What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13
Find all the factors of:
23
1, 23.
Subtract the 5th from the 8th multiples of:
11
33
What are the names of regular polygons with:
a) five sides;
b) six sides;
c) seven sides.
Pentagon, Hexagon and Heptagon (all regular)
Round to three significant figures:
a) 81.89; 81.9
b) 781621; 782000
c) 57; 57.0
d) 0.005795; 0.00580
Find the area of a triangle that has a base of 6cm and a height of 10cm.
30cm2
Find the area of a trapezium that has a base of 17cm, a height of 8cm and a top (parallel to base) of 7cm. 96cm2
Evaluate:
\( \frac{3}{6} + \frac{8}{9}\) \(= 1\frac{7}{18}\)
Evaluate:
\( \frac{2}{4} × \frac{6}{7}\) \(= \frac{3}{7}\)
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 to 3 significant figures.
\( \frac{1}{6}\) \(= 16.7\)%
Find the area of a circle that has a radius of 3cm. Give your answer to three significant figures.
28.3cm2
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:
7.6 + 5.8
= 13.4
Calculate the value of:
8.4 − 2.9
= 5.5
Calculate the value of:
9.7 × 8.5
= 82.45
Calculate the value of:
147.6 ÷ 18
= 8.2
What is the value of:
43
= 64
What is the value of:
\(3^{0}\)
\(= 1\)
Calculate the value of:
28 + 26
= 54
Calculate the value of:
84 − 25
= 59
Calculate the value of:
96 × 94
= 9024
Calculate the value of:
931 ÷ 19
= 49
Find the value of:
25% of 320
= 80
Find the value of:
7.17 × 103
= 7170
Find the highest common factor of twenty four and eight.
= 8
3 × 5 = 15 | 4 × 2 = 8 |
6 × 4 = 24 | 5 × 4 = 20 |
7 × 2 = 14 | 8 × 2 = 16 |
9 × 4 = 36 | 2 × 4 = 8 |
6 × 4 = 24 | 3 × 9 = 27 |
5 × 7 = 35 | 9 × 7 = 63 |
8 × 7 = 56 | 4 × 12 = 48 |
7 × 9 = 63 | 2 × 2 = 4 |
4 × 2 = 8 | 3 × 2 = 6 |
7 × 2 = 14 | 9 × 2 = 18 |
5 × 2 = 10 | 8 × 2 = 16 |
6 × 2 = 12 | 2 × 2 = 4 |
9 × 3 = 27 | 5 × 3 = 15 |
8 × 3 = 24 | 7 × 3 = 21 |
3 × 3 = 9 | 6 × 3 = 18 |
4 × 3 = 12 | 2 × 3 = 6 |
5 × 4 = 20 | 9 × 4 = 36 |
8 × 4 = 32 | 3 × 4 = 12 |
7 × 4 = 28 | 4 × 4 = 16 |
6 × 4 = 24 | 2 × 4 = 8 |
7 × 5 = 35 | 3 × 5 = 15 |
5 × 5 = 25 | 6 × 5 = 30 |
4 × 5 = 20 | 9 × 5 = 45 |
8 × 5 = 40 | 2 × 5 = 10 |
5 × 6 = 30 | 8 × 6 = 48 |
7 × 6 = 42 | 4 × 6 = 24 |
3 × 6 = 18 | 9 × 6 = 54 |
6 × 6 = 36 | 2 × 6 = 12 |
5 × 7 = 35 | 9 × 7 = 63 |
3 × 7 = 21 | 7 × 7 = 49 |
4 × 7 = 28 | 8 × 7 = 56 |
6 × 7 = 42 | 2 × 7 = 14 |
9 × 8 = 72 | 7 × 8 = 56 |
8 × 8 = 64 | 6 × 8 = 48 |
4 × 8 = 32 | 3 × 8 = 24 |
5 × 8 = 40 | 2 × 8 = 16 |
6 × 9 = 54 | 9 × 9 = 81 |
4 × 9 = 36 | 8 × 9 = 72 |
7 × 9 = 63 | 3 × 9 = 27 |
5 × 9 = 45 | 2 × 9 = 18 |
9 × 12 = 108 | 4 × 12 = 48 |
3 × 12 = 36 | 5 × 12 = 60 |
6 × 12 = 72 | 8 × 12 = 96 |
7 × 12 = 84 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{12}{18}\) \(= \frac{2}{3}\)
Evaluate:
\( 3\frac{1}{2} − \frac{3}{4}\) \(= 2\frac{3}{4}\)
Find BC if AB = 4.2m and AC = 5.9m. 7.24m
Find angle BCA if AC = 4.5m and BC = 5.6m. 36.5o
Find AC if angle ABC = 41o and BC = 5.6m. 3.67m
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.
\( \frac{5}{10}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.15\) = \( \frac{3}{20}\)
Increase £60 by 25%
£75
What is the lowest common multiple of eight and twenty four.
= 24
2,9,16,23,30...
Find the:
a) next term; 37
b) nth term; 7n - 5
c) term number 48; 331
6,24,96,384,1536...
Find the:
a) next term; 6144
b) nth term; 6 × 4n-1
c) term number 10; 1572864
If £180 is invested for 4 years with a simple interest rate of 1%, find the amount of interest earned. £7.20
If £100 is invested with an interest rate of 5% compounded annually, find the value of the investment after 8 years. £147.75
If £1 is worth $1.29, convert:
a) £160 to dollars; $206.40
b) $180 to pounds; £139.53
What are the coordinates of the midpoint of the line joining:
\((-6,5) \text{ and } (4,13)\)
(-1,9)
What is the gradient of the line joining:
\((-8,4) \text{ and } (-2,10)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,2),(10,7),(0,7)\)
(5,12)
a) 10 − 15 = -5
b) 10 × (-12) = -120
c) (6−17)(6−18) = 132
d) 120 ÷ (-12) = -10
e) (-10)2 = 100
If p = 6, q = 21 and
r = -12 evaluate:
a) 2q − p = 36
b) pq + r = 114
c) p2 − 5q - r = -57
Solve:
\(3x = 12\)
\(x = 4\)
Solve:
\(2x +8= 14\)
\(x = 3\)
Solve:
\(4x -5= 3x + -2\)
\(x = 3\)
Solve:
\(4(4x -4)-6= 122\)
\(x = 9\)
Solve:
\(5(3x + 5)= 3(4x + 2)\)
\(x = -6.33 \text{(to 3 sf)}\)
Solve:
\(6x-2y = 20\)
\(5x+2y = 35\)
\(x = 5, y = 5\)
Solve:
\(2x+3y = 25\)
\(5x+6y = 55\)
\(x = 5, y = 5\)
Solve:
\(3x+2y = 1.5\)
\(5x+7y = 35.5\)
\(x = -5.5, y = 9\)
Find the union of:
{5,6,7,8,9,10} and
{2,3,5,7,11,13}
{2,3,5,6,7,8,9,10,11,13}
Find the intersection of:
{5,6,7,8,9,10} and
{2,3,5,7,11,13}
{5,7}
A plane flies from point A to point B on a bearing of 179o. What bearing would it return on from B to A? 359o
A number is picked at random from the set
{1,3,6,10,15}
what is the probability it is even? \(\frac25\)
Evaluate:
72 − 9 × 2 + 3
34
Simplify the following by collecting like terms:
\(3n+7−2n+8\)
\(n+15\)
Divide 45 in the ratio
7:2
35 and 10
Draw a rough sketch of the graph of:
\(y=x+1\)
Gradient 1
y intercept 1
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 £30 after a 25% reduction. What was the original price?
£40
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.
0.545454... \(\frac{6}{11}\)
Decrease £40 by 40%
£24
Expand:
\(6(2x-2)\)
\(12x-12\)
Expand:
\((3x+4)(x-2)\)
\(3x^2-2x-8\)
Factorise:
\(8x-8\)
\(8(x-1)\)
Factorise:
\(x^2-2x-8\)
\((x+2)(x-4)\)
Factorise:
\(15x^2-7x-4\)
\((3x+1)(5x-4)\)
Which theorem?
Find the value of:
8.63 × 10-5
= 0.0000863
Write in standard form:
7670
= 7.67 × 103
Write in standard form:
0.0000333
= 3.33 × 10-5
Find the nth term:
\(5, 20, 41, 68, 101, \)
\(3n^2+6n-4\)
Multiply 5 × 103
by 9 × 103 and give the answer in standard form.
= 4.5 × 107
Solve:
\(x^2-2x-15= 0\)
\(x = 5\) and \(-3\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2-2x-5 = 0\)
\(x = 1.40\) and \(-0.896\)
What is the size of each interior angle of a regular nonagon?
140°
Make \(h\) the subject of the formula
$$e=\frac{h}{4}-5$$
$$h=4(e+5)$$
Calculate the value of:
2826 ÷ 3
= 942
What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89
What are the three largest square numbers less than
121
100, 81, 64
What is the 12th prime number?
37
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: 0.22, 2, 2.22, 2.2, 2.02, 0.2, 0.02, in ascending order.
0.02, 0.2, 0.22, 2, 2.02, 2.2, 2.22,
Write down these lengths: 1.8m, 107cm, 17cm, 18mm, 1.08m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 18cl, 17cl, 200ml, 173ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
b = 52
a = 132
Round to one significant figure:
a) 13.08; 10
b) 128195; 100000
c) 56; 60
d) 0.00212; 0.002
Round each value to one significant figure to make an estimate:$$6.7 \times 62 - 193$$\(7 \times 60 - 200 = 220\)
A pie chart shows the colours of 20 books. What sector angle represents the
14 red books?
252°
What is the equation?
\(y=x+3\)A pie chart shows the colours of 8 hats. How many green hats are represented
by a sector
angle of 90°?
2
Simplify:
$$\sqrt{27}$$
\(3\sqrt{3}\)
Simplify:
$$\dfrac{9}{\sqrt{6}}$$\(\frac{9\sqrt{6}}{6} = \frac{3\sqrt{6}}{2}\)
Simplify:
$$\dfrac{6}{5 + \sqrt{2}}$$\(\frac{30 - 6\sqrt{2}}{23}\)
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