What is the 9th:
a) Odd number; 17
b) Square number; 81
c) Prime number. 23
Find all the factors of:
21
1, 3, 7, 21.
Subtract the 6th from the 11th multiples of:
5
25
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) 74.14; 74.1
b) 703035; 703000
c) 78; 78.0
d) 0.007895; 0.00790
Find the area of a triangle that has a base of 3cm and a height of 8cm.
12cm2
Find the area of a trapezium that has a base of 13cm, a height of 9cm and a top (parallel to base) of 3cm. 72cm2
Evaluate:
\( \frac{3}{5} + \frac{7}{9}\) \(= 1\frac{17}{45}\)
Evaluate:
\( \frac{3}{4} × \frac{5}{6}\) \(= \frac{5}{8}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{5}{3}\) \(= \frac{3}{10}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{3}{8}\) \(= 37.5\)%
Find the area of a circle that has a radius of 5cm. Give your answer to three significant figures.
78.5cm2
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:
2.6 + 3.5
= 6.1
Calculate the value of:
7.2 − 1.7
= 5.5
Calculate the value of:
4.3 × 5.2
= 22.36
Calculate the value of:
71.4 ÷ 17
= 4.2
What is the value of:
52
= 25
What is the value of:
\(3^{-3}\)
\(= \frac{1}{27}\)
Calculate the value of:
37 + 97
= 134
Calculate the value of:
94 − 26
= 68
Calculate the value of:
34 × 94
= 3196
Calculate the value of:
2304 ÷ 24
= 96
Find the value of:
85% of 80
= 68
Find the value of:
9.92 × 103
= 9920
Find the highest common factor of twenty four and fifteen.
= 3
4 × 5 = 20 | 7 × 2 = 14 |
9 × 5 = 45 | 8 × 3 = 24 |
6 × 2 = 12 | 5 × 4 = 20 |
3 × 4 = 12 | 2 × 3 = 6 |
8 × 6 = 48 | 3 × 11 = 33 |
9 × 2 = 18 | 4 × 4 = 16 |
6 × 4 = 24 | 7 × 12 = 84 |
5 × 5 = 25 | 2 × 11 = 22 |
3 × 2 = 6 | 9 × 2 = 18 |
7 × 2 = 14 | 5 × 2 = 10 |
8 × 2 = 16 | 4 × 2 = 8 |
6 × 2 = 12 | 2 × 2 = 4 |
5 × 3 = 15 | 7 × 3 = 21 |
6 × 3 = 18 | 4 × 3 = 12 |
9 × 3 = 27 | 8 × 3 = 24 |
3 × 3 = 9 | 2 × 3 = 6 |
4 × 4 = 16 | 5 × 4 = 20 |
9 × 4 = 36 | 8 × 4 = 32 |
6 × 4 = 24 | 7 × 4 = 28 |
3 × 4 = 12 | 2 × 4 = 8 |
8 × 5 = 40 | 5 × 5 = 25 |
6 × 5 = 30 | 4 × 5 = 20 |
7 × 5 = 35 | 3 × 5 = 15 |
9 × 5 = 45 | 2 × 5 = 10 |
7 × 6 = 42 | 8 × 6 = 48 |
9 × 6 = 54 | 4 × 6 = 24 |
3 × 6 = 18 | 5 × 6 = 30 |
6 × 6 = 36 | 2 × 6 = 12 |
6 × 7 = 42 | 9 × 7 = 63 |
8 × 7 = 56 | 5 × 7 = 35 |
3 × 7 = 21 | 7 × 7 = 49 |
4 × 7 = 28 | 2 × 7 = 14 |
8 × 8 = 64 | 6 × 8 = 48 |
9 × 8 = 72 | 7 × 8 = 56 |
5 × 8 = 40 | 3 × 8 = 24 |
4 × 8 = 32 | 2 × 8 = 16 |
9 × 9 = 81 | 6 × 9 = 54 |
8 × 9 = 72 | 3 × 9 = 27 |
5 × 9 = 45 | 4 × 9 = 36 |
7 × 9 = 63 | 2 × 9 = 18 |
9 × 12 = 108 | 7 × 12 = 84 |
6 × 12 = 72 | 8 × 12 = 96 |
5 × 12 = 60 | 4 × 12 = 48 |
3 × 12 = 36 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{12}{18}\) \(= \frac{2}{3}\)
Evaluate:
\( 2\frac{1}{2} − \frac{4}{5}\) \(= 1\frac{7}{10}\)
Find AC if AB = 5.8m and BC = 7.6m. 4.91m
Find angle BCA if AC = 4.8m and BC = 6.8m. 45.1o
Find AB if angle ABC = 44o and BC = 4.1m. 2.95m
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.
\( \frac{2}{5}\) \(= 0.4\)
Convert this decimal to a fraction.
\(0.88\) = \( \frac{22}{25}\)
Increase £160 by 35%
£216
What is the lowest common multiple of fifteen and thirty.
= 30
2,6,10,14,18...
Find the:
a) next term; 22
b) nth term; 4n - 2
c) term number 48; 190
4,8,16,32,64...
Find the:
a) next term; 128
b) nth term; 4 × 2n-1
c) term number 8; 512
If £100 is invested for 8 years with a simple interest rate of 2%, find the amount of interest earned. £16.00
If £220 is invested with an interest rate of 4% compounded annually, find the value of the investment after 7 years. £289.50
If £1 is worth $1.24, convert:
a) £220 to dollars; $272.80
b) $180 to pounds; £145.16
What are the coordinates of the midpoint of the line joining:
\((-6,-2) \text{ and } (6,10)\)
(0,4)
What is the gradient of the line joining:
\((-2,7) \text{ and } (1,11)\)
\(\frac{4}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((1,2),(7,5),(-2,8)\)
(4,11)
a) 7 − 15 = -8
b) 7 × (-8) = -56
c) (7−12)(12−24) = 60
d) 56 ÷ (-8) = -7
e) (-7)2 = 49
If p = 6, q = 20 and
r = -5 evaluate:
a) 2q − p = 34
b) pq + r = 115
c) p2 − 5q - r = -59
Solve:
\(4x = 28\)
\(x = 7\)
Solve:
\(2x +8= 14\)
\(x = 3\)
Solve:
\(6x +5= 2x + 37\)
\(x = 8\)
Solve:
\(2(2x -2)+7= 39\)
\(x = 9\)
Solve:
\(5(3x + 3)= 4(5x + 5)\)
\(x = -1\)
Solve:
\(5x+4y = 51\)
\(3x+4y = 37\)
\(x = 7, y = 4\)
Solve:
\(2x-4y = -20\)
\(7x-8y = -28\)
\(x = 4, y = 7\)
Solve:
\(5x+5y = -65\)
\(3x+2y = -30\)
\(x = -4, y = -9\)
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:
{2,4,6,8,10} and
{1,3,6,10,15}
{6,10}
A plane flies from point A to point B on a bearing of 314o. What bearing would it return on from B to A? 134o
A number is picked at random from the set
{2,3,5,7,11,13}
what is the probability it is even? \(\frac16\)
Evaluate:
36 ÷ 6 × 27 ÷ 9
18
Simplify the following by collecting like terms:
\(b+4c-7b+4c\)
\(8c-6b\)
Divide 88 in the ratio
9:2
72 and 16
Draw a rough sketch of the graph of:
\(y=-x-2\)
Gradient -1
y intercept -2
Express the following number as the product of prime numbers:
36
2 x 2 x 3 x 3
In a sale an item costs £32 after a 20% reduction. What was the original price?
£40
Find the mean, mode, median and range of the following:
1,3,1,10,5
Mean = 4, mode = 1,
median = 3 and range = 9
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.787878... \(\frac{26}{33}\)
Decrease £40 by 5%
£38
Expand:
\(9(6x-9)\)
\(54x-81\)
Expand:
\((3x+1)(2x-1)\)
\(6x^2-x-1\)
Factorise:
\(20x-12\)
\(4(5x-3)\)
Factorise:
\(x^2-4\)
\((x+2)(x-2)\)
Factorise:
\(2x^2+x-6\)
\((x+2)(2x-3)\)
Which theorem?
Find the value of:
7.15 × 10-4
= 0.000715
Write in standard form:
937000
= 9.37 × 105
Write in standard form:
0.0000249
= 2.49 × 10-5
Find the nth term:
\(-1, 11, 27, 47, 71, \)
\(2n^2+6n-9\)
Multiply 5 × 104
by 6 × 106 and give the answer in standard form.
= 3 × 1011
Solve:
\(x^2+x-12= 0\)
\(x = 3\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+2x-3 = 0\)
\(x = 0.721\) and \(-1.39\)
What is the size of each exterior angle of a regular heptagon?
51.4°
Make \(f\) the subject of the formula
$$h=g(e-f)$$
$$f=e-\frac{h}{g}$$
Calculate the value of:
6885 ÷ 9
= 765
What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13
What are the next three square numbers after
64
81, 100, 121
What are the next three prime numbers after
23
29, 31, 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: 3.03, 3.33, 3, 0.3, 3.3, 0.33, 0.03, in ascending order.
0.03, 0.3, 0.33, 3, 3.03, 3.3, 3.33,
Write down these lengths: 107cm, 1.08m, 1.8m, 18mm, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 18cl, 173ml, 21cl, 17cl, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
d = 99
c = 78
Round to one significant figure:
a) 49.75; 50
b) 448743; 400000
c) 90; 90
d) 0.00707; 0.007
Round each value to one significant figure to make an estimate:$$(174 + 7.8) \div 17$$\((200 + 8) \div 20 = 10.4\)
A pie chart shows the colours of 24 books. What sector angle represents the
2 red books?
30°
What is the equation?
\(y=10-2x\)A pie chart shows the colours of 30 hats. How many green hats are represented
by a sector
angle of 48°?
4
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