What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11
Find all the factors of:
21
1, 3, 7, 21.
Subtract the 7th from the 11th multiples of:
9
36
What are the names of regular polygons with:
a) eight sides;
b) nine sides;
c) ten sides.
Octagon, Nonagon and Decagon (all regular)
Round to three significant figures:
a) 94.65; 94.6
b) 878654; 879000
c) 53; 53.0
d) 0.005395; 0.00540
Find the area of a triangle that has a base of 7cm and a height of 12cm.
42cm2
Find the area of a trapezium that has a base of 10cm, a height of 12cm and a top (parallel to base) of 4cm. 84cm2
Evaluate:
\( \frac{1}{2} + \frac{4}{6}\) \(= 1\frac{1}{6}\)
Evaluate:
\( \frac{2}{3} × \frac{5}{6}\) \(= \frac{5}{9}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{4}{3}\) \(= \frac{3}{8}\)
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.
\( \frac{2}{3}\) \(= 66.7\)%
Find the area of a circle that has a radius of 9cm. Give your answer to three significant figures.
254cm2
Find the circumference of a circle that has a radius of 5cm. Give your answer to three significant figures.
31.4cm
Calculate the value of:
6.5 + 9.9
= 16.4
Calculate the value of:
9.3 − 2.7
= 6.6
Calculate the value of:
8.4 × 7.3
= 61.32
Calculate the value of:
84.8 ÷ 16
= 5.3
What is the value of:
33
= 27
What is the value of:
\(3^{-1}\)
\(= \frac{1}{3}\)
Calculate the value of:
36 + 87
= 123
Calculate the value of:
92 − 26
= 66
Calculate the value of:
32 × 39
= 1248
Calculate the value of:
1496 ÷ 22
= 68
Find the value of:
25% of 320
= 80
Find the value of:
5.15 × 103
= 5150
Find the highest common factor of thirty five and twenty.
= 5
4 × 3 = 12 | 7 × 2 = 14 |
8 × 4 = 32 | 6 × 4 = 24 |
3 × 3 = 9 | 5 × 3 = 15 |
9 × 2 = 18 | 2 × 3 = 6 |
3 × 3 = 9 | 5 × 10 = 50 |
7 × 2 = 14 | 8 × 11 = 88 |
4 × 10 = 40 | 9 × 7 = 63 |
6 × 9 = 54 | 2 × 6 = 12 |
8 × 2 = 16 | 9 × 2 = 18 |
3 × 2 = 6 | 5 × 2 = 10 |
6 × 2 = 12 | 7 × 2 = 14 |
4 × 2 = 8 | 2 × 2 = 4 |
7 × 3 = 21 | 8 × 3 = 24 |
4 × 3 = 12 | 9 × 3 = 27 |
5 × 3 = 15 | 6 × 3 = 18 |
3 × 3 = 9 | 2 × 3 = 6 |
7 × 4 = 28 | 3 × 4 = 12 |
4 × 4 = 16 | 5 × 4 = 20 |
8 × 4 = 32 | 9 × 4 = 36 |
6 × 4 = 24 | 2 × 4 = 8 |
9 × 5 = 45 | 8 × 5 = 40 |
3 × 5 = 15 | 7 × 5 = 35 |
4 × 5 = 20 | 6 × 5 = 30 |
5 × 5 = 25 | 2 × 5 = 10 |
3 × 6 = 18 | 7 × 6 = 42 |
6 × 6 = 36 | 5 × 6 = 30 |
4 × 6 = 24 | 9 × 6 = 54 |
8 × 6 = 48 | 2 × 6 = 12 |
8 × 7 = 56 | 7 × 7 = 49 |
9 × 7 = 63 | 4 × 7 = 28 |
6 × 7 = 42 | 3 × 7 = 21 |
5 × 7 = 35 | 2 × 7 = 14 |
6 × 8 = 48 | 9 × 8 = 72 |
5 × 8 = 40 | 8 × 8 = 64 |
4 × 8 = 32 | 3 × 8 = 24 |
7 × 8 = 56 | 2 × 8 = 16 |
7 × 9 = 63 | 6 × 9 = 54 |
4 × 9 = 36 | 8 × 9 = 72 |
9 × 9 = 81 | 5 × 9 = 45 |
3 × 9 = 27 | 2 × 9 = 18 |
3 × 12 = 36 | 4 × 12 = 48 |
9 × 12 = 108 | 5 × 12 = 60 |
6 × 12 = 72 | 7 × 12 = 84 |
8 × 12 = 96 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{20}{32}\) \(= \frac{5}{8}\)
Evaluate:
\( 3\frac{2}{3} − \frac{5}{6}\) \(= 2\frac{5}{6}\)
Find AC if AB = 5.6m and BC = 6.6m. 3.49m
Find angle BCA if AC = 5.1m and BC = 6.8m. 41.4o
Find AC if angle BCA = 26o and AB = 4.5m. 9.23m
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 to 3 significant figures.
\( \frac{2}{6}\) \(= 0.333\)
Convert this decimal to a fraction.
\(0.72\) = \( \frac{18}{25}\)
Increase £180 by 35%
£243
What is the lowest common multiple of eight and twenty four.
= 24
4,12,20,28,36...
Find the:
a) next term; 44
b) nth term; 8n - 4
c) term number 44; 348
5,10,20,40,80...
Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 11; 5120
If £120 is invested for 9 years with a simple interest rate of 3%, find the amount of interest earned. £32.40
If £160 is invested with an interest rate of 4% compounded annually, find the value of the investment after 5 years. £194.66
If £1 is worth $1.34, convert:
a) £120 to dollars; $160.80
b) $140 to pounds; £104.48
What are the coordinates of the midpoint of the line joining:
\((6,2) \text{ and } (18,8)\)
(12,5)
What is the gradient of the line joining:
\((-3,-6) \text{ and } (0,0)\)
2
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,3),(8,8),(-1,7)\)
(3,12)
a) 6 − 15 = -9
b) 6 × (-12) = -72
c) (7−14)(7−16) = 63
d) 72 ÷ (-12) = -6
e) (-11)2 = 121
If p = 5, q = 21 and
r = -6 evaluate:
a) 2q − p = 37
b) pq + r = 99
c) p2 − 5q - r = -74
Solve:
\(5x = 10\)
\(x = 2\)
Solve:
\(2x -3= 3\)
\(x = 3\)
Solve:
\(6x +5= 5x + 10\)
\(x = 5\)
Solve:
\(3(4x -5)-7= 26\)
\(x = 4\)
Solve:
\(5(3x + 2)= 3(4x + 3)\)
\(x = -0.333 \text{(to 3 sf)}\)
Solve:
\(2x+2y = 12\)
\(4x-2y = 0\)
\(x = 2, y = 4\)
Solve:
\(4x+3y = 33\)
\(5x-6y = -27\)
\(x = 3, y = 7\)
Solve:
\(2x+5y = 23.5\)
\(3x+2y = -11.5\)
\(x = -9.5, y = 8.5\)
Find the union of:
{1,2,3,4,5} and
{6,7,8,9,10}
{1,2,3,4,5,6,7,8,9,10}
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 346o. What bearing would it return on from B to A? 166o
A number is picked at random from the set
{2,6,12}
what is the probability it is even? 1
Evaluate:
2 + (7 × 92 − 9)
560
Simplify the following by collecting like terms:
\(b+4c-7b+4c\)
\(8c-6b\)
Divide 99 in the ratio
2:7
22 and 77
Draw a rough sketch of the graph of:
\(y=-2x+2\)
Gradient -2
y intercept 2
Express the following number as the product of prime numbers:
72
2 x 2 x 2 x 3 x 3
In a sale an item costs £126 after a 10% reduction. What was the original price?
£140
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.
0.242424... \(\frac{8}{33}\)
Decrease £120 by 10%
£108
Expand:
\(2(5x-9)\)
\(10x-18\)
Expand:
\((x+4)(x-2)\)
\(x^2+2x-8\)
Factorise:
\(12x-21\)
\(3(4x-7)\)
Factorise:
\(x^2-2x-8\)
\((x+2)(x-4)\)
Factorise:
\(4x^2-13x-12\)
\((4x+3)(x-4)\)
Which theorem?
Find the value of:
3.54 × 10-4
= 0.000354
Write in standard form:
46300
= 4.63 × 104
Write in standard form:
0.0000541
= 5.41 × 10-5
Find the nth term:
\(16, 28, 44, 64, 88, \)
\(2n^2+6n+8\)
Multiply 6 × 104
by 5 × 104 and give the answer in standard form.
= 3 × 109
Solve:
\(x^2+x-12= 0\)
\(x = 3\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2-2x-4 = 0\)
\(x = 1.12\) and \(-0.717\)
What is the size of each interior angle of a regular heptagon?
128.6°
Make \(f\) the subject of the formula
$$h=g(e-f)$$
$$f=e-\frac{h}{g}$$
Calculate the value of:
3604 ÷ 4
= 901
What is the 8th:
a) Cube number; 512
b) Triangular number; 36
c) Fibonacci number. 21
What are the three largest square numbers less than
81
64, 49, 36
What is the 7th prime number?
17
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: 7.07, 0.7, 0.77, 7, 7.7, 7.77, 0.07, in ascending order.
0.07, 0.7, 0.77, 7, 7.07, 7.7, 7.77,
Write down these lengths: 1.8m, 1.08m, 107cm, 18mm, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 173ml, 18cl, 17cl, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
c = 81
d = 91
Round to one significant figure:
a) 77.77; 80
b) 220683; 200000
c) 60; 60
d) 0.00563; 0.006
Round each value to one significant figure to make an estimate:$$23 + 6.7 \times 61$$\(20 + 7 \times 60 = 440\)
A pie chart shows the colours of 20 books. What sector angle represents the
8 red books?
144°
What is the equation?
\(y=6-2x\)A pie chart shows the colours of 8 hats. How many green hats are represented
by a sector
angle of 135°?
3
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