What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11
Find all the factors of:
39
1, 3, 13, 39.
Subtract the 5th from the 10th multiples of:
3
15
What are the names of regular polygons with:
a) three sides;
b) four sides;
c) five sides.
Equilateral Triangle, Square and Pentagon (all regular)
Round to three significant figures:
a) 44.33; 44.3
b) 296487; 296000
c) 36; 36.0
d) 0.003695; 0.00370
Find the area of a triangle that has a base of 7cm and a height of 11cm.
38.5cm2
Find the area of a trapezium that has a base of 9cm, a height of 7cm and a top (parallel to base) of 3cm. 42cm2
Evaluate:
\( \frac{1}{4} + \frac{5}{8}\) \(= \frac{7}{8}\)
Evaluate:
\( \frac{2}{3} × \frac{4}{6}\) \(= \frac{4}{9}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{6}{5}\) \(= \frac{5}{9}\)
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 6cm. Give your answer to three significant figures.
113cm2
Find the circumference of a circle that has a radius of 8cm. Give your answer to three significant figures.
50.3cm
Calculate the value of:
5.9 + 3.5
= 9.4
Calculate the value of:
6.4 − 2.7
= 3.7
Calculate the value of:
5.8 × 6.8
= 39.44
Calculate the value of:
122.2 ÷ 13
= 9.4
What is the value of:
13
= 1
What is the value of:
\(27^{\frac{1}{3}}\)
\(= 3\)
Calculate the value of:
49 + 78
= 127
Calculate the value of:
54 − 29
= 25
Calculate the value of:
47 × 24
= 1128
Calculate the value of:
2522 ÷ 26
= 97
Find the value of:
70% of 200
= 140
Find the value of:
3.71 × 105
= 371000
Find the highest common factor of eighteen and fifteen.
= 3
5 × 2 = 10 | 8 × 3 = 24 |
9 × 2 = 18 | 6 × 5 = 30 |
3 × 4 = 12 | 4 × 4 = 16 |
7 × 5 = 35 | 2 × 2 = 4 |
8 × 2 = 16 | 9 × 2 = 18 |
4 × 5 = 20 | 6 × 9 = 54 |
3 × 2 = 6 | 5 × 11 = 55 |
7 × 12 = 84 | 2 × 10 = 20 |
3 × 2 = 6 | 4 × 2 = 8 |
8 × 2 = 16 | 6 × 2 = 12 |
5 × 2 = 10 | 7 × 2 = 14 |
9 × 2 = 18 | 2 × 2 = 4 |
6 × 3 = 18 | 9 × 3 = 27 |
3 × 3 = 9 | 4 × 3 = 12 |
7 × 3 = 21 | 8 × 3 = 24 |
5 × 3 = 15 | 2 × 3 = 6 |
4 × 4 = 16 | 6 × 4 = 24 |
7 × 4 = 28 | 3 × 4 = 12 |
8 × 4 = 32 | 9 × 4 = 36 |
5 × 4 = 20 | 2 × 4 = 8 |
5 × 5 = 25 | 9 × 5 = 45 |
8 × 5 = 40 | 7 × 5 = 35 |
4 × 5 = 20 | 3 × 5 = 15 |
6 × 5 = 30 | 2 × 5 = 10 |
8 × 6 = 48 | 6 × 6 = 36 |
7 × 6 = 42 | 9 × 6 = 54 |
5 × 6 = 30 | 4 × 6 = 24 |
3 × 6 = 18 | 2 × 6 = 12 |
9 × 7 = 63 | 5 × 7 = 35 |
6 × 7 = 42 | 4 × 7 = 28 |
8 × 7 = 56 | 7 × 7 = 49 |
3 × 7 = 21 | 2 × 7 = 14 |
4 × 8 = 32 | 5 × 8 = 40 |
3 × 8 = 24 | 7 × 8 = 56 |
8 × 8 = 64 | 9 × 8 = 72 |
6 × 8 = 48 | 2 × 8 = 16 |
4 × 9 = 36 | 8 × 9 = 72 |
5 × 9 = 45 | 9 × 9 = 81 |
6 × 9 = 54 | 3 × 9 = 27 |
7 × 9 = 63 | 2 × 9 = 18 |
7 × 12 = 84 | 5 × 12 = 60 |
6 × 12 = 72 | 3 × 12 = 36 |
9 × 12 = 108 | 4 × 12 = 48 |
8 × 12 = 96 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{30}{36}\) \(= \frac{5}{6}\)
Evaluate:
\( 2\frac{3}{4} − \frac{6}{7}\) \(= 1\frac{25}{28}\)
Find AB if AC = 3.7m and BC = 5.5m. 4.07m
Find angle BCA if AB = 4.9m and BC = 6.3m. 51.1o
Find BC if angle BCA = 57o and AC = 4.9m. 9.00m
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.
\( \frac{2}{5}\) \(= 0.4\)
Convert this decimal to a fraction.
\(0.48\) = \( \frac{12}{25}\)
Increase £100 by 10%
£110
What is the lowest common multiple of nine and fifteen.
= 45
5,15,25,35,45...
Find the:
a) next term; 55
b) nth term; 10n - 5
c) term number 50; 495
3,6,12,24,48...
Find the:
a) next term; 96
b) nth term; 3 × 2n-1
c) term number 12; 6144
If £160 is invested for 6 years with a simple interest rate of 6%, find the amount of interest earned. £57.60
If £200 is invested with an interest rate of 1% compounded annually, find the value of the investment after 5 years. £210.20
If £1 is worth $1.24, convert:
a) £140 to dollars; $173.60
b) $180 to pounds; £145.16
What are the coordinates of the midpoint of the line joining:
\((9,9) \text{ and } (21,21)\)
(15,15)
What is the gradient of the line joining:
\((4,-1) \text{ and } (10,2)\)
\(\frac{1}{2}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,2),(9,6),(0,7)\)
(5,11)
a) 10 − 20 = -10
b) 10 × (-6) = -60
c) (5−13)(6−12) = 48
d) 60 ÷ (-6) = -10
e) (-10)2 = 100
If p = 6, q = 26 and
r = -6 evaluate:
a) 2q − p = 46
b) pq + r = 150
c) p2 − 5q - r = -88
Solve:
\(2x = 4\)
\(x = 2\)
Solve:
\(2x -4= 2\)
\(x = 3\)
Solve:
\(8x -4= 3x + 36\)
\(x = 8\)
Solve:
\(4(3x +3)-5= 67\)
\(x = 5\)
Solve:
\(3(5x + 4)= 2(3x + 3)\)
\(x = -0.667 \text{(to 3 sf)}\)
Solve:
\(4x+5y = 54\)
\(2x+5y = 42\)
\(x = 6, y = 6\)
Solve:
\(3x-4y = -4\)
\(6x-16y = -40\)
\(x = 4, y = 4\)
Solve:
\(3x-5y = 21\)
\(5x-3y = 43\)
\(x = 9.5, y = 1.5\)
Find the union of:
{1,2,3,4,5} and
{2,4,6,8,10}
{1,2,3,4,5,6,8,10}
Find the intersection of:
{1,3,5,7,9} and
{3,4,5,6,7,8}
{3,5,7}
A plane flies from point A to point B on a bearing of 140o. What bearing would it return on from B to A? 320o
A number is picked at random from the set
{5,6,7,8,9,10}
what is the probability it is even? \(\frac12\)
Evaluate:
92 − 8 × 7 + 4
29
Simplify the following by collecting like terms:
\(3y+2w+7y\)
\(10y+2w\)
Divide 40 in the ratio
3:1
30 and 10
Draw a rough sketch of the graph of:
\(y=2x-1\)
Gradient 2
y intercept -1
Express the following number as the product of prime numbers:
1080
2 x 2 x 2 x 3 x 3 x 3 x 5
In a sale an item costs £16 after a 20% reduction. What was the original price?
£20
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.
0.757575... \(\frac{25}{33}\)
Decrease £120 by 30%
£84
Expand:
\(5(3x-9)\)
\(15x-45\)
Expand:
\((4x+2)(2x-3)\)
\(8x^2-8x-6\)
Factorise:
\(4x-4\)
\(4(x-1)\)
Factorise:
\(x^2-2x-8\)
\((x+2)(x-4)\)
Factorise:
\(5x^2+17x-12\)
\((x+4)(5x-3)\)
Which theorem?
Find the value of:
7.17 × 10-3
= 0.00717
Write in standard form:
567
= 5.67 × 102
Write in standard form:
0.00529
= 5.29 × 10-3
Find the nth term:
\(10, 22, 40, 64, 94, \)
\(3n^2+3n+4\)
Multiply 4 × 106
by 9 × 102 and give the answer in standard form.
= 3.6 × 109
Solve:
\(x^2+x-20= 0\)
\(x = 4\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2+3x-3 = 0\)
\(x = 0.569\) and \(-1.32\)
What is the size of each interior angle of a regular hexagon?
120°
Make \(k\) the subject of the formula
$$c=\frac{a(2+k)}{b}$$
$$k=\frac{bc}{a}-2$$
Calculate the value of:
1658 ÷ 2
= 829
What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13
What is the square of
8
64
What is the 4th prime number?
7
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: 0.11, 0.1, 1, 1.11, 1.01, 1.1, 0.01, in ascending order.
0.01, 0.1, 0.11, 1, 1.01, 1.1, 1.11,
Write down these lengths: 107cm, 18mm, 17cm, 1.08m, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 18cl, 173ml, 17cl, 200ml, 21cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
f = 132
h = 75
Round to one significant figure:
a) 46.15; 50
b) 265464; 300000
c) 57; 60
d) 0.00331; 0.003
Round each value to one significant figure to make an estimate:$$5.7 \times 21 - 154$$\(6 \times 20 - 200 = -80\)
A pie chart shows the colours of 60 books. What sector angle represents the
27 red books?
162°
What is the equation?
\(y=x+3\)A pie chart shows the colours of 60 hats. How many green hats are represented
by a sector
angle of 216°?
36
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