What is the 7th:
a) Odd number; 13
b) Square number; 49
c) Prime number. 17
Find all the factors of:
49
1, 7, 49.
Subtract the 4th from the 7th multiples of:
5
15
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) 35.77; 35.8
b) 635137; 635000
c) 35; 35.0
d) 0.003595; 0.00360
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 11cm, a height of 11cm and a top (parallel to base) of 5cm. 88cm2
Evaluate:
\( \frac{4}{6} + \frac{8}{10}\) \(= 1\frac{7}{15}\)
Evaluate:
\( \frac{1}{3} × \frac{5}{7}\) \(= \frac{5}{21}\)
Evaluate:
\( \frac{3}{4} ÷ \frac{8}{6}\) \(= \frac{9}{16}\)
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.
\( \frac{4}{6}\) \(= 66.7\)%
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 2cm. Give your answer to three significant figures.
12.6cm
Calculate the value of:
3.7 + 4.5
= 8.2
Calculate the value of:
7.1 − 1.7
= 5.4
Calculate the value of:
5.2 × 7.8
= 40.56
Calculate the value of:
167.4 ÷ 18
= 9.3
What is the value of:
43
= 64
What is the value of:
\(9^{\frac{1}{2}}\)
\(= 3\)
Calculate the value of:
66 + 49
= 115
Calculate the value of:
74 − 29
= 45
Calculate the value of:
92 × 75
= 6900
Calculate the value of:
1728 ÷ 18
= 96
Find the value of:
75% of 180
= 135
Find the value of:
1.81 × 103
= 1810
Find the highest common factor of twenty eight and eight.
= 4
8 × 4 = 32 | 6 × 4 = 24 |
9 × 2 = 18 | 7 × 3 = 21 |
3 × 4 = 12 | 5 × 3 = 15 |
4 × 5 = 20 | 2 × 2 = 4 |
9 × 7 = 63 | 3 × 4 = 12 |
7 × 2 = 14 | 6 × 4 = 24 |
4 × 10 = 40 | 8 × 8 = 64 |
5 × 3 = 15 | 2 × 2 = 4 |
6 × 2 = 12 | 5 × 2 = 10 |
9 × 2 = 18 | 3 × 2 = 6 |
7 × 2 = 14 | 8 × 2 = 16 |
4 × 2 = 8 | 2 × 2 = 4 |
6 × 3 = 18 | 3 × 3 = 9 |
7 × 3 = 21 | 4 × 3 = 12 |
5 × 3 = 15 | 8 × 3 = 24 |
9 × 3 = 27 | 2 × 3 = 6 |
6 × 4 = 24 | 4 × 4 = 16 |
9 × 4 = 36 | 8 × 4 = 32 |
3 × 4 = 12 | 7 × 4 = 28 |
5 × 4 = 20 | 2 × 4 = 8 |
6 × 5 = 30 | 9 × 5 = 45 |
3 × 5 = 15 | 5 × 5 = 25 |
8 × 5 = 40 | 7 × 5 = 35 |
4 × 5 = 20 | 2 × 5 = 10 |
5 × 6 = 30 | 9 × 6 = 54 |
6 × 6 = 36 | 4 × 6 = 24 |
7 × 6 = 42 | 8 × 6 = 48 |
3 × 6 = 18 | 2 × 6 = 12 |
7 × 7 = 49 | 8 × 7 = 56 |
4 × 7 = 28 | 3 × 7 = 21 |
9 × 7 = 63 | 6 × 7 = 42 |
5 × 7 = 35 | 2 × 7 = 14 |
7 × 8 = 56 | 9 × 8 = 72 |
4 × 8 = 32 | 8 × 8 = 64 |
3 × 8 = 24 | 6 × 8 = 48 |
5 × 8 = 40 | 2 × 8 = 16 |
9 × 9 = 81 | 4 × 9 = 36 |
6 × 9 = 54 | 3 × 9 = 27 |
5 × 9 = 45 | 8 × 9 = 72 |
7 × 9 = 63 | 2 × 9 = 18 |
6 × 12 = 72 | 7 × 12 = 84 |
9 × 12 = 108 | 8 × 12 = 96 |
4 × 12 = 48 | 5 × 12 = 60 |
3 × 12 = 36 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{8}{32}\) \(= \frac{1}{4}\)
Evaluate:
\( 1\frac{2}{3} − \frac{4}{5}\) \(= \frac{13}{15}\)
Find BC if AB = 5.5m and AC = 7.2m. 9.06m
Find angle ABC if AC = 3.8m and AB = 4.8m. 38.4o
Find AC if angle ABC = 25o and AB = 3.1m. 1.45m
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.
\( \frac{1}{4}\) \(= 0.25\)
Convert this decimal to a fraction.
\(0.74\) = \( \frac{37}{50}\)
Increase £40 by 5%
£42
What is the lowest common multiple of four and twelve.
= 12
5,13,21,29,37...
Find the:
a) next term; 45
b) nth term; 8n - 3
c) term number 54; 429
6,18,54,162,486...
Find the:
a) next term; 1458
b) nth term; 6 × 3n-1
c) term number 12; 1062882
If £140 is invested for 5 years with a simple interest rate of 5%, find the amount of interest earned. £35.00
If £120 is invested with an interest rate of 5% compounded annually, find the value of the investment after 9 years. £186.16
If £1 is worth $1.27, convert:
a) £140 to dollars; $177.80
b) $100 to pounds; £78.74
What are the coordinates of the midpoint of the line joining:
\((-9,-1) \text{ and } (1,5)\)
(-4,2)
What is the gradient of the line joining:
\((8,-1) \text{ and } (14,2)\)
\(\frac{1}{2}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,5),(7,9),(0,8)\)
(3,12)
a) 10 − 17 = -7
b) 10 × (-8) = -80
c) (12−17)(12−17) = 25
d) 80 ÷ (-8) = -10
e) (-10)2 = 100
If p = 5, q = 23 and
r = -6 evaluate:
a) 2q − p = 41
b) pq + r = 109
c) p2 − 5q - r = -84
Solve:
\(2x = 16\)
\(x = 8\)
Solve:
\(2x +3= 11\)
\(x = 4\)
Solve:
\(8x +3= 4x + 15\)
\(x = 3\)
Solve:
\(4(4x +5)-12= 40\)
\(x = 2\)
Solve:
\(4(2x + 3)= 3(5x + 5)\)
\(x = -0.429 \text{(to 3 sf)}\)
Solve:
\(6x+5y = 40\)
\(5x-5y = 15\)
\(x = 5, y = 2\)
Solve:
\(3x-4y = -6\)
\(5x+16y = 58\)
\(x = 2, y = 3\)
Solve:
\(2x+5y = 21.5\)
\(3x+2y = 13\)
\(x = 2, y = 3.5\)
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:
{6,7,8,9,10} and
{2,6,12}
{6}
A plane flies from point A to point B on a bearing of 250o. What bearing would it return on from B to A? 070o
A number is picked at random from the set
{2,4,6,8,10}
what is the probability it is even? 1
Evaluate:
(12 − 3)2 + 5 × 6
111
Simplify the following by collecting like terms:
\(3b+5c+8b+4c\)
\(11b+9c\)
Divide 180 in the ratio
3:9
45 and 135
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:
216
2 x 2 x 2 x 3 x 3 x 3
In a sale an item costs £45 after a 25% reduction. What was the original price?
£60
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.
0.949494... \(\frac{94}{99}\)
Decrease £60 by 40%
£36
Expand:
\(5(8x-9)\)
\(40x-45\)
Expand:
\((2x+1)(2x-4)\)
\(4x^2-6x-4\)
Factorise:
\(18x-15\)
\(3(6x-5)\)
Factorise:
\(x^2+x-6\)
\((x+3)(x-2)\)
Factorise:
\(x^2-16\)
\((x+4)(x-4)\)
Which theorem?
Find the value of:
6.94 × 10-4
= 0.000694
Write in standard form:
579
= 5.79 × 102
Write in standard form:
0.00862
= 8.62 × 10-3
Find the nth term:
\(16, 26, 40, 58, 80, \)
\(2n^2+4n+10\)
Multiply 9 × 104
by 6 × 106 and give the answer in standard form.
= 5.4 × 1011
Solve:
\(x^2-3x-10= 0\)
\(x = 5\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+x-5 = 0\)
\(x = 1.14\) and \(-1.47\)
What is the size of each exterior angle of a regular octagon?
45°
Make \(e\) the subject of the formula
$$f=g(e+h)$$
$$e=\frac{f}{g}-h$$
Calculate the value of:
6600 ÷ 8
= 825
What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89
What is the difference between the 8th and the 9th square numbers?
17
What are the next three prime numbers after
13
17, 19, 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: 0.77, 7.07, 7.7, 7.77, 7, 0.7, 0.07, in ascending order.
0.07, 0.7, 0.77, 7, 7.07, 7.7, 7.77,
Write down these lengths: 17cm, 1.08m, 18mm, 107cm, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 17cl, 200ml, 173ml, 18cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
g = 122
h = 75
Round to one significant figure:
a) 94.77; 90
b) 230523; 200000
c) 82; 80
d) 0.00517; 0.005
Round each value to one significant figure to make an estimate:$$(161 + 9.7) \div 18$$\((200 + 10) \div 20 = 10.5\)
A pie chart shows the colours of 30 books. What sector angle represents the
27 red books?
324°
What is the equation?
\(y=3-2x\)A pie chart shows the colours of 6 hats. How many green hats are represented
by a sector
angle of 120°?
2
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