What is the 11th:
a) Odd number; 21
b) Square number; 121
c) Prime number. 31
Find all the factors of:
46
1, 2, 23, 46.
Subtract the 5th from the 9th multiples of:
5
20
What are the names of regular polygons with:
a) six sides;
b) seven sides;
c) eight sides.
Hexagon, Heptagon and Octagon (all regular)
Round to three significant figures:
a) 44.51; 44.5
b) 924932; 925000
c) 67; 67.0
d) 0.006795; 0.00680
Find the area of a triangle that has a base of 5cm and a height of 8cm.
20cm2
Find the area of a trapezium that has a base of 12cm, a height of 7cm and a top (parallel to base) of 6cm. 63cm2
Evaluate:
\( \frac{4}{5} + \frac{7}{9}\) \(= 1\frac{26}{45}\)
Evaluate:
\( \frac{3}{4} × \frac{5}{7}\) \(= \frac{15}{28}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{7}{5}\) \(= \frac{10}{21}\)
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.
\( \frac{5}{9}\) \(= 55.6\)%
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 10cm. Give your answer to three significant figures.
62.8cm
Calculate the value of:
3.5 + 4.9
= 8.4
Calculate the value of:
9.3 − 3.5
= 5.8
Calculate the value of:
7.4 × 7.4
= 54.76
Calculate the value of:
64.8 ÷ 18
= 3.6
What is the value of:
42
= 16
What is the value of:
\(3^{1}\)
\(= 3\)
Calculate the value of:
78 + 37
= 115
Calculate the value of:
51 − 26
= 25
Calculate the value of:
53 × 63
= 3339
Calculate the value of:
1804 ÷ 22
= 82
Find the value of:
55% of 260
= 143
Find the value of:
5.75 × 103
= 5750
Find the highest common factor of twenty four and twelve.
= 12
4 × 5 = 20 | 6 × 3 = 18 |
5 × 2 = 10 | 9 × 4 = 36 |
8 × 5 = 40 | 7 × 2 = 14 |
3 × 2 = 6 | 2 × 3 = 6 |
7 × 4 = 28 | 9 × 8 = 72 |
4 × 8 = 32 | 5 × 12 = 60 |
8 × 11 = 88 | 3 × 4 = 12 |
6 × 3 = 18 | 2 × 10 = 20 |
3 × 2 = 6 | 5 × 2 = 10 |
6 × 2 = 12 | 4 × 2 = 8 |
7 × 2 = 14 | 8 × 2 = 16 |
9 × 2 = 18 | 2 × 2 = 4 |
7 × 3 = 21 | 4 × 3 = 12 |
9 × 3 = 27 | 6 × 3 = 18 |
5 × 3 = 15 | 3 × 3 = 9 |
8 × 3 = 24 | 2 × 3 = 6 |
8 × 4 = 32 | 7 × 4 = 28 |
3 × 4 = 12 | 4 × 4 = 16 |
5 × 4 = 20 | 6 × 4 = 24 |
9 × 4 = 36 | 2 × 4 = 8 |
9 × 5 = 45 | 3 × 5 = 15 |
4 × 5 = 20 | 7 × 5 = 35 |
6 × 5 = 30 | 8 × 5 = 40 |
5 × 5 = 25 | 2 × 5 = 10 |
5 × 6 = 30 | 7 × 6 = 42 |
3 × 6 = 18 | 6 × 6 = 36 |
4 × 6 = 24 | 8 × 6 = 48 |
9 × 6 = 54 | 2 × 6 = 12 |
3 × 7 = 21 | 9 × 7 = 63 |
6 × 7 = 42 | 8 × 7 = 56 |
5 × 7 = 35 | 7 × 7 = 49 |
4 × 7 = 28 | 2 × 7 = 14 |
5 × 8 = 40 | 9 × 8 = 72 |
7 × 8 = 56 | 4 × 8 = 32 |
3 × 8 = 24 | 6 × 8 = 48 |
8 × 8 = 64 | 2 × 8 = 16 |
6 × 9 = 54 | 4 × 9 = 36 |
3 × 9 = 27 | 7 × 9 = 63 |
8 × 9 = 72 | 5 × 9 = 45 |
9 × 9 = 81 | 2 × 9 = 18 |
6 × 12 = 72 | 3 × 12 = 36 |
5 × 12 = 60 | 9 × 12 = 108 |
8 × 12 = 96 | 7 × 12 = 84 |
4 × 12 = 48 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{12}{16}\) \(= \frac{3}{4}\)
Evaluate:
\( 1\frac{2}{3} − \frac{6}{7}\) \(= \frac{17}{21}\)
Find BC if AB = 3.5m and AC = 4.5m. 5.70m
Find angle BCA if AB = 5.6m and BC = 6.8m. 55.4o
Find BC if angle BCA = 32o and AB = 3.4m. 6.42m
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.
\(0.03\) = \( \frac{3}{100}\)
Increase £80 by 20%
£96
What is the lowest common multiple of nine and twenty four.
= 72
3,11,19,27,35...
Find the:
a) next term; 43
b) nth term; 8n - 5
c) term number 50; 395
3,6,12,24,48...
Find the:
a) next term; 96
b) nth term; 3 × 2n-1
c) term number 11; 3072
If £120 is invested for 8 years with a simple interest rate of 5%, find the amount of interest earned. £48.00
If £200 is invested with an interest rate of 5% compounded annually, find the value of the investment after 6 years. £268.02
If £1 is worth $1.26, convert:
a) £120 to dollars; $151.20
b) $200 to pounds; £158.73
What are the coordinates of the midpoint of the line joining:
\((-4,-6) \text{ and } (2,0)\)
(-1,-3)
What is the gradient of the line joining:
\((-3,-5) \text{ and } (2,1)\)
\(\frac{6}{5}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((2,4),(6,8),(-2,8)\)
(2,12)
a) 12 − 22 = -10
b) 12 × (-8) = -96
c) (10−20)(9−21) = 120
d) 96 ÷ (-8) = -12
e) (-7)2 = 49
If p = 5, q = 27 and
r = -9 evaluate:
a) 2q − p = 49
b) pq + r = 126
c) p2 − 5q - r = -101
Solve:
\(3x = 18\)
\(x = 6\)
Solve:
\(5x -2= 28\)
\(x = 6\)
Solve:
\(6x +2= 2x + 30\)
\(x = 7\)
Solve:
\(3(4x +5)+10= 61\)
\(x = 3\)
Solve:
\(5(3x + 3)= 4(4x + 5)\)
\(x = -5\)
Solve:
\(5x+2y = 37\)
\(2x+2y = 22\)
\(x = 5, y = 6\)
Solve:
\(3x-3y = -3\)
\(7x+6y = 58\)
\(x = 4, y = 5\)
Solve:
\(3x-5y = -73.5\)
\(5x-3y = -74.5\)
\(x = -9.5, y = 9\)
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:
{1,2,3,4,5} and
{1,3,6,10,15}
{1,3}
A plane flies from point A to point B on a bearing of 285o. What bearing would it return on from B to A? 105o
A number is picked at random from the set
{6,7,8,9,10}
what is the probability it is even? \(\frac35\)
Evaluate:
2 + 3 × 2 − 7
1
Simplify the following by collecting like terms:
\(3b+5c+8b+4c\)
\(11b+9c\)
Divide 63 in the ratio
2:7
14 and 49
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:
36
2 x 2 x 3 x 3
In a sale an item costs £55 after a 45% reduction. What was the original price?
£100
Find the mean, mode, median and range of the following:
5,3,7,5,10
Mean = 6, mode = 5,
median = 5 and range = 7
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.333333... \(\frac{1}{3}\)
Decrease £20 by 25%
£15
Expand:
\(2(4x-2)\)
\(8x-4\)
Expand:
\((x+4)(2x-2)\)
\(2x^2+6x-8\)
Factorise:
\(27x-18\)
\(9(3x-2)\)
Factorise:
\(x^2-x-6\)
\((x+2)(x-3)\)
Factorise:
\(x^2-16\)
\((x+4)(x-4)\)
Which theorem?
Find the value of:
3.42 × 10-3
= 0.00342
Write in standard form:
4710000
= 4.71 × 106
Write in standard form:
0.0000725
= 7.25 × 10-5
Find the nth term:
\(12, 20, 32, 48, 68, \)
\(2n^2+2n+8\)
Multiply 4 × 105
by 4 × 102 and give the answer in standard form.
= 1.6 × 108
Solve:
\(x^2+2x-8= 0\)
\(x = 2\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2-2x-4 = 0\)
\(x = 1.12\) and \(-0.717\)
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:
7016 ÷ 8
= 877
What is the 10th:
a) Cube number; 1000
b) Triangular number; 55
c) Fibonacci number. 55
What is the square root of
144
12
What are the next three prime numbers after
17
19, 23, 29
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, 3.03, 3.3, 0.3, 3.33, 0.33, 0.03, in ascending order.
0.03, 0.3, 0.33, 3, 3.03, 3.3, 3.33,
Write down these lengths: 1.08m, 18mm, 1.8m, 17cm, 107cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 200ml, 21cl, 18cl, 173ml, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
g = 122
f = 65
Round to one significant figure:
a) 50.66; 50
b) 335452; 300000
c) 71; 70
d) 0.00991; 0.01
Round each value to one significant figure to make an estimate:$$72 + 8.9 \times 73$$\(70 + 9 \times 70 = 700\)
A pie chart shows the colours of 18 books. What sector angle represents the
6 red books?
120°
What is the equation?
\(y=10-2x\)A pie chart shows the colours of 20 hats. How many green hats are represented
by a sector
angle of 90°?
5
Simplify:
$$\sqrt{32}$$
\(4\sqrt{2}\)
Simplify:
$$\dfrac{4}{5\sqrt{3}}$$\(\dfrac{4\sqrt{3}}{15}\)
Simplify:
$$\dfrac{4}{6 - \sqrt{5}}$$\(\frac{24 + 4\sqrt{5}}{31}\)
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