What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13
Find all the factors of:
36
1, 2, 3, 4, 6, 9, 12, 18, 36.
Subtract the 4th from the 8th multiples of:
11
44
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) 40.37; 40.4
b) 383509; 384000
c) 32; 32.0
d) 0.003295; 0.00330
Find the area of a triangle that has a base of 4cm and a height of 8cm.
16cm2
Find the area of a trapezium that has a base of 11cm, a height of 6cm and a top (parallel to base) of 3cm. 42cm2
Evaluate:
\( \frac{4}{5} + \frac{7}{8}\) \(= 1\frac{27}{40}\)
Evaluate:
\( \frac{2}{3} × \frac{5}{7}\) \(= \frac{10}{21}\)
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.
\( \frac{3}{5}\) \(= 60\)%
Find the area of a circle that has a radius of 2cm. Give your answer to three significant figures.
12.6cm2
Find the circumference of a circle that has a radius of 11cm. Give your answer to three significant figures.
69.1cm
Calculate the value of:
9.7 + 3.5
= 13.2
Calculate the value of:
5.2 − 1.7
= 3.5
Calculate the value of:
6.6 × 4.8
= 31.68
Calculate the value of:
44.8 ÷ 14
= 3.2
What is the value of:
13
= 1
What is the value of:
\(4^{1}\)
\(= 4\)
Calculate the value of:
68 + 86
= 154
Calculate the value of:
71 − 28
= 43
Calculate the value of:
93 × 98
= 9114
Calculate the value of:
1587 ÷ 23
= 69
Find the value of:
95% of 360
= 342
Find the value of:
2.91 × 102
= 291
Find the highest common factor of forty five and ten.
= 5
6 × 2 = 12 | 4 × 4 = 16 |
8 × 3 = 24 | 9 × 3 = 27 |
5 × 2 = 10 | 7 × 4 = 28 |
3 × 2 = 6 | 2 × 5 = 10 |
3 × 8 = 24 | 6 × 7 = 42 |
4 × 5 = 20 | 7 × 2 = 14 |
9 × 6 = 54 | 8 × 4 = 32 |
5 × 3 = 15 | 2 × 7 = 14 |
5 × 2 = 10 | 6 × 2 = 12 |
9 × 2 = 18 | 4 × 2 = 8 |
8 × 2 = 16 | 3 × 2 = 6 |
7 × 2 = 14 | 2 × 2 = 4 |
7 × 3 = 21 | 3 × 3 = 9 |
9 × 3 = 27 | 4 × 3 = 12 |
8 × 3 = 24 | 6 × 3 = 18 |
5 × 3 = 15 | 2 × 3 = 6 |
7 × 4 = 28 | 5 × 4 = 20 |
8 × 4 = 32 | 6 × 4 = 24 |
3 × 4 = 12 | 9 × 4 = 36 |
4 × 4 = 16 | 2 × 4 = 8 |
5 × 5 = 25 | 3 × 5 = 15 |
8 × 5 = 40 | 4 × 5 = 20 |
6 × 5 = 30 | 7 × 5 = 35 |
9 × 5 = 45 | 2 × 5 = 10 |
5 × 6 = 30 | 3 × 6 = 18 |
6 × 6 = 36 | 7 × 6 = 42 |
8 × 6 = 48 | 4 × 6 = 24 |
9 × 6 = 54 | 2 × 6 = 12 |
6 × 7 = 42 | 3 × 7 = 21 |
8 × 7 = 56 | 9 × 7 = 63 |
5 × 7 = 35 | 7 × 7 = 49 |
4 × 7 = 28 | 2 × 7 = 14 |
9 × 8 = 72 | 6 × 8 = 48 |
3 × 8 = 24 | 7 × 8 = 56 |
4 × 8 = 32 | 5 × 8 = 40 |
8 × 8 = 64 | 2 × 8 = 16 |
5 × 9 = 45 | 6 × 9 = 54 |
9 × 9 = 81 | 4 × 9 = 36 |
8 × 9 = 72 | 3 × 9 = 27 |
7 × 9 = 63 | 2 × 9 = 18 |
7 × 12 = 84 | 3 × 12 = 36 |
8 × 12 = 96 | 5 × 12 = 60 |
9 × 12 = 108 | 4 × 12 = 48 |
6 × 12 = 72 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{16}{28}\) \(= \frac{4}{7}\)
Evaluate:
\( 2\frac{2}{3} − \frac{5}{6}\) \(= 1\frac{5}{6}\)
Find AC if AB = 3.7m and BC = 4.7m. 2.90m
Find angle ABC if AC = 3.5m and AB = 5.5m. 32.5o
Find BC if angle BCA = 51o and AB = 3.2m. 4.12m
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.
\( \frac{3}{5}\) \(= 0.6\)
Convert this decimal to a fraction.
\(0.31\) = \( \frac{31}{100}\)
Increase £100 by 45%
£145
What is the lowest common multiple of fifteen and thirty five.
= 105
6,17,28,39,50...
Find the:
a) next term; 61
b) nth term; 11n - 5
c) term number 31; 336
6,18,54,162,486...
Find the:
a) next term; 1458
b) nth term; 6 × 3n-1
c) term number 10; 118098
If £200 is invested for 8 years with a simple interest rate of 2%, find the amount of interest earned. £32.00
If £100 is invested with an interest rate of 2% compounded annually, find the value of the investment after 4 years. £108.24
If £1 is worth $1.25, convert:
a) £200 to dollars; $250.00
b) $220 to pounds; £176.00
What are the coordinates of the midpoint of the line joining:
\((4,-9) \text{ and } (10,3)\)
(7,-3)
What is the gradient of the line joining:
\((-7,-1) \text{ and } (-4,3)\)
\(\frac{4}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((1,2),(7,7),(-4,8)\)
(2,13)
a) 8 − 18 = -10
b) 8 × (-7) = -56
c) (10−21)(7−12) = 55
d) 56 ÷ (-7) = -8
e) (-7)2 = 49
If p = 6, q = 24 and
r = -9 evaluate:
a) 2q − p = 42
b) pq + r = 135
c) p2 − 5q - r = -75
Solve:
\(5x = 20\)
\(x = 4\)
Solve:
\(4x -7= 25\)
\(x = 8\)
Solve:
\(11x +4= 6x + 39\)
\(x = 7\)
Solve:
\(5(4x -2)+10= 60\)
\(x = 3\)
Solve:
\(2(2x + 3)= 4(5x + 2)\)
\(x = -0.125\)
Solve:
\(2x-2y = -2\)
\(4x+2y = 14\)
\(x = 2, y = 3\)
Solve:
\(4x-4y = -12\)
\(5x+16y = 111\)
\(x = 3, y = 6\)
Solve:
\(2x+2y = 29\)
\(3x-5y = -32.5\)
\(x = 5, y = 9.5\)
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:
{5,6,7,8,9,10} and
{3,6,9,12,15}
{6,9}
A plane flies from point A to point B on a bearing of 137o. What bearing would it return on from B to A? 317o
A number is picked at random from the set
{2,6,12}
what is the probability it is even? 1
Evaluate:
(15 − 8)2 + 9 × 6
103
Simplify the following by collecting like terms:
\(6m+7+5m+8\)
\(11m+15\)
Divide 72 in the ratio
3:5
27 and 45
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:
60
2 x 2 x 3 x 5
In a sale an item costs £135 after a 25% reduction. What was the original price?
£180
Find the mean, mode, median and range of the following:
1,3,5,7,9
Mean = 5, no mode,
median = 5 and range = 8
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.464646... \(\frac{46}{99}\)
Decrease £100 by 20%
£80
Expand:
\(2(7x-6)\)
\(14x-12\)
Expand:
\((x+1)(2x-4)\)
\(2x^2-2x-4\)
Factorise:
\(20x-24\)
\(4(5x-6)\)
Factorise:
\(x^2+x-2\)
\((x+2)(x-1)\)
Factorise:
\(2x^2+7x-4\)
\((x+4)(2x-1)\)
Which theorem?
Find the value of:
3.58 × 10-5
= 0.0000358
Write in standard form:
446000
= 4.46 × 105
Write in standard form:
0.0000771
= 7.71 × 10-5
Find the nth term:
\(12, 26, 46, 72, 104, \)
\(3n^2+5n+4\)
Multiply 6 × 104
by 6 × 106 and give the answer in standard form.
= 3.6 × 1011
Solve:
\(x^2-x-6= 0\)
\(x = 3\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2-5x-1 = 0\)
\(x = 1.43\) and \(-0.175\)
What is the size of each exterior angle of a regular nonagon?
40°
Make \(j\) the subject of the formula
$$b=\frac{3(j-4)}{c}$$
$$j=\frac{bc}{3}+4$$
Calculate the value of:
837 ÷ 3
= 279
What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8
What are the three largest square numbers less than
144
121, 100, 81
What are the three largest prime numbers less than
31
29, 23, 19
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: 9.09, 9.99, 9, 0.99, 9.9, 0.9, 0.09, in ascending order.
0.09, 0.9, 0.99, 9, 9.09, 9.9, 9.99,
Write down these lengths: 1.08m, 107cm, 1.8m, 18mm, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 173ml, 200ml, 17cl, 18cl, 21cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
b = 52
b = 48
Round to one significant figure:
a) 16.14; 20
b) 776156; 800000
c) 51; 50
d) 0.00459; 0.005
Round each value to one significant figure to make an estimate:$$62 + 2.6 \times 81$$\(60 + 3 \times 80 = 300\)
A pie chart shows the colours of 8 books. What sector angle represents the
2 red books?
90°
What is the equation?
\(y=3-0.5x\)A pie chart shows the colours of 12 hats. How many green hats are represented
by a sector
angle of 210°?
7
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