What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13
Find all the factors of:
22
1, 2, 11, 22.
Subtract the 7th from the 10th multiples of:
11
33
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) 97.48; 97.5
b) 491352; 491000
c) 87; 87.0
d) 0.008795; 0.00880
Find the area of a triangle that has a base of 5cm and a height of 10cm.
25cm2
Find the area of a trapezium that has a base of 15cm, a height of 8cm and a top (parallel to base) of 5cm. 80cm2
Evaluate:
\( \frac{3}{5} + \frac{8}{10}\) \(= 1\frac{2}{5}\)
Evaluate:
\( \frac{2}{3} × \frac{4}{5}\) \(= \frac{8}{15}\)
Evaluate:
\( \frac{3}{4} ÷ \frac{7}{6}\) \(= \frac{9}{14}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{5}{8}\) \(= 62.5\)%
Find the area of a circle that has a radius of 1cm. Give your answer to three significant figures.
3.14cm2
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:
6.8 + 8.8
= 15.6
Calculate the value of:
5.1 − 3.8
= 1.3
Calculate the value of:
9.8 × 6.7
= 65.66
Calculate the value of:
36.4 ÷ 14
= 2.6
What is the value of:
33
= 27
What is the value of:
\(4^{-3}\)
\(= \frac{1}{64}\)
Calculate the value of:
76 + 74
= 150
Calculate the value of:
74 − 25
= 49
Calculate the value of:
68 × 27
= 1836
Calculate the value of:
1950 ÷ 25
= 78
Find the value of:
85% of 180
= 153
Find the value of:
4.65 × 104
= 46500
Find the highest common factor of thirty five and fifteen.
= 5
7 × 2 = 14 | 6 × 2 = 12 |
9 × 5 = 45 | 4 × 4 = 16 |
8 × 5 = 40 | 5 × 3 = 15 |
3 × 2 = 6 | 2 × 3 = 6 |
7 × 5 = 35 | 6 × 8 = 48 |
3 × 3 = 9 | 9 × 6 = 54 |
8 × 5 = 40 | 4 × 8 = 32 |
5 × 3 = 15 | 2 × 3 = 6 |
3 × 2 = 6 | 9 × 2 = 18 |
6 × 2 = 12 | 4 × 2 = 8 |
8 × 2 = 16 | 7 × 2 = 14 |
5 × 2 = 10 | 2 × 2 = 4 |
9 × 3 = 27 | 7 × 3 = 21 |
3 × 3 = 9 | 4 × 3 = 12 |
8 × 3 = 24 | 6 × 3 = 18 |
5 × 3 = 15 | 2 × 3 = 6 |
4 × 4 = 16 | 5 × 4 = 20 |
3 × 4 = 12 | 9 × 4 = 36 |
6 × 4 = 24 | 8 × 4 = 32 |
7 × 4 = 28 | 2 × 4 = 8 |
7 × 5 = 35 | 3 × 5 = 15 |
9 × 5 = 45 | 5 × 5 = 25 |
6 × 5 = 30 | 4 × 5 = 20 |
8 × 5 = 40 | 2 × 5 = 10 |
6 × 6 = 36 | 9 × 6 = 54 |
7 × 6 = 42 | 3 × 6 = 18 |
5 × 6 = 30 | 8 × 6 = 48 |
4 × 6 = 24 | 2 × 6 = 12 |
7 × 7 = 49 | 6 × 7 = 42 |
8 × 7 = 56 | 5 × 7 = 35 |
3 × 7 = 21 | 9 × 7 = 63 |
4 × 7 = 28 | 2 × 7 = 14 |
5 × 8 = 40 | 9 × 8 = 72 |
4 × 8 = 32 | 6 × 8 = 48 |
3 × 8 = 24 | 8 × 8 = 64 |
7 × 8 = 56 | 2 × 8 = 16 |
4 × 9 = 36 | 6 × 9 = 54 |
3 × 9 = 27 | 9 × 9 = 81 |
8 × 9 = 72 | 5 × 9 = 45 |
7 × 9 = 63 | 2 × 9 = 18 |
8 × 12 = 96 | 3 × 12 = 36 |
4 × 12 = 48 | 6 × 12 = 72 |
5 × 12 = 60 | 9 × 12 = 108 |
7 × 12 = 84 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{12}{15}\) \(= \frac{4}{5}\)
Evaluate:
\( 3\frac{1}{2} − \frac{3}{4}\) \(= 2\frac{3}{4}\)
Find AB if AC = 3.2m and BC = 4.6m. 3.30m
Find angle ABC if AB = 5.9m and BC = 7.1m. 33.8o
Find AB if angle ABC = 68o and BC = 3.2m. 1.20m
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.
\( \frac{3}{8}\) \(= 0.375\)
Convert this decimal to a fraction.
\(0.3\) = \( \frac{3}{10}\)
Increase £60 by 10%
£66
What is the lowest common multiple of twenty and thirty.
= 60
3,8,13,18,23...
Find the:
a) next term; 28
b) nth term; 5n - 2
c) term number 49; 243
5,10,20,40,80...
Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 12; 10240
If £120 is invested for 8 years with a simple interest rate of 1%, find the amount of interest earned. £9.60
If £200 is invested with an interest rate of 6% compounded annually, find the value of the investment after 6 years. £283.70
If £1 is worth $1.26, convert:
a) £120 to dollars; $151.20
b) $180 to pounds; £142.86
What are the coordinates of the midpoint of the line joining:
\((2,2) \text{ and } (10,10)\)
(6,6)
What is the gradient of the line joining:
\((2,-8) \text{ and } (5,-2)\)
2
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,1),(9,5),(1,5)\)
(5,9)
a) 8 − 14 = -6
b) 8 × (-7) = -56
c) (11−21)(12−19) = 70
d) 56 ÷ (-7) = -8
e) (-5)2 = 25
If p = 6, q = 20 and
r = -5 evaluate:
a) 2q − p = 34
b) pq + r = 115
c) p2 − 5q - r = -59
Solve:
\(5x = 15\)
\(x = 3\)
Solve:
\(2x -5= 5\)
\(x = 5\)
Solve:
\(5x -2= 2x + 22\)
\(x = 8\)
Solve:
\(3(3x -6)-11= 25\)
\(x = 6\)
Solve:
\(2(4x + 2)= 5(5x + 4)\)
\(x = -0.941 \text{(to 3 sf)}\)
Solve:
\(2x+4y = 32\)
\(3x-4y = -12\)
\(x = 4, y = 6\)
Solve:
\(3x-3y = -15\)
\(7x-12y = -70\)
\(x = 2, y = 7\)
Solve:
\(2x+7y = 64.5\)
\(5x-3y = 7.5\)
\(x = 6, y = 7.5\)
Find the union of:
{5,6,7,8,9,10} and
{3,4,5,6,7,8}
{3,4,5,6,7,8,9,10}
Find the intersection of:
{2,4,6,8,10} and
{3,4,5,6,7,8}
{4,6,8}
A plane flies from point A to point B on a bearing of 193o. What bearing would it return on from B to A? 013o
A number is picked at random from the set
{1,2,3,4,5}
what is the probability it is even? \(\frac25\)
Evaluate:
22 − 2 × 6 + 2
-6
Simplify the following by collecting like terms:
\(5a−5−4a−5\)
\(a-10\)
Divide 56 in the ratio
1:6
8 and 48
Draw a rough sketch of the graph of:
\(2y=x+4\)
Gradient 0.5
y intercept 2
Express the following number as the product of prime numbers:
270
2 x 3 x 3 x 3 x 5
In a sale an item costs £117 after a 35% reduction. What was the original price?
£180
Find the mean, mode, median and range of the following:
5,8,8,6,7,8
Mean = 7, mode = 8,
median = 7.5 and range = 3
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.959595... \(\frac{95}{99}\)
Decrease £40 by 5%
£38
Expand:
\(3(5x-4)\)
\(15x-12\)
Expand:
\((3x+3)(4x-1)\)
\(12x^2+9x-3\)
Factorise:
\(45x-36\)
\(9(5x-4)\)
Factorise:
\(x^2+x-6\)
\((x+3)(x-2)\)
Factorise:
\(5x^2+3x-2\)
\((x+1)(5x-2)\)
Which theorem?
Find the value of:
7.54 × 10-4
= 0.000754
Write in standard form:
761000
= 7.61 × 105
Write in standard form:
0.0000136
= 1.36 × 10-5
Find the nth term:
\(-5, 0, 7, 16, 27, \)
\(n^2+2n-8\)
Multiply 9 × 103
by 8 × 103 and give the answer in standard form.
= 7.2 × 107
Solve:
\(x^2-x-30= 0\)
\(x = 6\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2-x-4 = 0\)
\(x = 1.69\) and \(-1.19\)
What is the size of each exterior angle of a regular hexagon?
60°
Make \(a\) the subject of the formula
$$b=2a-3$$
$$a=\frac{b+3}{2}$$
Calculate the value of:
1172 ÷ 4
= 293
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
What are the three largest square numbers less than
144
121, 100, 81
What are the three largest prime numbers less than
13
11, 7, 5
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: 1.1, 0.1, 1, 1.01, 1.11, 0.11, 0.01, in ascending order.
0.01, 0.1, 0.11, 1, 1.01, 1.1, 1.11,
Write down these lengths: 1.8m, 18mm, 17cm, 107cm, 1.08m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 17cl, 200ml, 21cl, 18cl, 173ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
g = 122
e = 63
Round to one significant figure:
a) 17.44; 20
b) 638428; 600000
c) 77; 80
d) 0.00255; 0.003
Round each value to one significant figure to make an estimate:$$63 + 9.8 \times 24$$\(60 + 10 \times 20 = 260\)
A pie chart shows the colours of 20 books. What sector angle represents the
3 red books?
54°
What is the equation?
\(x=5\)A pie chart shows the colours of 90 hats. How many green hats are represented
by a sector
angle of 292°?
73
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