What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11
Find all the factors of:
42
1, 2, 3, 6, 7, 14, 21, 42.
Subtract the 4th from the 9th multiples of:
12
60
What are the names of regular polygons with:
a) five sides;
b) six sides;
c) seven sides.
Pentagon, Hexagon and Heptagon (all regular)
Round the following numbers to three significant figures:
a) 50.77; 50.8
b) 537860; 538000
c) 0.005895; 0.00590
Find the area of a triangle that has a base of 3cm and a height of 8cm.
12cm^{2}
Find the area of a trapezium that has a base of 12cm, a height of 6cm and a top (parallel to base) of 4cm. 48cm^{2}
Evaluate:
\( \frac{1}{2} + \frac{5}{7}\) \(= 1\frac{3}{14}\)
Evaluate:
\( \frac{1}{2} × \frac{3}{4}\) \(= \frac{3}{8}\)
Evaluate:
\( \frac{3}{5} ÷ \frac{8}{6}\) \(= \frac{9}{20}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{3}{5}\) \(= 60\)%
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
Calculate the value of:
5.6 + 6.8
= 12.4
Calculate the value of:
6.4 − 2.5
= 3.9
Calculate the value of:
3.8 × 4.4
= 16.72
Calculate the value of:
30 ÷ 12
= 2.5
What is the value of:
3^{3}
= 27
What is the value of:
\(4^{1}\)
\(= \frac{1}{4}\)
Calculate the value of:
99 + 57
= 156
Calculate the value of:
63 − 26
= 37
Calculate the value of:
93 × 96
= 8928
Calculate the value of:
1598 ÷ 17
= 94
Find the value of:
60% of 140
= 84
Find the value of:
1.26 × 10^{4}
= 12600
Find the highest common factor of twenty seven and six.
= 3
7 × 3 = 21  3 × 4 = 12 
6 × 2 = 12  9 × 5 = 45 
5 × 5 = 25  8 × 5 = 40 
4 × 4 = 16  2 × 3 = 6 
4 × 11 = 44  7 × 6 = 42 
9 × 12 = 108  8 × 3 = 24 
5 × 10 = 50  6 × 8 = 48 
3 × 7 = 21  2 × 8 = 16 
8 × 2 = 16  3 × 2 = 6 
5 × 2 = 10  6 × 2 = 12 
7 × 2 = 14  4 × 2 = 8 
9 × 2 = 18  2 × 2 = 4 
4 × 3 = 12  8 × 3 = 24 
5 × 3 = 15  7 × 3 = 21 
9 × 3 = 27  3 × 3 = 9 
6 × 3 = 18  2 × 3 = 6 
6 × 4 = 24  9 × 4 = 36 
5 × 4 = 20  3 × 4 = 12 
4 × 4 = 16  7 × 4 = 28 
8 × 4 = 32  2 × 4 = 8 
6 × 5 = 30  3 × 5 = 15 
7 × 5 = 35  5 × 5 = 25 
9 × 5 = 45  8 × 5 = 40 
4 × 5 = 20  2 × 5 = 10 
8 × 6 = 48  3 × 6 = 18 
7 × 6 = 42  6 × 6 = 36 
5 × 6 = 30  9 × 6 = 54 
4 × 6 = 24  2 × 6 = 12 
5 × 7 = 35  7 × 7 = 49 
9 × 7 = 63  6 × 7 = 42 
4 × 7 = 28  3 × 7 = 21 
8 × 7 = 56  2 × 7 = 14 
6 × 8 = 48  7 × 8 = 56 
3 × 8 = 24  4 × 8 = 32 
5 × 8 = 40  9 × 8 = 72 
8 × 8 = 64  2 × 8 = 16 
5 × 9 = 45  3 × 9 = 27 
6 × 9 = 54  8 × 9 = 72 
9 × 9 = 81  7 × 9 = 63 
4 × 9 = 36  2 × 9 = 18 
4 × 12 = 48  6 × 12 = 72 
7 × 12 = 84  3 × 12 = 36 
8 × 12 = 96  9 × 12 = 108 
5 × 12 = 60  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{5}{15}\) \(= \frac{1}{3}\)
Evaluate:
\( 1\frac{4}{5} − \frac{8}{9}\) \(= \frac{41}{45}\)
Find AC if AB = 4.2m and BC = 5.3m. 3.23m
Find angle BCA if AB = 3.3m and AC = 5.1m. 32.9^{o}
Find AC if angle ABC = 34^{o} and BC = 3.1m. 1.73m
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.
\( \frac{2}{4}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.6\) = \( \frac{3}{5}\)
Increase £120 by 10%
£132
What is the lowest common multiple of twenty and thirty five.
= 140
4,14,24,34,44...
Find the:
a) next term; 54
b) n^{th} term; 10n  6
c) term number 54; 534
5,10,20,40,80...
Find the:
a) next term; 160
b) n^{th} term; 5 × 2^{n1}
c) term number 9; 1280
If £180 is invested for 7 years with a simple interest rate of 4%, find the amount of interest earned. £50.40
If £120 is invested with an interest rate of 1% compounded annually, find the value of the investment after 7 years. £128.66
If £1 is worth $1.25, convert:
a) £140 to dollars; $175.00
b) $120 to pounds; £96.00
What are the coordinates of the midpoint of the line joining:
\((2,9) \text{ and } (12,15)\)
(7,12)
What is the gradient of the line joining:
\((4,4) \text{ and } (10,1)\)
\(\frac{1}{2}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((1,5),(6,9),(3,10)\)
(2,14)
a) 12 − 23 = 11
b) 12 × (7) = 84
c) (12−24)(6−15) = 108
d) 84 ÷ (7) = 12
e) (11)^{2} = 121
If p = 5, q = 28 and
r = 7 evaluate:
a) 2q − p = 51
b) pq + r = 133
c) p^{2} − 5q  r = 108
Solve:
\(3x = 6\)
\(x = 2\)
Solve:
\(4x +2= 38\)
\(x = 9\)
Solve:
\(6x +3= 2x + 35\)
\(x = 8\)
Solve:
\(4(3x 5)12= 76\)
\(x = 9\)
Solve:
\(3(2x + 4)= 2(5x + 3)\)
\(x = 1.5\)
Solve:
\(6x5y = 0\)
\(5x+5y = 55\)
\(x = 5, y = 6\)
Solve:
\(4x+4y = 40\)
\(6x16y = 6\)
\(x = 7, y = 3\)
Solve:
\(3x+2y = 16.5\)
\(5x7y = 19\)
\(x = 2.5, y = 4.5\)
Find the union of:
{6,7,8,9,10} and
{5,6,7,8,9,10}
{5,6,7,8,9,10}
Find the intersection of:
{2,4,6,8,10} and
{5,6,7,8,9,10}
{6,8,10}
A plane flies from point A to point B on a bearing of 258^{o}. What bearing would it return on from B to A? 078^{o}
A number is picked at random from the set
{6,7,8,9,10}
what is the probability it is even? \(\frac35\)
Evaluate:
2 + (7 × 9^{2} − 9)
560
Simplify the following by collecting like terms:
\(3y+2w+7y\)
\(10y+2w\)
Divide 108 in the ratio
3:9
27 and 81
Draw a rough sketch of the graph of:
\(2y=x+2\)
Gradient 0.5
y intercept 1
Express the following number as the product of prime numbers:
18
2 x 3 x 3
In a sale an item costs £17 after a 15% reduction. What was the original price?
£20
Find the mean, mode, median and range of the following:
1,2,3,4,5
Mean = 3, no mode,
median = 3 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.595959... \(\frac{59}{99}\)
Decrease £120 by 35%
£78
Expand:
\(7(4x8)\)
\(28x56\)
Expand:
\((2x+3)(4x3)\)
\(8x^2+6x9\)
Factorise:
\(6x4\)
\(2(3x2)\)
Factorise:
\(x^2x6\)
\((x+2)(x3)\)
Factorise:
\(5x^2+6x8\)
\((x+2)(5x4)\)
Which theorem?
Find the value of:
5.35 × 10^{4}
= 0.000535
Write in standard form:
3670000
= 3.67 × 10^{6}
Write in standard form:
0.0177
= 1.77 × 10^{2}
Find the n^{th} term:
\(12, 23, 40, 63, 92, \)
\(3n^2+2n+7\)
Multiply 4 × 10^{3}
by 5 × 10^{6} and give the answer in standard form.
= 2 × 10^{10}
Solve:
\(x^2+2x8= 0\)
\(x = 2\) and \(4\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+4x3 = 0\)
\(x = 0.535\) and \(1.87\)
What is the size of each exterior angle of a regular decagon?
36°
Make \(c\) the subject of the formula
$$d=\frac{3c+1}{2}$$
$$c=\frac{2d1}{3}$$
Calculate the value of:
2212 ÷ 7
= 316
What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89
What is the difference between the 4th and the 5th square numbers?
9
What is the difference between the 10th and the 11th prime numbers?
31  29 = 2
Write down something you learnt in the previous mathematics lesson.
Write down something you learnt in one of the mathematics lessons last week.
Calculate \(x\).
Write down these numbers: 0.55, 5.5, 5, 0.5, 5.05, 5.55, 0.05, in ascending order.
0.05, 0.5, 0.55, 5, 5.05, 5.5, 5.55,
Write down these lengths: 17cm, 107cm, 1.8m, 18mm, 1.08m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 173ml, 21cl, 18cl, 17cl, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
d = 99
g = 122
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