What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29
Find all the factors of:
50
1, 2, 5, 10, 25, 50.
Subtract the 6th from the 10th multiples of:
8
32
What are the names of regular polygons with:
a) seven sides;
b) eight sides;
c) nine sides.
Heptagon, Octagon and Nonagon (all regular)
Round the following numbers to three significant figures:
a) 67.19; 67.2
b) 987500; 988000
c) 0.007795; 0.00780
Find the area of a triangle that has a base of 4cm and a height of 9cm.
18cm^{2}
Find the area of a trapezium that has a base of 17cm, a height of 6cm and a top (parallel to base) of 7cm. 72cm^{2}
Evaluate:
\( \frac{2}{3} + \frac{5}{8}\) \(= 1\frac{7}{24}\)
Evaluate:
\( \frac{2}{4} × \frac{6}{8}\) \(= \frac{3}{8}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{7}{5}\) \(= \frac{10}{21}\)
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.
\( \frac{4}{7}\) \(= 57.1\)%
Find the area of a circle that has a radius of 9cm. Give your answer to three significant figures.
254cm^{2}
Find the circumference of a circle that has a radius of 2cm. Give your answer to three significant figures.
12.6cm^{2}
Calculate the value of:
7.9 + 8.5
= 16.4
Calculate the value of:
8.2 − 3.6
= 4.6
Calculate the value of:
3.2 × 5.6
= 17.92
Calculate the value of:
72.8 ÷ 14
= 5.2
What is the value of:
5^{2}
= 25
What is the value of:
5^{1}
= 0.2
Calculate the value of:
59 + 69
= 128
Calculate the value of:
74 − 25
= 49
Calculate the value of:
89 × 53
= 4717
Calculate the value of:
1550 ÷ 25
= 62
Find the value of:
25% of 160
= 40
Find the value of:
3.64 × 10^{4}
= 36400
Find the highest common factor of twenty one and twelve.
= 3
3 × 4 = 12  5 × 3 = 15 
7 × 3 = 21  6 × 4 = 24 
4 × 2 = 8  9 × 4 = 36 
8 × 5 = 40  2 × 2 = 4 
8 × 2 = 16  6 × 11 = 66 
4 × 7 = 28  3 × 12 = 36 
9 × 4 = 36  7 × 3 = 21 
5 × 6 = 30  2 × 12 = 24 
4 × 2 = 8  9 × 2 = 18 
5 × 2 = 10  7 × 2 = 14 
8 × 2 = 16  6 × 2 = 12 
3 × 2 = 6  2 × 2 = 4 
4 × 3 = 12  9 × 3 = 27 
6 × 3 = 18  5 × 3 = 15 
7 × 3 = 21  8 × 3 = 24 
3 × 3 = 9  2 × 3 = 6 
6 × 4 = 24  8 × 4 = 32 
5 × 4 = 20  7 × 4 = 28 
4 × 4 = 16  3 × 4 = 12 
9 × 4 = 36  2 × 4 = 8 
8 × 5 = 40  4 × 5 = 20 
6 × 5 = 30  7 × 5 = 35 
9 × 5 = 45  3 × 5 = 15 
5 × 5 = 25  2 × 5 = 10 
4 × 6 = 24  7 × 6 = 42 
5 × 6 = 30  9 × 6 = 54 
6 × 6 = 36  3 × 6 = 18 
8 × 6 = 48  2 × 6 = 12 
8 × 7 = 56  6 × 7 = 42 
3 × 7 = 21  7 × 7 = 49 
4 × 7 = 28  9 × 7 = 63 
5 × 7 = 35  2 × 7 = 14 
7 × 8 = 56  5 × 8 = 40 
3 × 8 = 24  4 × 8 = 32 
9 × 8 = 72  8 × 8 = 64 
6 × 8 = 48  2 × 8 = 16 
7 × 9 = 63  5 × 9 = 45 
8 × 9 = 72  3 × 9 = 27 
4 × 9 = 36  6 × 9 = 54 
9 × 9 = 81  2 × 9 = 18 
4 × 12 = 48  5 × 12 = 60 
8 × 12 = 96  3 × 12 = 36 
9 × 12 = 108  7 × 12 = 84 
6 × 12 = 72  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{24}{30}\) \(= \frac{4}{5}\)
Evaluate:
\( 2\frac{4}{5} − \frac{6}{7}\) \(= 1\frac{33}{35}\)
Find BC if AB = 4.8m and AC = 5.9m. 7.61m
Find angle ABC if AB = 4.2m and BC = 5.3m. 37.6^{o}
Find AC if angle ABC = 56^{o} and AB = 5.8m. 8.60m
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.
\( \frac{3}{5}\) \(= 0.6\)
Convert this decimal to a fraction.
\(0.2\) = \( \frac{1}{5}\)
Increase £100 by 15%
£115
What is the lowest common multiple of sixteen and thirty two.
= 32
3,11,19,27,35...
Find the:
a) next term; 43
b) n^{th} term; 8n  5
c) term number 31; 243
5,20,80,320,1280...
Find the:
a) next term; 5120
b) n^{th} term; 5 × 4^{n1}
c) term number 9; 327680
If £120 is invested for 6 years with a simple interest rate of 1%, find the amount of interest earned. £7.20
If £100 is invested with an interest rate of 1% compounded annually, find the value of the investment after 9 years. £109.37
If £1 is worth $1.43, convert:
a) £160 to dollars; $228.80
b) $120 to pounds; £111.89
What are the coordinates of the midpoint of the line joining:
\((7,7) \text{ and } (1,17)\)
(4,12)
What is the gradient of the line joining:
\((0,1) \text{ and } (5,6)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((5,3),(10,9),(1,8)\)
(4,14)
a) 8 − 20 = 12
b) 8 × (5) = 40
c) (10−18)(8−19) = 88
d) 40 ÷ (5) = 8
e) (10)^{2} = 100
If p = 5, q = 25 and
r = 9 evaluate:
a) 2q − p = 45
b) pq + r = 116
c) p^{2} − 5q  r = 91
Solve:
\(3x = 18\)
\(x = 6\)
Solve:
\(3x +5= 23\)
\(x = 6\)
Solve:
\(3x 4= 2x + 5\)
\(x = 9\)
Solve:
\(2(2x +3)10= 4\)
\(x = 2\)
Solve:
\(4(3x + 3)= 3(5x + 4)\)
\(x = 0\)
Solve:
\(3x5y = 3\)
\(5x+5y = 45\)
\(x = 6, y = 3\)
Solve:
\(2x+5y = 24\)
\(3x15y = 54\)
\(x = 2, y = 4\)
Solve:
\(7x5y = 76.5\)
\(4x2y = 39\)
\(x = 7, y = 5.5\)
Find the union of:
{1,2,3,4,5} and
{6,7,8,9,10}
{1,2,3,4,5,6,7,8,9,10}
Find the intersection of:
{2,4,6,8,10} and
{1,3,6,10,15}
{6,10}
A plane flies from point A to point B on a bearing of 358^{o}. What bearing would it return on from B to A? 178^{o}
A number is picked at random from the set
{3,6,9,12,15}
what is the probability it is even? \(\frac25\)
Evaluate:
(16 − 5)^{2} + 5 × 7
156
Simplify the following by collecting like terms:
\(3x+5x^28x+x^2\)
\(6x^25x\)
Divide 144 in the ratio
5:7
60 and 84
Draw a rough sketch of the graph of:
\(y=2x\)
Gradient 2
y intercept 0
Express the following number as the product of prime numbers:
40
2 x 2 x 2 x 5
In a sale an item costs £24 after a 40% reduction. What was the original price?
£40
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.
0.434343... \(\frac{43}{99}\)
Decrease £60 by 35%
£39
Expand:
\(6(7x8)\)
\(42x48\)
Expand:
\((3x+2)(2x1)\)
\(6x^2+x2\)
Factorise:
\(27x6\)
\(3(9x2)\)
Factorise:
\(x^2+x2\)
\((x+2)(x1)\)
Factorise:
\(6x^2+7x3\)
\((2x+3)(3x1)\)
Which theorem?
Find the value of:
7.33 × 10^{5}
= 0.0000733
Write in standard form:
233
= 2.33 × 10^{2}
Write in standard form:
0.0383
= 3.83 × 10^{2}
Find the n^{th} term:
\(11, 20, 33, 50, 71, \)
\(2n^2+3n+6\)
Multiply 8 × 10^{3}
by 9 × 10^{6} and give the answer in standard form.
= 7.2 × 10^{10}
Solve:
\(x^2x12= 0\)
\(x = 4\) and \(3\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2+x5 = 0\)
\(x = 1.35\) and \(1.85\)
What is the size of each interior angle of a regular hexagon?
120°
Make \(h\) the subject of the formula
$$e=\frac{h}{4}5$$
$$h=4(e+5)$$
Calculate the value of:
4004 ÷ 7
= 572
What is the 8th:
a) Cube number; 512
b) Triangular number; 36
c) Fibonacci number. 21
Topics: Starter  Algebra  Arithmetic  Circles  Coordinates  Fractions  Mental Methods  Mixed  Money  Sets  Simultaneous Equations  Tables  Trigonometry
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