What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37
Find all the factors of:
40
1, 2, 4, 5, 8, 10, 20, 40.
Subtract the 5th from the 10th multiples of:
7
35
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) 68.75; 68.8
b) 628857; 629000
c) 0.003895; 0.00390
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 9cm, a height of 12cm and a top (parallel to base) of 3cm. 72cm^{2}
Evaluate:
\( \frac{4}{7} + \frac{8}{11}\) \(= 1\frac{23}{77}\)
Evaluate:
\( \frac{2}{3} × \frac{4}{6}\) \(= \frac{4}{9}\)
Evaluate:
\( \frac{3}{4} ÷ \frac{8}{6}\) \(= \frac{9}{16}\)
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.
\( \frac{4}{9}\) \(= 44.4\)%
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 7cm. Give your answer to three significant figures.
44.0cm
Calculate the value of:
5.7 + 7.9
= 13.6
Calculate the value of:
5.2 − 4.7
= 0.5
Calculate the value of:
6.4 × 4.4
= 28.16
Calculate the value of:
127.5 ÷ 15
= 8.5
What is the value of:
2^{3}
= 8
What is the value of:
1^{3}
= 1
Calculate the value of:
37 + 95
= 132
Calculate the value of:
54 − 25
= 29
Calculate the value of:
35 × 42
= 1470
Calculate the value of:
648 ÷ 12
= 54
Find the value of:
20% of 80
= 16
Find the value of:
3.31 × 10^{6}
= 3310000
Find the highest common factor of fourteen and ten.
= 2
3 × 2 = 6  8 × 5 = 40 
5 × 2 = 10  4 × 4 = 16 
7 × 4 = 28  9 × 4 = 36 
6 × 3 = 18  2 × 3 = 6 
7 × 12 = 84  4 × 7 = 28 
9 × 3 = 27  6 × 5 = 30 
5 × 5 = 25  8 × 9 = 72 
3 × 12 = 36  2 × 12 = 24 
9 × 2 = 18  6 × 2 = 12 
8 × 2 = 16  3 × 2 = 6 
4 × 2 = 8  5 × 2 = 10 
7 × 2 = 14  2 × 2 = 4 
5 × 3 = 15  4 × 3 = 12 
7 × 3 = 21  6 × 3 = 18 
8 × 3 = 24  3 × 3 = 9 
9 × 3 = 27  2 × 3 = 6 
8 × 4 = 32  6 × 4 = 24 
5 × 4 = 20  9 × 4 = 36 
4 × 4 = 16  3 × 4 = 12 
7 × 4 = 28  2 × 4 = 8 
9 × 5 = 45  3 × 5 = 15 
6 × 5 = 30  8 × 5 = 40 
5 × 5 = 25  7 × 5 = 35 
4 × 5 = 20  2 × 5 = 10 
9 × 6 = 54  7 × 6 = 42 
8 × 6 = 48  3 × 6 = 18 
4 × 6 = 24  5 × 6 = 30 
6 × 6 = 36  2 × 6 = 12 
9 × 7 = 63  6 × 7 = 42 
5 × 7 = 35  3 × 7 = 21 
8 × 7 = 56  7 × 7 = 49 
4 × 7 = 28  2 × 7 = 14 
9 × 8 = 72  5 × 8 = 40 
7 × 8 = 56  6 × 8 = 48 
8 × 8 = 64  4 × 8 = 32 
3 × 8 = 24  2 × 8 = 16 
7 × 9 = 63  3 × 9 = 27 
4 × 9 = 36  6 × 9 = 54 
9 × 9 = 81  5 × 9 = 45 
8 × 9 = 72  2 × 9 = 18 
7 × 12 = 84  6 × 12 = 72 
8 × 12 = 96  5 × 12 = 60 
3 × 12 = 36  4 × 12 = 48 
9 × 12 = 108  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{18}{36}\) \(= \frac{1}{2}\)
Evaluate:
\( 2\frac{1}{2} − \frac{4}{5}\) \(= 1\frac{7}{10}\)
Find AB if AC = 3.5m and BC = 5.4m. 4.11m
Find angle ABC if AC = 4.6m and AB = 6.4m. 35.7^{o}
Find AC if angle ABC = 46^{o} and BC = 3.4m. 2.45m
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.
\( \frac{1}{2}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.63\) = \( \frac{63}{100}\)
Increase £20 by 10%
£22
What is the lowest common multiple of eight and thirty two.
= 32
7,16,25,34,43...
Find the:
a) next term; 52
b) n^{th} term; 9n  2
c) term number 36; 322
4,12,36,108,324...
Find the:
a) next term; 972
b) n^{th} term; 4 × 3^{n1}
c) term number 11; 236196
If £220 is invested for 9 years with a simple interest rate of 6%, find the amount of interest earned. £118.80
If £100 is invested with an interest rate of 3% compounded annually, find the value of the investment after 4 years. £112.55
If £1 is worth $1.58, convert:
a) £160 to dollars; $252.80
b) $140 to pounds; £88.61
What are the coordinates of the midpoint of the line joining:
\((4,7) \text{ and } (16,17)\)
(10,12)
What is the gradient of the line joining:
\((3,0) \text{ and } (8,4)\)
\(\frac{4}{5}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((3,4),(7,7),(0,8)\)
(4,11)
a) 5 − 10 = 5
b) 5 × (9) = 45
c) (8−20)(10−21) = 132
d) 45 ÷ (9) = 5
e) (8)^{2} = 64
If p = 6, q = 15 and
r = 10 evaluate:
a) 2q − p = 24
b) pq + r = 80
c) p^{2} − 5q  r = 29
Solve:
\(2x = 8\)
\(x = 4\)
Solve:
\(3x +4= 19\)
\(x = 5\)
Solve:
\(7x +3= 3x + 15\)
\(x = 3\)
Solve:
\(4(3x 4)+8= 88\)
\(x = 8\)
Solve:
\(4(4x + 4)= 5(5x + 5)\)
\(x = 1\)
Solve:
\(6x+2y = 22\)
\(5x2y = 0\)
\(x = 2, y = 5\)
Solve:
\(2x+2y = 24\)
\(5x6y = 6\)
\(x = 6, y = 6\)
Solve:
\(2x2y = 28\)
\(3x5y = 54\)
\(x = 8, y = 6\)
Find the union of:
{6,7,8,9,10} and
{2,6,12}
{2,6,7,8,9,10,12}
Find the intersection of:
{1,2,3,4,5} and
{1,3,6,10,15}
{1,3}
A plane flies from point A to point B on a bearing of 292^{o}. What bearing would it return on from B to A? 112^{o}
A number is picked at random from the set
{6,7,8,9,10}
what is the probability it is even? \(\frac35\)
Evaluate:
8 ÷ 2 × 35 ÷ 5
28
Simplify the following by collecting like terms:
\(5a−5−4a−5\)
\(a10\)
Divide 110 in the ratio
7:3
77 and 33
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:
1080
2 x 2 x 2 x 3 x 3 x 3 x 5
In a sale an item costs £126 after a 30% 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.
0.989898... \(\frac{98}{99}\)
Decrease £120 by 5%
£114
Expand:
\(2(8x4)\)
\(16x8\)
Expand:
\((2x+1)(3x1)\)
\(6x^2+x1\)
Factorise:
\(21x14\)
\(7(3x2)\)
Factorise:
\(x^22x3\)
\((x+1)(x3)\)
Factorise:
\(5x^2+7x6\)
\((x+2)(5x3)\)
Which theorem?
Find the value of:
7.2 × 10^{2}
= 0.072
Write in standard form:
49300
= 4.93 × 10^{4}
Write in standard form:
0.00975
= 9.75 × 10^{3}
Find the n^{th} term:
\(7, 21, 41, 67, 99, \)
\(3n^2+5n1\)
Multiply 5 × 10^{2}
by 8 × 10^{3} and give the answer in standard form.
= 4 × 10^{6}
Solve:
\(x^2x30= 0\)
\(x = 6\) and \(5\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^24x5 = 0\)
\(x = 2.12\) and \(0.786\)
What is the size of each exterior angle of a regular heptagon?
51.4°
Make \(e\) the subject of the formula
$$f=g(e+h)$$
$$e=\frac{f}{g}h$$
Calculate the value of:
6201 ÷ 9
= 689
What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89
What is the square root of
36
6
What are the next three prime numbers after
17
19, 23, 29
Write down something you learnt in the previous mathematics lesson.
Write down something you learnt in one of the mathematics lessons last week.
Calculate \(x\).
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