What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37
Find all the factors of:
30
1, 2, 3, 5, 6, 10, 15, 30.
Subtract the 4th from the 7th multiples of:
7
21
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) 39.48; 39.5
b) 691099; 691000
c) 0.001595; 0.00160
Find the area of a triangle that has a base of 5cm and a height of 10cm.
25cm^{2}
Find the area of a trapezium that has a base of 13cm, a height of 7cm and a top (parallel to base) of 7cm. 70cm^{2}
Evaluate:
\( \frac{3}{5} + \frac{8}{9}\) \(= 1\frac{22}{45}\)
Evaluate:
\( \frac{1}{2} × \frac{4}{5}\) \(= \frac{2}{5}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{5}{3}\) \(= \frac{3}{10}\)
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.
\( \frac{4}{6}\) \(= 66.7\)%
Find the area of a circle that has a radius of 3cm. Give your answer to three significant figures.
28.3cm^{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:
9.5 + 2.8
= 12.3
Calculate the value of:
5.2 − 4.5
= 0.7
Calculate the value of:
3.8 × 9.7
= 36.86
Calculate the value of:
131.4 ÷ 18
= 7.3
What is the value of:
5^{3}
= 125
What is the value of:
1^{2}
= 1
Calculate the value of:
38 + 35
= 73
Calculate the value of:
73 − 29
= 44
Calculate the value of:
78 × 67
= 5226
Calculate the value of:
1914 ÷ 29
= 66
Find the value of:
30% of 60
= 18
Find the value of:
3.69 × 10^{5}
= 369000
Find the highest common factor of thirty six and twelve.
= 12
8 × 3 = 24  4 × 5 = 20 
7 × 3 = 21  5 × 4 = 20 
6 × 3 = 18  9 × 4 = 36 
3 × 2 = 6  2 × 5 = 10 
5 × 6 = 30  9 × 4 = 36 
7 × 5 = 35  3 × 9 = 27 
4 × 3 = 12  8 × 8 = 64 
6 × 10 = 60  2 × 10 = 20 
8 × 2 = 16  5 × 2 = 10 
7 × 2 = 14  3 × 2 = 6 
4 × 2 = 8  9 × 2 = 18 
6 × 2 = 12  2 × 2 = 4 
9 × 3 = 27  6 × 3 = 18 
8 × 3 = 24  7 × 3 = 21 
4 × 3 = 12  5 × 3 = 15 
3 × 3 = 9  2 × 3 = 6 
9 × 4 = 36  8 × 4 = 32 
5 × 4 = 20  7 × 4 = 28 
3 × 4 = 12  4 × 4 = 16 
6 × 4 = 24  2 × 4 = 8 
8 × 5 = 40  6 × 5 = 30 
4 × 5 = 20  3 × 5 = 15 
5 × 5 = 25  9 × 5 = 45 
7 × 5 = 35  2 × 5 = 10 
4 × 6 = 24  9 × 6 = 54 
8 × 6 = 48  6 × 6 = 36 
5 × 6 = 30  3 × 6 = 18 
7 × 6 = 42  2 × 6 = 12 
3 × 7 = 21  4 × 7 = 28 
7 × 7 = 49  8 × 7 = 56 
9 × 7 = 63  5 × 7 = 35 
6 × 7 = 42  2 × 7 = 14 
6 × 8 = 48  8 × 8 = 64 
3 × 8 = 24  7 × 8 = 56 
5 × 8 = 40  4 × 8 = 32 
9 × 8 = 72  2 × 8 = 16 
3 × 9 = 27  6 × 9 = 54 
8 × 9 = 72  7 × 9 = 63 
5 × 9 = 45  9 × 9 = 81 
4 × 9 = 36  2 × 9 = 18 
7 × 12 = 84  8 × 12 = 96 
4 × 12 = 48  5 × 12 = 60 
6 × 12 = 72  3 × 12 = 36 
9 × 12 = 108  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{14}{21}\) \(= \frac{2}{3}\)
Evaluate:
\( 1\frac{4}{5} − \frac{8}{9}\) \(= \frac{41}{45}\)
Find AB if AC = 4.8m and BC = 6.8m. 4.82m
Find angle ABC if AC = 3.2m and BC = 5m. 39.8^{o}
Find AC if angle ABC = 46^{o} and BC = 4.3m. 3.09m
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.
\(0.69\) = \( \frac{69}{100}\)
Increase £100 by 25%
£125
What is the lowest common multiple of six and ten.
= 30
6,17,28,39,50...
Find the:
a) next term; 61
b) n^{th} term; 11n  5
c) term number 41; 446
4,8,16,32,64...
Find the:
a) next term; 128
b) n^{th} term; 4 × 2^{n1}
c) term number 11; 4096
If £200 is invested for 6 years with a simple interest rate of 3%, find the amount of interest earned. £36.00
If £240 is invested with an interest rate of 4% compounded annually, find the value of the investment after 4 years. £280.77
If £1 is worth $1.53, convert:
a) £220 to dollars; $336.60
b) $220 to pounds; £143.79
What are the coordinates of the midpoint of the line joining:
\((7,4) \text{ and } (1,2)\)
(3,1)
What is the gradient of the line joining:
\((9,2) \text{ and } (6,3)\)
\(\frac{5}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((5,5),(9,11),(1,9)\)
(3,15)
a) 5 − 14 = 9
b) 5 × (12) = 60
c) (8−19)(10−18) = 88
d) 60 ÷ (12) = 5
e) (12)^{2} = 144
If p = 5, q = 20 and
r = 8 evaluate:
a) 2q − p = 35
b) pq + r = 92
c) p^{2} − 5q  r = 67
Solve:
\(4x = 24\)
\(x = 6\)
Solve:
\(2x +4= 12\)
\(x = 4\)
Solve:
\(6x 2= 4x + 12\)
\(x = 7\)
Solve:
\(4(2x 5)8= 4\)
\(x = 4\)
Solve:
\(3(3x + 3)= 4(5x + 4)\)
\(x = 0.636 \text{(to 3 sf)}\)
Solve:
\(4x4y = 4\)
\(5x+4y = 50\)
\(x = 6, y = 5\)
Solve:
\(2x4y = 16\)
\(3x+16y = 108\)
\(x = 4, y = 6\)
Solve:
\(4x+5y = 1\)
\(4x4y = 46\)
\(x = 6.5, y = 5\)
Find the union of:
{2,4,6,8,10} and
{5,6,7,8,9,10}
{2,4,5,6,7,8,9,10}
Find the intersection of:
{6,7,8,9,10} and
{3,6,9,12,15}
{6,9}
A plane flies from point A to point B on a bearing of 100^{o}. What bearing would it return on from B to A? 280^{o}
A number is picked at random from the set
{3,6,9,12,15}
what is the probability it is even? \(\frac25\)
Evaluate:
6 + (3 × 4^{2} − 5)
49
Simplify the following by collecting like terms:
\(3a+5b3a+4b^2\)
\(5b+4b^2\)
Divide 240 in the ratio
9:7
135 and 105
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:
37
37
In a sale an item costs £162 after a 10% reduction. What was the original price?
£180
Find the mean, mode, median and range of the following:
1,3,5,7,9
Mean = 5, no mode,
median = 5 and range = 8
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.333333... \(\frac{1}{3}\)
Decrease £180 by 45%
£99
Expand:
\(3(3x3)\)
\(9x9\)
Expand:
\((x+3)(4x1)\)
\(4x^2+11x3\)
Factorise:
\(32x72\)
\(8(4x9)\)
Factorise:
\(x^22x8\)
\((x+2)(x4)\)
Factorise:
\(3x^2+11x4\)
\((x+4)(3x1)\)
Which theorem?
Find the value of:
8.27 × 10^{3}
= 0.00827
Write in standard form:
606
= 6.06 × 10^{2}
Write in standard form:
0.0000378
= 3.78 × 10^{5}
Find the n^{th} term:
\(11, 19, 29, 41, 55, \)
\(n^2+5n+5\)
Multiply 5 × 10^{4}
by 7 × 10^{5} and give the answer in standard form.
= 3.5 × 10^{10}
Solve:
\(x^22x8= 0\)
\(x = 4\) and \(2\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2x1 = 0\)
\(x = 0.640\) and \(0.390\)
What is the size of each interior angle of a regular heptagon?
128.6°
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