What is the 11th:
a) Odd number; 21
b) Square number; 121
c) Prime number. 31
Find all the factors of:
35
1, 5, 7, 35.
Subtract the 6th from the 10th multiples of:
11
44
What are the names of regular polygons with:
a) three sides;
b) four sides;
c) five sides.
Equilateral Triangle, Square and Pentagon (all regular)
Round to three significant figures:
a) 76.86; 76.9
b) 502731; 503000
c) 71; 71.0
d) 0.007195; 0.00720
Find the area of a triangle that has a base of 5cm and a height of 10cm.
25cm2
Find the area of a trapezium that has a base of 16cm, a height of 11cm and a top (parallel to base) of 6cm. 121cm2
Evaluate:
\( \frac{1}{4} + \frac{5}{8}\) \(= \frac{7}{8}\)
Evaluate:
\( \frac{1}{2} × \frac{3}{5}\) \(= \frac{3}{10}\)
Evaluate:
\( \frac{1}{3} ÷ \frac{6}{5}\) \(= \frac{5}{18}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{4}{8}\) \(= 50\)%
Find the area of a circle that has a radius of 4cm. Give your answer to three significant figures.
50.3cm2
Find the circumference of a circle that has a radius of 12cm. Give your answer to three significant figures.
75.4cm
Calculate the value of:
4.9 + 5.7
= 10.6
Calculate the value of:
8.3 − 2.8
= 5.5
Calculate the value of:
8.2 × 4.6
= 37.72
Calculate the value of:
41.4 ÷ 18
= 2.3
What is the value of:
12
= 1
What is the value of:
\(16^{\frac{1}{2}}\)
\(= 4\)
Calculate the value of:
39 + 28
= 67
Calculate the value of:
53 − 25
= 28
Calculate the value of:
86 × 46
= 3956
Calculate the value of:
1014 ÷ 13
= 78
Find the value of:
45% of 240
= 108
Find the value of:
8.48 × 102
= 848
Find the highest common factor of twenty eight and twenty.
= 4
9 × 4 = 36 | 6 × 3 = 18 |
3 × 3 = 9 | 8 × 5 = 40 |
5 × 4 = 20 | 7 × 4 = 28 |
4 × 2 = 8 | 2 × 2 = 4 |
7 × 7 = 49 | 8 × 10 = 80 |
5 × 9 = 45 | 4 × 8 = 32 |
3 × 5 = 15 | 6 × 10 = 60 |
9 × 3 = 27 | 2 × 10 = 20 |
8 × 2 = 16 | 3 × 2 = 6 |
9 × 2 = 18 | 6 × 2 = 12 |
7 × 2 = 14 | 5 × 2 = 10 |
4 × 2 = 8 | 2 × 2 = 4 |
9 × 3 = 27 | 4 × 3 = 12 |
5 × 3 = 15 | 7 × 3 = 21 |
8 × 3 = 24 | 3 × 3 = 9 |
6 × 3 = 18 | 2 × 3 = 6 |
9 × 4 = 36 | 7 × 4 = 28 |
8 × 4 = 32 | 3 × 4 = 12 |
5 × 4 = 20 | 4 × 4 = 16 |
6 × 4 = 24 | 2 × 4 = 8 |
8 × 5 = 40 | 6 × 5 = 30 |
5 × 5 = 25 | 4 × 5 = 20 |
3 × 5 = 15 | 7 × 5 = 35 |
9 × 5 = 45 | 2 × 5 = 10 |
4 × 6 = 24 | 5 × 6 = 30 |
3 × 6 = 18 | 7 × 6 = 42 |
9 × 6 = 54 | 8 × 6 = 48 |
6 × 6 = 36 | 2 × 6 = 12 |
3 × 7 = 21 | 5 × 7 = 35 |
8 × 7 = 56 | 4 × 7 = 28 |
6 × 7 = 42 | 7 × 7 = 49 |
9 × 7 = 63 | 2 × 7 = 14 |
6 × 8 = 48 | 3 × 8 = 24 |
5 × 8 = 40 | 9 × 8 = 72 |
8 × 8 = 64 | 7 × 8 = 56 |
4 × 8 = 32 | 2 × 8 = 16 |
9 × 9 = 81 | 8 × 9 = 72 |
6 × 9 = 54 | 5 × 9 = 45 |
7 × 9 = 63 | 3 × 9 = 27 |
4 × 9 = 36 | 2 × 9 = 18 |
6 × 12 = 72 | 5 × 12 = 60 |
3 × 12 = 36 | 7 × 12 = 84 |
4 × 12 = 48 | 8 × 12 = 96 |
9 × 12 = 108 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{3}{12}\) \(= \frac{1}{4}\)
Evaluate:
\( 2\frac{3}{4} − \frac{7}{8}\) \(= 1\frac{7}{8}\)
Find AC if AB = 4.2m and BC = 5.7m. 3.85m
Find angle ABC if AB = 4.5m and BC = 6m. 41.4o
Find AC if angle ABC = 29o and BC = 3.6m. 1.75m
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.
\( \frac{4}{6}\) \(= 0.667\)
Convert this decimal to a fraction.
\(0.4\) = \( \frac{2}{5}\)
Increase £180 by 20%
£216
What is the lowest common multiple of twenty and thirty five.
= 140
4,12,20,28,36...
Find the:
a) next term; 44
b) nth term; 8n - 4
c) term number 53; 420
6,24,96,384,1536...
Find the:
a) next term; 6144
b) nth term; 6 × 4n-1
c) term number 8; 98304
If £100 is invested for 4 years with a simple interest rate of 2%, find the amount of interest earned. £8.00
If £240 is invested with an interest rate of 5% compounded annually, find the value of the investment after 7 years. £337.70
If £1 is worth $1.23, convert:
a) £100 to dollars; $123.00
b) $240 to pounds; £195.12
What are the coordinates of the midpoint of the line joining:
\((8,-2) \text{ and } (14,6)\)
(11,2)
What is the gradient of the line joining:
\((-6,6) \text{ and } (-2,10)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((3,3),(8,7),(-1,8)\)
(4,12)
a) 11 − 17 = -6
b) 11 × (-8) = -88
c) (10−17)(10−16) = 42
d) 88 ÷ (-8) = -11
e) (-9)2 = 81
If p = 5, q = 22 and
r = -11 evaluate:
a) 2q − p = 39
b) pq + r = 99
c) p2 − 5q - r = -74
Solve:
\(5x = 35\)
\(x = 7\)
Solve:
\(3x -3= 15\)
\(x = 6\)
Solve:
\(9x -3= 6x + 24\)
\(x = 9\)
Solve:
\(2(2x -6)+10= 14\)
\(x = 4\)
Solve:
\(5(5x + 2)= 3(4x + 3)\)
\(x = -0.0769 \text{(to 3 sf)}\)
Solve:
\(2x-4y = -14\)
\(4x-4y = -4\)
\(x = 5, y = 6\)
Solve:
\(3x-5y = 1\)
\(6x-15y = -18\)
\(x = 7, y = 4\)
Solve:
\(3x+2y = 27.5\)
\(5x-7y = -42\)
\(x = 3.5, y = 8.5\)
Find the union of:
{6,7,8,9,10} and
{1,3,6,10,15}
{1,3,6,7,8,9,10,15}
Find the intersection of:
{5,6,7,8,9,10} and
{3,6,9,12,15}
{6,9}
A plane flies from point A to point B on a bearing of 022o. What bearing would it return on from B to A? 202o
A number is picked at random from the set
{2,6,12}
what is the probability it is even? 1
Evaluate:
6 + 8 × 6 − 4
50
Simplify the following by collecting like terms:
\(3y+2w+7y\)
\(10y+2w\)
Divide 195 in the ratio
9:4
135 and 60
Draw a rough sketch of the graph of:
\(2y=x\)
Gradient 0.5
y intercept 0
Express the following number as the product of prime numbers:
72
2 x 2 x 2 x 3 x 3
In a sale an item costs £15 after a 25% 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.
0.353535... \(\frac{35}{99}\)
Decrease £40 by 10%
£36
Expand:
\(5(4x-7)\)
\(20x-35\)
Expand:
\((3x+1)(3x-3)\)
\(9x^2-6x-3\)
Factorise:
\(10x-5\)
\(5(2x-1)\)
Factorise:
\(x^2+2x-3\)
\((x+3)(x-1)\)
Factorise:
\(2x^2+3x-2\)
\((x+2)(2x-1)\)
Which theorem?
Find the value of:
2.56 × 10-3
= 0.00256
Write in standard form:
8060
= 8.06 × 103
Write in standard form:
0.000405
= 4.05 × 10-4
Find the nth term:
\(2, 14, 30, 50, 74, \)
\(2n^2+6n-6\)
Multiply 9 × 104
by 6 × 104 and give the answer in standard form.
= 5.4 × 109
Solve:
\(x^2+2x-15= 0\)
\(x = 3\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+2x-2 = 0\)
\(x = 0.549\) and \(-1.22\)
What is the size of each exterior angle of a regular pentagon?
72°
Make \(k\) the subject of the formula
$$c=\frac{a(2+k)}{b}$$
$$k=\frac{bc}{a}-2$$
Calculate the value of:
3096 ÷ 6
= 516
What is the 8th:
a) Cube number; 512
b) Triangular number; 36
c) Fibonacci number. 21
What are the next three square numbers after
9
16, 25, 36
What are the three largest prime numbers less than
37
31, 29, 23
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: 5, 0.55, 5.05, 0.5, 5.5, 5.55, 0.05, in ascending order.
0.05, 0.5, 0.55, 5, 5.05, 5.5, 5.55,
Write down these lengths: 18mm, 107cm, 1.8m, 1.08m, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 17cl, 173ml, 18cl, 21cl, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
f = 132
h = 75
Round to one significant figure:
a) 62.15; 60
b) 861957; 900000
c) 56; 60
d) 0.00287; 0.003
Round each value to one significant figure to make an estimate:$$3.7 \times 91 - 161$$\(4 \times 90 - 200 = 160\)
A pie chart shows the colours of 36 books. What sector angle represents the
20 red books?
200°
What is the equation?
\(y=5\)A pie chart shows the colours of 72 hats. How many green hats are represented
by a sector
angle of 55°?
11
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