What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13
Find all the factors of:
50
1, 2, 5, 10, 25, 50.
Subtract the 4th from the 7th multiples of:
5
15
What are the names of regular polygons with:
a) six sides;
b) seven sides;
c) eight sides.
Hexagon, Heptagon and Octagon (all regular)
Round to three significant figures:
a) 25.55; 25.6
b) 220342; 220000
c) 40; 40.0
d) 0.004095; 0.00410
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 14cm, a height of 11cm and a top (parallel to base) of 6cm. 110cm2
Evaluate:
\( \frac{1}{2} + \frac{3}{6}\) \(= 1\)
Evaluate:
\( \frac{3}{4} × \frac{5}{6}\) \(= \frac{5}{8}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{5}{4}\) \(= \frac{8}{15}\)
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.
\( \frac{5}{7}\) \(= 71.4\)%
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 8cm. Give your answer to three significant figures.
50.3cm
Calculate the value of:
5.9 + 2.6
= 8.5
Calculate the value of:
9.1 − 1.8
= 7.3
Calculate the value of:
3.5 × 9.8
= 34.3
Calculate the value of:
57.6 ÷ 18
= 3.2
What is the value of:
53
= 125
What is the value of:
\(4^{1}\)
\(= 4\)
Calculate the value of:
69 + 46
= 115
Calculate the value of:
72 − 28
= 44
Calculate the value of:
95 × 36
= 3420
Calculate the value of:
1596 ÷ 28
= 57
Find the value of:
95% of 100
= 95
Find the value of:
5.51 × 105
= 551000
Find the highest common factor of eighteen and nine.
= 9
5 × 2 = 10 | 4 × 4 = 16 |
9 × 2 = 18 | 7 × 4 = 28 |
8 × 5 = 40 | 6 × 4 = 24 |
3 × 3 = 9 | 2 × 4 = 8 |
7 × 7 = 49 | 8 × 11 = 88 |
9 × 8 = 72 | 4 × 5 = 20 |
6 × 2 = 12 | 5 × 8 = 40 |
3 × 12 = 36 | 2 × 11 = 22 |
4 × 2 = 8 | 3 × 2 = 6 |
9 × 2 = 18 | 8 × 2 = 16 |
5 × 2 = 10 | 7 × 2 = 14 |
6 × 2 = 12 | 2 × 2 = 4 |
3 × 3 = 9 | 7 × 3 = 21 |
9 × 3 = 27 | 6 × 3 = 18 |
4 × 3 = 12 | 5 × 3 = 15 |
8 × 3 = 24 | 2 × 3 = 6 |
5 × 4 = 20 | 9 × 4 = 36 |
3 × 4 = 12 | 4 × 4 = 16 |
6 × 4 = 24 | 7 × 4 = 28 |
8 × 4 = 32 | 2 × 4 = 8 |
9 × 5 = 45 | 3 × 5 = 15 |
7 × 5 = 35 | 8 × 5 = 40 |
5 × 5 = 25 | 4 × 5 = 20 |
6 × 5 = 30 | 2 × 5 = 10 |
6 × 6 = 36 | 9 × 6 = 54 |
5 × 6 = 30 | 3 × 6 = 18 |
7 × 6 = 42 | 4 × 6 = 24 |
8 × 6 = 48 | 2 × 6 = 12 |
8 × 7 = 56 | 9 × 7 = 63 |
3 × 7 = 21 | 7 × 7 = 49 |
5 × 7 = 35 | 4 × 7 = 28 |
6 × 7 = 42 | 2 × 7 = 14 |
4 × 8 = 32 | 7 × 8 = 56 |
3 × 8 = 24 | 5 × 8 = 40 |
8 × 8 = 64 | 6 × 8 = 48 |
9 × 8 = 72 | 2 × 8 = 16 |
4 × 9 = 36 | 3 × 9 = 27 |
9 × 9 = 81 | 8 × 9 = 72 |
7 × 9 = 63 | 5 × 9 = 45 |
6 × 9 = 54 | 2 × 9 = 18 |
7 × 12 = 84 | 8 × 12 = 96 |
6 × 12 = 72 | 9 × 12 = 108 |
4 × 12 = 48 | 5 × 12 = 60 |
3 × 12 = 36 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{18}{24}\) \(= \frac{3}{4}\)
Evaluate:
\( 3\frac{3}{4} − \frac{5}{6}\) \(= 2\frac{11}{12}\)
Find BC if AB = 4.9m and AC = 6.8m. 8.38m
Find angle ABC if AC = 4.8m and AB = 5.8m. 39.6o
Find AB if angle ABC = 68o and BC = 4.8m. 1.80m
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.
\( \frac{4}{6}\) \(= 0.667\)
Convert this decimal to a fraction.
\(0.01\) = \( \frac{1}{100}\)
Increase £160 by 5%
£168
What is the lowest common multiple of eight and ten.
= 40
4,10,16,22,28...
Find the:
a) next term; 34
b) nth term; 6n - 2
c) term number 31; 184
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 8 years with a simple interest rate of 2%, find the amount of interest earned. £22.40
If £100 is invested with an interest rate of 3% compounded annually, find the value of the investment after 8 years. £126.68
If £1 is worth $1.29, convert:
a) £160 to dollars; $206.40
b) $200 to pounds; £155.04
What are the coordinates of the midpoint of the line joining:
\((-1,4) \text{ and } (7,10)\)
(3,7)
What is the gradient of the line joining:
\((9,-3) \text{ and } (12,3)\)
2
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((2,4),(5,9),(-3,7)\)
(0,12)
a) 8 − 14 = -6
b) 8 × (-10) = -80
c) (7−12)(7−14) = 35
d) 80 ÷ (-10) = -8
e) (-11)2 = 121
If p = 5, q = 19 and
r = -10 evaluate:
a) 2q − p = 33
b) pq + r = 85
c) p2 − 5q - r = -60
Solve:
\(5x = 30\)
\(x = 6\)
Solve:
\(5x -6= 19\)
\(x = 5\)
Solve:
\(8x -2= 3x + 43\)
\(x = 9\)
Solve:
\(4(2x +3)+7= 91\)
\(x = 9\)
Solve:
\(4(3x + 5)= 3(2x + 2)\)
\(x = -2.33 \text{(to 3 sf)}\)
Solve:
\(3x-3y = 3\)
\(4x+3y = 39\)
\(x = 6, y = 5\)
Solve:
\(4x+3y = 37\)
\(5x-9y = -43\)
\(x = 4, y = 7\)
Solve:
\(5x-5y = -17.5\)
\(3x+2y = 29.5\)
\(x = 4.5, y = 8\)
Find the union of:
{1,3,5,7,9} and
{3,4,5,6,7,8}
{1,3,4,5,6,7,8,9}
Find the intersection of:
{1,2,3,4,5} and
{1,3,6,10,15}
{1,3}
A plane flies from point A to point B on a bearing of 274o. What bearing would it return on from B to A? 094o
A number is picked at random from the set
{1,3,6,10,15}
what is the probability it is even? \(\frac25\)
Evaluate:
52 − 7 × 7 + 6
-18
Simplify the following by collecting like terms:
\(5a−5−4a−5\)
\(a-10\)
Divide 36 in the ratio
1:2
12 and 24
Draw a rough sketch of the graph of:
\(y=2x\)
Gradient 2
y intercept 0
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 £102 after a 15% reduction. What was the original price?
£120
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.
0.585858... \(\frac{58}{99}\)
Decrease £140 by 25%
£105
Expand:
\(5(4x-9)\)
\(20x-45\)
Expand:
\((x+4)(4x-4)\)
\(4x^2+12x-16\)
Factorise:
\(6x-8\)
\(2(3x-4)\)
Factorise:
\(x^2-2x-8\)
\((x+2)(x-4)\)
Factorise:
\(4x^2-1\)
\((2x+1)(2x-1)\)
Which theorem?
Find the value of:
1.43 × 10-5
= 0.0000143
Write in standard form:
5620000
= 5.62 × 106
Write in standard form:
0.000762
= 7.62 × 10-4
Find the nth term:
\(3, 7, 13, 21, 31, \)
\(n^2+n+1\)
Multiply 4 × 104
by 8 × 106 and give the answer in standard form.
= 3.2 × 1011
Solve:
\(x^2-2x-8= 0\)
\(x = 4\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+3x-4 = 0\)
\(x = 0.758\) and \(-1.76\)
What is the size of each interior angle of a regular heptagon?
128.6°
Make \(k\) the subject of the formula
$$c=\frac{a(2+k)}{b}$$
$$k=\frac{bc}{a}-2$$
Calculate the value of:
2136 ÷ 6
= 356
What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8
What is the square of
5
25
What is the difference between the 11th and the 12th prime numbers?
37 - 31 = 6
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, 1.11, 1, 0.1, 1.01, 0.11, 0.01, in ascending order.
0.01, 0.1, 0.11, 1, 1.01, 1.1, 1.11,
Write down these lengths: 107cm, 18mm, 1.08m, 1.8m, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 200ml, 17cl, 173ml, 18cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
h = 75
d = 91
Round to one significant figure:
a) 47.08; 50
b) 576898; 600000
c) 46; 50
d) 0.00306; 0.003
Round each value to one significant figure to make an estimate:$$83 + 7.6 \times 53$$\(80 + 8 \times 50 = 480\)
A pie chart shows the colours of 40 books. What sector angle represents the
27 red books?
243°
What is the equation?
\(y=4-x\)A pie chart shows the colours of 30 hats. How many green hats are represented
by a sector
angle of 336°?
28
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