What is the 11th:
a) Odd number; 21
b) Square number; 121
c) Prime number. 31
Find all the factors of:
27
1, 3, 9, 27.
Subtract the 7th from the 12th multiples of:
12
60
What are the names of regular polygons with:
a) eight sides;
b) nine sides;
c) ten sides.
Octagon, Nonagon and Decagon (all regular)
Round to three significant figures:
a) 43.69; 43.7
b) 453279; 453000
c) 45; 45.0
d) 0.004595; 0.00460
Find the area of a triangle that has a base of 7cm and a height of 11cm.
38.5cm2
Find the area of a trapezium that has a base of 15cm, a height of 10cm and a top (parallel to base) of 7cm. 110cm2
Evaluate:
\( \frac{3}{4} + \frac{7}{10}\) \(= 1\frac{9}{20}\)
Evaluate:
\( \frac{1}{2} × \frac{3}{5}\) \(= \frac{3}{10}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{4}{3}\) \(= \frac{3}{8}\)
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 10cm. Give your answer to three significant figures.
314cm2
Find the circumference of a circle that has a radius of 10cm. Give your answer to three significant figures.
62.8cm
Calculate the value of:
6.8 + 8.6
= 15.4
Calculate the value of:
7.2 − 3.8
= 3.4
Calculate the value of:
4.2 × 3.7
= 15.54
Calculate the value of:
120 ÷ 16
= 7.5
What is the value of:
53
= 125
What is the value of:
\(64^{\frac{1}{3}}\)
\(= 4\)
Calculate the value of:
86 + 96
= 182
Calculate the value of:
61 − 25
= 36
Calculate the value of:
87 × 34
= 2958
Calculate the value of:
1786 ÷ 19
= 94
Find the value of:
95% of 120
= 114
Find the value of:
1.11 × 102
= 111
Find the highest common factor of forty-five and twenty.
= 5
7 × 2 = 14 | 6 × 5 = 30 |
4 × 5 = 20 | 5 × 3 = 15 |
3 × 4 = 12 | 9 × 2 = 18 |
8 × 5 = 40 | 2 × 4 = 8 |
6 × 8 = 48 | 3 × 7 = 21 |
4 × 10 = 40 | 9 × 9 = 81 |
5 × 10 = 50 | 8 × 11 = 88 |
7 × 8 = 56 | 2 × 3 = 6 |
7 × 2 = 14 | 6 × 2 = 12 |
3 × 2 = 6 | 4 × 2 = 8 |
8 × 2 = 16 | 9 × 2 = 18 |
5 × 2 = 10 | 2 × 2 = 4 |
4 × 3 = 12 | 9 × 3 = 27 |
5 × 3 = 15 | 3 × 3 = 9 |
6 × 3 = 18 | 8 × 3 = 24 |
7 × 3 = 21 | 2 × 3 = 6 |
5 × 4 = 20 | 9 × 4 = 36 |
3 × 4 = 12 | 6 × 4 = 24 |
8 × 4 = 32 | 4 × 4 = 16 |
7 × 4 = 28 | 2 × 4 = 8 |
9 × 5 = 45 | 8 × 5 = 40 |
5 × 5 = 25 | 6 × 5 = 30 |
4 × 5 = 20 | 3 × 5 = 15 |
7 × 5 = 35 | 2 × 5 = 10 |
8 × 6 = 48 | 6 × 6 = 36 |
7 × 6 = 42 | 3 × 6 = 18 |
9 × 6 = 54 | 5 × 6 = 30 |
4 × 6 = 24 | 2 × 6 = 12 |
7 × 7 = 49 | 5 × 7 = 35 |
6 × 7 = 42 | 8 × 7 = 56 |
3 × 7 = 21 | 9 × 7 = 63 |
4 × 7 = 28 | 2 × 7 = 14 |
8 × 8 = 64 | 9 × 8 = 72 |
4 × 8 = 32 | 5 × 8 = 40 |
6 × 8 = 48 | 3 × 8 = 24 |
7 × 8 = 56 | 2 × 8 = 16 |
7 × 9 = 63 | 6 × 9 = 54 |
3 × 9 = 27 | 8 × 9 = 72 |
4 × 9 = 36 | 9 × 9 = 81 |
5 × 9 = 45 | 2 × 9 = 18 |
4 × 12 = 48 | 8 × 12 = 96 |
6 × 12 = 72 | 9 × 12 = 108 |
7 × 12 = 84 | 3 × 12 = 36 |
5 × 12 = 60 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{9}{12}\) \(= \frac{3}{4}\)
Evaluate:
\( 3\frac{1}{2} − \frac{3}{4}\) \(= 2\frac{3}{4}\)
Find BC if AB = 3.7m and AC = 5.6m. 6.71m
Find angle ABC if AB = 4.3m and BC = 5.3m. 35.8o
Find BC if angle BCA = 48o and AB = 3.1m. 4.17m
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.
\( \frac{2}{6}\) \(= 0.333\)
Convert this decimal to a fraction.
\(0.56\) = \( \frac{14}{25}\)
Increase £80 by 5%
£84
What is the lowest common multiple of twenty and thirty.
= 60
3,12,21,30,39...
Find the:
a) next term; 48
b) nth term; 9n - 6
c) term number 54; 480
7,28,112,448,1792...
Find the:
a) next term; 7168
b) nth term; 7 × 4n-1
c) term number 12; 29360128
If £200 is invested for 9 years with a simple interest rate of 2%, find the amount of interest earned. £36.00
If £160 is invested with an interest rate of 4% compounded annually, find the value of the investment after 5 years. £194.66
If £1 is worth $1.25, convert:
a) £220 to dollars; $275.00
b) $100 to pounds; £80.00
What are the coordinates of the midpoint of the line joining:
\((-2,9) \text{ and } (8,21)\)
(3,15)
What is the gradient of the line joining:
\((-5,-9) \text{ and } (0,-5)\)
\(\frac{4}{5}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((1,1),(6,4),(-2,6)\)
(3,9)
a) 7 − 19 = -12
b) 7 × (-5) = -35
c) (8−20)(8−20) = 144
d) 35 ÷ (-5) = -7
e) (-10)2 = 100
If p = 5, q = 24 and
r = -7 evaluate:
a) 2q − p = 43
b) pq + r = 113
c) p2 − 5q - r = -88
Solve:
\(2x = 18\)
\(x = 9\)
Solve:
\(4x -2= 22\)
\(x = 6\)
Solve:
\(5x +6= 4x + 10\)
\(x = 4\)
Solve:
\(5(2x -3)-8= 57\)
\(x = 8\)
Solve:
\(2(3x + 5)= 4(5x + 4)\)
\(x = -0.429 \text{(to 3 sf)}\)
Solve:
\(2x-3y = -2\)
\(4x+3y = 14\)
\(x = 2, y = 2\)
Solve:
\(2x+2y = 12\)
\(7x+4y = 33\)
\(x = 3, y = 3\)
Solve:
\(5x-3y = 10\)
\(3x+2y = 15.5\)
\(x = 3.5, y = 2.5\)
Find the union of:
{1,2,3,4,5} and
{6,7,8,9,10}
{1,2,3,4,5,6,7,8,9,10}
Find the intersection of:
{1,2,3,4,5} and
{2,4,6,8,10}
{2,4}
A plane flies from point A to point B on a bearing of 259o. What bearing would it return on from B to A? 079o
A number is picked at random from the set
{3,4,5,6,7,8}
what is the probability it is even? \(\frac12\)
Evaluate:
36 ÷ 9 × 28 ÷ 4
28
Simplify the following by collecting like terms:
\(6m+7+5m+8\)
\(11m+15\)
Divide 126 in the ratio
8:6
72 and 54
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:
90
2 x 3 x 3 x 5
In a sale an item costs £126 after a 10% reduction. What was the original price?
£140
Find the mean, mode, median and range of the following:
2,4,6,8,10
Mean = 6, no mode,
median = 6 and range = 8
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.373737... \(\frac{37}{99}\)
Decrease £140 by 30%
£98
Expand:
\(7(6x-4)\)
\(42x-28\)
Expand:
\((3x+2)(x-4)\)
\(3x^2-10x-8\)
Factorise:
\(4x-4\)
\(4(x-1)\)
Factorise:
\(x^2-x-12\)
\((x+3)(x-4)\)
Factorise:
\(12x^2+13x-4\)
\((3x+4)(4x-1)\)
Which theorem?
Find the value of:
4.67 × 10-5
= 0.0000467
Write in standard form:
31400
= 3.14 × 104
Write in standard form:
0.0000253
= 2.53 × 10-5
Find the nth term:
\(-3, 7, 21, 39, 61, \)
\(2n^2+4n-9\)
Multiply 8 × 102
by 5 × 102 and give the answer in standard form.
= 4 × 105
Solve:
\(x^2-x-20= 0\)
\(x = 5\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2-3x-4 = 0\)
\(x = 1.44\) and \(-0.693\)
What is the size of each exterior angle of a regular heptagon?
51.4°
Make \(d\) the subject of the formula
$$e=\frac{2d-1}{3}$$
$$d=\frac{3e+1}{2}$$
Calculate the value of:
5418 ÷ 7
= 774
What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8
What is the square root of
100
10
What is the difference between the 8th and the 9th prime numbers?
23 - 19 = 4
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: 3.33, 0.33, 3, 3.3, 3.03, 0.3, 0.03, in ascending order.
0.03, 0.3, 0.33, 3, 3.03, 3.3, 3.33,
Write down these lengths: 17cm, 18mm, 107cm, 1.08m, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 18cl, 17cl, 21cl, 173ml, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
b = 52
d = 91
Round to one significant figure:
a) 76.92; 80
b) 535241; 500000
c) 69; 70
d) 0.00179; 0.002
Round each value to one significant figure to make an estimate:$$3.9 \times 72 - 194$$\(4 \times 70 - 200 = 80\)
A pie chart shows the colours of 45 books. What sector angle represents the
18 red books?
144°
What is the equation?
\(y=0.5x\)A pie chart shows the colours of 12 hats. How many green hats are represented
by a sector
angle of 90°?
3
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