What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29
Find all the factors of:
35
1, 5, 7, 35.
Subtract the 6th from the 11th multiples of:
8
40
What are the names of regular polygons with:
a) seven sides;
b) eight sides;
c) nine sides.
Heptagon, Octagon and Nonagon (all regular)
Round to three significant figures:
a) 57.94; 57.9
b) 467738; 468000
c) 54; 54.0
d) 0.005495; 0.00550
Find the area of a triangle that has a base of 3cm and a height of 7cm.
10.5cm2
Find the area of a trapezium that has a base of 14cm, a height of 10cm and a top (parallel to base) of 4cm. 90cm2
Evaluate:
\( \frac{3}{4} + \frac{5}{7}\) \(= 1\frac{13}{28}\)
Evaluate:
\( \frac{1}{2} × \frac{4}{6}\) \(= \frac{1}{3}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{6}{4}\) \(= \frac{1}{3}\)
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 2cm. Give your answer to three significant figures.
12.6cm2
Find the circumference of a circle that has a radius of 4cm. Give your answer to three significant figures.
25.1cm
Calculate the value of:
6.6 + 9.9
= 16.5
Calculate the value of:
7.3 − 4.6
= 2.7
Calculate the value of:
4.2 × 9.9
= 41.58
Calculate the value of:
42.9 ÷ 13
= 3.3
What is the value of:
43
= 64
What is the value of:
\(16^{\frac{1}{2}}\)
\(= 4\)
Calculate the value of:
26 + 47
= 73
Calculate the value of:
61 − 25
= 36
Calculate the value of:
93 × 94
= 8742
Calculate the value of:
2132 ÷ 26
= 82
Find the value of:
60% of 160
= 96
Find the value of:
1.32 × 103
= 1320
Find the highest common factor of eighteen and four.
= 2
3 × 5 = 15 | 5 × 3 = 15 |
7 × 2 = 14 | 6 × 5 = 30 |
8 × 4 = 32 | 4 × 3 = 12 |
9 × 5 = 45 | 2 × 2 = 4 |
6 × 8 = 48 | 3 × 8 = 24 |
4 × 6 = 24 | 7 × 12 = 84 |
5 × 3 = 15 | 8 × 7 = 56 |
9 × 5 = 45 | 2 × 10 = 20 |
5 × 2 = 10 | 9 × 2 = 18 |
8 × 2 = 16 | 7 × 2 = 14 |
4 × 2 = 8 | 6 × 2 = 12 |
3 × 2 = 6 | 2 × 2 = 4 |
6 × 3 = 18 | 9 × 3 = 27 |
8 × 3 = 24 | 3 × 3 = 9 |
5 × 3 = 15 | 4 × 3 = 12 |
7 × 3 = 21 | 2 × 3 = 6 |
9 × 4 = 36 | 7 × 4 = 28 |
3 × 4 = 12 | 4 × 4 = 16 |
6 × 4 = 24 | 8 × 4 = 32 |
5 × 4 = 20 | 2 × 4 = 8 |
7 × 5 = 35 | 3 × 5 = 15 |
4 × 5 = 20 | 6 × 5 = 30 |
9 × 5 = 45 | 5 × 5 = 25 |
8 × 5 = 40 | 2 × 5 = 10 |
5 × 6 = 30 | 8 × 6 = 48 |
9 × 6 = 54 | 7 × 6 = 42 |
3 × 6 = 18 | 4 × 6 = 24 |
6 × 6 = 36 | 2 × 6 = 12 |
8 × 7 = 56 | 9 × 7 = 63 |
4 × 7 = 28 | 7 × 7 = 49 |
5 × 7 = 35 | 6 × 7 = 42 |
3 × 7 = 21 | 2 × 7 = 14 |
5 × 8 = 40 | 3 × 8 = 24 |
6 × 8 = 48 | 9 × 8 = 72 |
7 × 8 = 56 | 4 × 8 = 32 |
8 × 8 = 64 | 2 × 8 = 16 |
6 × 9 = 54 | 3 × 9 = 27 |
4 × 9 = 36 | 8 × 9 = 72 |
5 × 9 = 45 | 7 × 9 = 63 |
9 × 9 = 81 | 2 × 9 = 18 |
3 × 12 = 36 | 5 × 12 = 60 |
9 × 12 = 108 | 8 × 12 = 96 |
4 × 12 = 48 | 6 × 12 = 72 |
7 × 12 = 84 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{5}{15}\) \(= \frac{1}{3}\)
Evaluate:
\( 1\frac{1}{2} − \frac{4}{5}\) \(= \frac{7}{10}\)
Find AC if AB = 4.3m and BC = 5.7m. 3.74m
Find angle ABC if AC = 5.7m and AB = 7m. 39.2o
Find AC if angle ABC = 23o and AB = 4.7m. 2.00m
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.
\(0.07\) = \( \frac{7}{100}\)
Increase £80 by 40%
£112
What is the lowest common multiple of eight and twenty eight.
= 56
6,15,24,33,42...
Find the:
a) next term; 51
b) nth term; 9n - 3
c) term number 44; 393
3,6,12,24,48...
Find the:
a) next term; 96
b) nth term; 3 × 2n-1
c) term number 8; 384
If £140 is invested for 4 years with a simple interest rate of 1%, find the amount of interest earned. £5.60
If £220 is invested with an interest rate of 2% compounded annually, find the value of the investment after 4 years. £238.14
If £1 is worth $1.22, convert:
a) £140 to dollars; $170.80
b) $100 to pounds; £81.97
What are the coordinates of the midpoint of the line joining:
\((-8,8) \text{ and } (2,14)\)
(-3,11)
What is the gradient of the line joining:
\((0,5) \text{ and } (6,9)\)
\(\frac{2}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((1,3),(7,8),(-4,9)\)
(2,14)
a) 9 − 18 = -9
b) 9 × (-8) = -72
c) (12−24)(10−18) = 96
d) 72 ÷ (-8) = -9
e) (-8)2 = 64
If p = 5, q = 24 and
r = -7 evaluate:
a) 2q − p = 43
b) pq + r = 113
c) p2 − 5q - r = -88
Solve:
\(5x = 30\)
\(x = 6\)
Solve:
\(3x +2= 14\)
\(x = 4\)
Solve:
\(7x -3= 6x + 1\)
\(x = 4\)
Solve:
\(5(2x -6)-12= 38\)
\(x = 8\)
Solve:
\(5(3x + 2)= 4(5x + 4)\)
\(x = -1.2\)
Solve:
\(5x-5y = -5\)
\(3x-5y = -11\)
\(x = 3, y = 4\)
Solve:
\(2x-5y = -11\)
\(5x-15y = -35\)
\(x = 2, y = 3\)
Solve:
\(2x+7y = 1.5\)
\(5x-3y = 55\)
\(x = 9.5, y = -2.5\)
Find the union of:
{2,4,6,8,10} and
{6,7,8,9,10}
{2,4,6,7,8,9,10}
Find the intersection of:
{1,2,3,4,5} and
{5,6,7,8,9,10}
{5}
A plane flies from point A to point B on a bearing of 272o. What bearing would it return on from B to A? 092o
A number is picked at random from the set
{1,3,6,10,15}
what is the probability it is even? \(\frac25\)
Evaluate:
52 − 8 × 3 + 4
5
Simplify the following by collecting like terms:
\(7d−3e−5d+7e\)
\(4e+2d\)
Divide 45 in the ratio
2:7
10 and 35
Draw a rough sketch of the graph of:
\(y=x\)
Gradient 1
y intercept 0
Express the following number as the product of prime numbers:
108
2 x 2 x 3 x 3 x 3
In a sale an item costs £90 after a 25% reduction. What was the original price?
£120
Find the mean, mode, median and range of the following:
6,7,8,9,10
Mean = 8, no mode,
median = 8 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.262626... \(\frac{26}{99}\)
Decrease £40 by 15%
£34
Expand:
\(9(9x-2)\)
\(81x-18\)
Expand:
\((3x+2)(3x-3)\)
\(9x^2-3x-6\)
Factorise:
\(72x-45\)
\(9(8x-5)\)
Factorise:
\(x^2-1\)
\((x+1)(x-1)\)
Factorise:
\(5x^2+4x-1\)
\((x+1)(5x-1)\)
Which theorem?
Find the value of:
7.44 × 10-5
= 0.0000744
Write in standard form:
643000
= 6.43 × 105
Write in standard form:
0.06
= 6 × 10-2
Find the nth term:
\(8, 15, 26, 41, 60, \)
\(2n^2+n+5\)
Multiply 6 × 104
by 5 × 105 and give the answer in standard form.
= 3 × 1010
Solve:
\(x^2+3x-10= 0\)
\(x = 2\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2-3x-4 = 0\)
\(x = 1.24\) and \(-0.643\)
What is the size of each interior angle of a regular octagon?
135°
Make \(h\) the subject of the formula
$$e=\frac{h}{4}-5$$
$$h=4(e+5)$$
Calculate the value of:
2415 ÷ 5
= 483
What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5
What are the three largest square numbers less than
100
81, 64, 49
What are the next three prime numbers after
11
13, 17, 19
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: 0.5, 5.5, 5, 0.55, 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: 1.08m, 107cm, 18mm, 17cm, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 200ml, 17cl, 18cl, 173ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
a = 48
g = 122
Round to one significant figure:
a) 99.36; 100
b) 607510; 600000
c) 88; 90
d) 0.00711; 0.007
Round each value to one significant figure to make an estimate:$$52 + 4.7 \times 52$$\(50 + 5 \times 50 = 300\)
A pie chart shows the colours of 40 books. What sector angle represents the
14 red books?
126°
What is the equation?
\(y=3\)A pie chart shows the colours of 40 hats. How many green hats are represented
by a sector
angle of 243°?
27
Simplify:
$$\sqrt{32}$$
\(4\sqrt{2}\)
Simplify:
$$\dfrac{9}{\sqrt{6}}$$\(\frac{9\sqrt{6}}{6} = \frac{3\sqrt{6}}{2}\)
Simplify:
$$\dfrac{3}{7 - \sqrt{2}}$$\(\frac{21 + 3\sqrt{2}}{47}\)
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