What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37
Find all the factors of:
31
1, 31.
Subtract the 4th from the 9th multiples of:
6
30
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) 56.77; 56.8
b) 882112; 882000
c) 0.002995; 0.00300
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 14cm, a height of 5cm and a top (parallel to base) of 4cm. 45cm^{2}
Evaluate:
\( \frac{1}{2} + \frac{5}{6}\) \(= 1\frac{1}{3}\)
Evaluate:
\( \frac{2}{3} × \frac{5}{6}\) \(= \frac{5}{9}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{5}{4}\) \(= \frac{8}{15}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{1}{4}\) \(= 25\)%
Find the area of a circle that has a radius of 2cm. Give your answer to three significant figures.
12.6cm^{2}
Find the circumference of a circle that has a radius of 7cm. Give your answer to three significant figures.
44.0cm^{2}
Calculate the value of:
4.8 + 4.7
= 9.5
Calculate the value of:
8.2 − 4.9
= 3.3
Calculate the value of:
3.5 × 6.5
= 22.75
Calculate the value of:
70.4 ÷ 16
= 4.4
What is the value of:
5^{3}
= 125
What is the value of:
1^{1}
= 1
Calculate the value of:
49 + 69
= 118
Calculate the value of:
84 − 28
= 56
Calculate the value of:
34 × 63
= 2142
Calculate the value of:
1273 ÷ 19
= 67
Find the value of:
70% of 100
= 70
Find the value of:
7.51 × 10^{3}
= 7510
Find the highest common factor of forty and fifteen.
= 5
3 × 3 = 9  7 × 5 = 35 
5 × 5 = 25  6 × 5 = 30 
9 × 4 = 36  8 × 4 = 32 
4 × 3 = 12  2 × 2 = 4 
9 × 2 = 18  3 × 11 = 33 
8 × 9 = 72  5 × 6 = 30 
7 × 11 = 77  6 × 10 = 60 
4 × 6 = 24  2 × 5 = 10 
6 × 2 = 12  5 × 2 = 10 
4 × 2 = 8  7 × 2 = 14 
8 × 2 = 16  3 × 2 = 6 
9 × 2 = 18  2 × 2 = 4 
5 × 3 = 15  3 × 3 = 9 
4 × 3 = 12  9 × 3 = 27 
6 × 3 = 18  8 × 3 = 24 
7 × 3 = 21  2 × 3 = 6 
9 × 4 = 36  4 × 4 = 16 
8 × 4 = 32  7 × 4 = 28 
3 × 4 = 12  5 × 4 = 20 
6 × 4 = 24  2 × 4 = 8 
8 × 5 = 40  4 × 5 = 20 
6 × 5 = 30  5 × 5 = 25 
7 × 5 = 35  9 × 5 = 45 
3 × 5 = 15  2 × 5 = 10 
5 × 6 = 30  9 × 6 = 54 
7 × 6 = 42  6 × 6 = 36 
3 × 6 = 18  8 × 6 = 48 
4 × 6 = 24  2 × 6 = 12 
7 × 7 = 49  4 × 7 = 28 
8 × 7 = 56  9 × 7 = 63 
6 × 7 = 42  5 × 7 = 35 
3 × 7 = 21  2 × 7 = 14 
7 × 8 = 56  8 × 8 = 64 
4 × 8 = 32  6 × 8 = 48 
9 × 8 = 72  3 × 8 = 24 
5 × 8 = 40  2 × 8 = 16 
4 × 9 = 36  3 × 9 = 27 
6 × 9 = 54  8 × 9 = 72 
9 × 9 = 81  5 × 9 = 45 
7 × 9 = 63  2 × 9 = 18 
7 × 12 = 84  8 × 12 = 96 
4 × 12 = 48  6 × 12 = 72 
3 × 12 = 36  9 × 12 = 108 
5 × 12 = 60  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{40}{48}\) \(= \frac{5}{6}\)
Evaluate:
\( 2\frac{3}{4} − \frac{6}{7}\) \(= 1\frac{25}{28}\)
Find AB if AC = 5m and BC = 6.1m. 3.49m
Find angle BCA if AC = 4.7m and BC = 6.1m. 39.6^{o}
Find AC if angle ABC = 43^{o} and AB = 4.2m. 3.92m
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.
\( \frac{5}{7}\) \(= 0.714\)
Convert this decimal to a fraction.
\(0.59\) = \( \frac{59}{100}\)
Increase £60 by 5%
£63
What is the lowest common multiple of four and twelve.
= 12
7,18,29,40,51...
Find the:
a) next term; 62
b) n^{th} term; 11n  4
c) term number 56; 612
5,10,20,40,80...
Find the:
a) next term; 160
b) n^{th} term; 5 × 2^{n1}
c) term number 8; 640
If £200 is invested for 4 years with a simple interest rate of 1%, find the amount of interest earned. £8.00
If £140 is invested with an interest rate of 4% compounded annually, find the value of the investment after 5 years. £170.33
If £1 is worth $1.52, convert:
a) £200 to dollars; $304.00
b) $140 to pounds; £131.58
What are the coordinates of the midpoint of the line joining:
\((4,6) \text{ and } (6,12)\)
(1,9)
What is the gradient of the line joining:
\((8,8) \text{ and } (5,13)\)
\(\frac{5}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((2,2),(6,7),(3,6)\)
(1,11)
a) 9 − 17 = 8
b) 9 × (6) = 54
c) (5−14)(8−20) = 108
d) 54 ÷ (6) = 9
e) (9)^{2} = 81
If p = 5, q = 22 and
r = 7 evaluate:
a) 2q − p = 39
b) pq + r = 103
c) p^{2} − 5q  r = 78
Solve:
\(3x = 6\)
\(x = 2\)
Solve:
\(3x 1= 11\)
\(x = 4\)
Solve:
\(7x 2= 5x + 12\)
\(x = 7\)
Solve:
\(3(3x 2)+5= 44\)
\(x = 5\)
Solve:
\(3(5x + 4)= 4(5x + 4)\)
\(x = 0.8\)
Solve:
\(4x+4y = 20\)
\(5x4y = 2\)
\(x = 2, y = 3\)
Solve:
\(2x+3y = 32\)
\(4x9y = 26\)
\(x = 7, y = 6\)
Solve:
\(4x+4y = 8\)
\(2x+3y = 1\)
\(x = 5, y = 3\)
Find the union of:
{1,2,3,4,5} and
{5,6,7,8,9,10}
{1,2,3,4,5,6,7,8,9,10}
Find the intersection of:
{2,4,6,8,10} and
{1,3,5,7,9}
∅
A plane flies from point A to point B on a bearing of 180^{o}. What bearing would it return on from B to A? 360^{o}
A number is picked at random from the set
{6,7,8,9,10}
what is the probability it is even? \(\frac35\)
Evaluate:
(13 − 4)^{2} + 6 × 6
117
Simplify the following by collecting like terms:
\(6m+7+5m+8\)
\(11m+15\)
Divide 70 in the ratio
1:9
7 and 63
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:
21
3 x 7
In a sale an item costs £153 after a 15% 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.
0.717171... \(\frac{71}{99}\)
Decrease £180 by 15%
£153
Expand:
\(9(6x4)\)
\(54x36\)
Expand:
\((2x+3)(3x4)\)
\(6x^2+x12\)
Factorise:
\(3x24\)
\(3(1x8)\)
Factorise:
\(x^29\)
\((x+3)(x3)\)
Factorise:
\(4x^2+4x3\)
\((2x+3)(2x1)\)
Which theorem?
Find the value of:
7.86 × 10^{2}
= 0.0786
Write in standard form:
660000
= 6.6 × 10^{5}
Write in standard form:
0.000176
= 1.76 × 10^{4}
Find the n^{th} term:
\(10, 16, 24, 34, 46, \)
\(n^2+3n+6\)
Multiply 4 × 10^{3}
by 6 × 10^{4} and give the answer in standard form.
= 2.4 × 10^{8}
Solve:
\(x^2x20= 0\)
\(x = 5\) and \(4\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2x2 = 0\)
\(x = 0.740\) and \(0.540\)
What is the size of each exterior angle of a regular nonagon?
40°
Make \(d\) the subject of the formula
$$e=\frac{2c1}{3}$$
$$d=\frac{3e+1}{2}$$
Calculate the value of:
832 ÷ 2
= 416
What is the 9th:
a) Cube number; 729
b) Triangular number; 45
c) Fibonacci number. 34
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