}{20}\)
Evaluate:
\( \frac{2}{4} ÷ \frac{6}{5}\) \(= \frac{5}{12}\)
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 11cm. Give your answer to three significant figures.
380cm^{2}
Find the circumference of a circle that has a radius of 8cm. Give your answer to three significant figures.
50.3cm^{2}
Calculate the value of:
4.9 + 6.6
= 11.5
Calculate the value of:
8.4 − 4.7
= 3.7
Calculate the value of:
8.6 × 5.7
= 49.02
Calculate the value of:
146.3 ÷ 19
= 7.7
What is the value of:
1^{2}
= 1
What is the value of:
1^{1}
= 1
Calculate the value of:
59 + 94
= 153
Calculate the value of:
94 − 25
= 69
Calculate the value of:
42 × 43
= 1806
Calculate the value of:
1175 ÷ 25
= 47
Find the value of:
15% of 100
= 15
Find the value of:
1.75 × 10^{4}
= 17500
Find the highest common factor of eighteen and twelve.
= 6
8 × 2 = 16  7 × 4 = 28 
9 × 5 = 45  3 × 2 = 6 
5 × 5 = 25  4 × 5 = 20 
6 × 5 = 30  2 × 5 = 10 
4 × 10 = 40  7 × 12 = 84 
3 × 9 = 27  9 × 9 = 81 
6 × 6 = 36  5 × 8 = 40 
8 × 4 = 32  2 × 4 = 8 
3 × 2 = 6  8 × 2 = 16 
6 × 2 = 12  4 × 2 = 8 
5 × 2 = 10  7 × 2 = 14 
9 × 2 = 18  2 × 2 = 4 
9 × 3 = 27  6 × 3 = 18 
4 × 3 = 12  8 × 3 = 24 
7 × 3 = 21  5 × 3 = 15 
3 × 3 = 9  2 × 3 = 6 
8 × 4 = 32  6 × 4 = 24 
3 × 4 = 12  9 × 4 = 36 
5 × 4 = 20  4 × 4 = 16 
7 × 4 = 28  2 × 4 = 8 
5 × 5 = 25  3 × 5 = 15 
6 × 5 = 30  7 × 5 = 35 
4 × 5 = 20  8 × 5 = 40 
9 × 5 = 45  2 × 5 = 10 
7 × 6 = 42  6 × 6 = 36 
4 × 6 = 24  8 × 6 = 48 
9 × 6 = 54  5 × 6 = 30 
3 × 6 = 18  2 × 6 = 12 
3 × 7 = 21  4 × 7 = 28 
8 × 7 = 56  5 × 7 = 35 
7 × 7 = 49  9 × 7 = 63 
6 × 7 = 42  2 × 7 = 14 
5 × 8 = 40  8 × 8 = 64 
3 × 8 = 24  4 × 8 = 32 
6 × 8 = 48  9 × 8 = 72 
7 × 8 = 56  2 × 8 = 16 
6 × 9 = 54  5 × 9 = 45 
9 × 9 = 81  4 × 9 = 36 
7 × 9 = 63  8 × 9 = 72 
3 × 9 = 27  2 × 9 = 18 
8 × 12 = 96  9 × 12 = 108 
6 × 12 = 72  7 × 12 = 84 
4 × 12 = 48  5 × 12 = 60 
3 × 12 = 36  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{40}{48}\) \(= \frac{5}{6}\)
Evaluate:
\( 2\frac{4}{5} − \frac{6}{7}\) \(= 1\frac{33}{35}\)
Find AB if AC = 3.4m and BC = 5.4m. 4.20m
Find angle ABC if AB = 5.1m and BC = 6.4m. 37.2^{o}
Find BC if angle BCA = 45^{o} and AC = 4.4m. 6.22m
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.
\( \frac{4}{9}\) \(= 0.444\)
Convert this decimal to a fraction.
\(0.07\) = \( \frac{7}{100}\)
Increase £20 by 45%
£29
What is the lowest common multiple of six and fourteen.
= 42
7,21,35,49,63...
Find the:
a) next term; 77
b) n^{th} term; 14n  7
c) term number 31; 427
4,8,16,32,64...
Find the:
a) next term; 128
b) n^{th} term; 4 × 2^{n1}
c) term number 12; 8192
If £140 is invested for 6 years with a simple interest rate of 3%, find the amount of interest earned. £25.20
If £200 is invested with an interest rate of 4% compounded annually, find the value of the investment after 6 years. £253.06
If £1 is worth $1.55, convert:
a) £100 to dollars; $155.00
b) $160 to pounds; £64.52
What are the coordinates of the midpoint of the line joining:
\((7,3) \text{ and } (1,9)\)
(4,6)
What is the gradient of the line joining:
\((9,1) \text{ and } (14,6)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((4,5),(9,8),(1,10)\)
(6,13)
a) 7 − 16 = 9
b) 7 × (7) = 49
c) (5−10)(6−11) = 25
d) 49 ÷ (7) = 7
e) (10)^{2} = 100
If p = 5, q = 22 and
r = 7 evaluate:
a) 2q − p = 39
b) pq + r = 103
c) p^{2} − 5q  r = 78
Solve:
\(2x = 8\)
\(x = 4\)
Solve:
\(3x +1= 16\)
\(x = 5\)
Solve:
\(7x +3= 6x + 7\)
\(x = 4\)
Solve:
\(4(2x +2)5= 67\)
\(x = 8\)
Solve:
\(3(3x + 4)= 2(4x + 5)\)
\(x = 2\)
Solve:
\(5x+2y = 32\)
\(4x+2y = 28\)
\(x = 4, y = 6\)
Solve:
\(5x+4y = 63\)
\(3x+8y = 77\)
\(x = 7, y = 7\)
Solve:
\(6x4y = 10\)
\(3x+7y = 50\)
\(x = 5, y = 5\)
Find the union of:
{1,2,3,4,5} and
{2,4,6,8,10}
{1,2,3,4,5,6,8,10}
Find the intersection of:
{6,7,8,9,10} and
{2,6,12}
{6}
A plane flies from point A to point B on a bearing of 029^{o}. What bearing would it return on from B to A? 209^{o}
A number is picked at random from the set
{2,3,5,7,11,13}
what is the probability it is even? \(\frac16\)
Evaluate:
64 ÷ 8 × 48 ÷ 8
48
Simplify the following by collecting like terms:
\(7d−3e−5d+7e\)
\(4e+2d\)
Divide 90 in the ratio
3:6
30 and 60
Draw a rough sketch of the graph of:
\(2y=x+4\)
Gradient 0.5
y intercept 2
Express the following number as the product of prime numbers:
37
37
In a sale an item costs £33 after a 45% reduction. What was the original price?
£60
Find the mean, mode, median and range of the following:
6,7,8,9,10
Mean = 8, no mode,
median = 8 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.161616... \(\frac{16}{99}\)
Decrease £20 by 5%
£19
Expand:
\(3(4x6)\)
\(12x18\)
Expand:
\((4x+1)(3x2)\)
\(12x^25x2\)
Factorise:
\(36x9\)
\(9(4x1)\)
Factorise:
\(x^23x4\)
\((x+1)(x4)\)
Factorise:
\(x^23x4\)
\((x+1)(x4)\)
Which theorem?
Find the value of:
7.92 × 10^{2}
= 0.0792
Write in standard form:
2650
= 2.65 × 10^{3}
Write in standard form:
0.00615
= 6.15 × 10^{3}
Find the n^{th} term:
\(13, 22, 33, 46, 61, \)
\(n^2+6n+6\)
Multiply 5 × 10^{2}
by 9 × 10^{2} and give the answer in standard form.
= 4.5 × 10^{5}
Solve:
\(x^2x6= 0\)
\(x = 3\) 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 octagon?
135°
Make \(d\) the subject of the formula
$$e=\frac{2d1}{3}$$
$$d=\frac{3e+1}{2}$$
Calculate the value of:
6416 ÷ 8
= 802
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
Topics: Starter  Algebra  Arithmetic  Circles  Coordinates  Fractions  Mental Methods  Mixed  Money  Sets  Simultaneous Equations  Tables  Trigonometry
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