What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29
Find all the factors of:
23
1, 23.
Subtract the 7th from the 10th multiples of:
8
24
What are the names of regular polygons with:
a) eight sides;
b) nine sides;
c) ten sides.
Octagon, Nonagon and Decagon (all regular)
Round the following numbers to three significant figures:
a) 17.76; 17.8
b) 353236; 353000
c) 0.005295; 0.00530
Find the area of a triangle that has a base of 4cm and a height of 9cm.
18cm^{2}
Find the area of a trapezium that has a base of 14cm, a height of 6cm and a top (parallel to base) of 6cm. 60cm^{2}
Evaluate:
\( \frac{1}{4} + \frac{7}{8}\) \(= 1\frac{1}{8}\)
Evaluate:
\( \frac{3}{4} × \frac{5}{7}\) \(= \frac{15}{28}\)
Evaluate:
\( \frac{3}{4} ÷ \frac{8}{6}\) \(= \frac{9}{16}\)
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.
\( \frac{4}{7}\) \(= 57.1\)%
Find the area of a circle that has a radius of 1cm. Give your answer to three significant figures.
3.14cm^{2}
Find the circumference of a circle that has a radius of 11cm. Give your answer to three significant figures.
69.1cm^{2}
Calculate the value of:
9.5 + 7.7
= 17.2
Calculate the value of:
8.2 − 1.5
= 6.7
Calculate the value of:
7.7 × 3.7
= 28.49
Calculate the value of:
87.6 ÷ 12
= 7.3
What is the value of:
3^{3}
= 27
What is the value of:
2^{1}
= 0.5
Calculate the value of:
38 + 37
= 75
Calculate the value of:
82 − 27
= 55
Calculate the value of:
55 × 69
= 3795
Calculate the value of:
1584 ÷ 16
= 99
Find the value of:
65% of 60
= 39
Find the value of:
4 × 10^{6}
= 4000000
Find the highest common factor of eighteen and six.
= 6
5 × 4 = 20  3 × 4 = 12 
7 × 2 = 14  9 × 5 = 45 
6 × 5 = 30  8 × 4 = 32 
4 × 3 = 12  2 × 4 = 8 
7 × 3 = 21  4 × 8 = 32 
6 × 3 = 18  5 × 4 = 20 
8 × 11 = 88  3 × 5 = 15 
9 × 3 = 27  2 × 4 = 8 
5 × 2 = 10  9 × 2 = 18 
4 × 2 = 8  8 × 2 = 16 
7 × 2 = 14  3 × 2 = 6 
6 × 2 = 12  2 × 2 = 4 
8 × 3 = 24  7 × 3 = 21 
4 × 3 = 12  6 × 3 = 18 
5 × 3 = 15  3 × 3 = 9 
9 × 3 = 27  2 × 3 = 6 
5 × 4 = 20  8 × 4 = 32 
3 × 4 = 12  6 × 4 = 24 
9 × 4 = 36  4 × 4 = 16 
7 × 4 = 28  2 × 4 = 8 
5 × 5 = 25  6 × 5 = 30 
9 × 5 = 45  7 × 5 = 35 
8 × 5 = 40  4 × 5 = 20 
3 × 5 = 15  2 × 5 = 10 
4 × 6 = 24  8 × 6 = 48 
5 × 6 = 30  7 × 6 = 42 
6 × 6 = 36  9 × 6 = 54 
3 × 6 = 18  2 × 6 = 12 
9 × 7 = 63  4 × 7 = 28 
3 × 7 = 21  8 × 7 = 56 
7 × 7 = 49  5 × 7 = 35 
6 × 7 = 42  2 × 7 = 14 
7 × 8 = 56  3 × 8 = 24 
9 × 8 = 72  5 × 8 = 40 
4 × 8 = 32  8 × 8 = 64 
6 × 8 = 48  2 × 8 = 16 
9 × 9 = 81  7 × 9 = 63 
6 × 9 = 54  5 × 9 = 45 
4 × 9 = 36  8 × 9 = 72 
3 × 9 = 27  2 × 9 = 18 
6 × 12 = 72  7 × 12 = 84 
3 × 12 = 36  9 × 12 = 108 
8 × 12 = 96  4 × 12 = 48 
5 × 12 = 60  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{36}{54}\) \(= \frac{2}{3}\)
Evaluate:
\( 1\frac{3}{4} − \frac{6}{7}\) \(= \frac{25}{28}\)
Find AB if AC = 6m and BC = 7.4m. 4.33m
Find angle ABC if AC = 4.1m and AB = 5.1m. 38.8^{o}
Find AC if angle ABC = 24^{o} and BC = 3.4m. 1.38m
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.
\(0.51\) = \( \frac{51}{100}\)
Increase £100 by 45%
£145
What is the lowest common multiple of six and fourteen.
= 42
3,11,19,27,35...
Find the:
a) next term; 43
b) n^{th} term; 8n  5
c) term number 40; 315
5,10,20,40,80...
Find the:
a) next term; 160
b) n^{th} term; 5 × 2^{n1}
c) term number 9; 1280
If £180 is invested for 7 years with a simple interest rate of 3%, find the amount of interest earned. £37.80
If £160 is invested with an interest rate of 2% compounded annually, find the value of the investment after 8 years. £187.47
If £1 is worth $1.5, convert:
a) £100 to dollars; $150.00
b) $100 to pounds; £66.67
What are the coordinates of the midpoint of the line joining:
\((8,4) \text{ and } (4,4)\)
(2,0)
What is the gradient of the line joining:
\((3,5) \text{ and } (1,10)\)
\(\frac{5}{4}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((2,1),(8,5),(2,7)\)
(4,11)
a) 6 − 17 = 11
b) 6 × (7) = 42
c) (10−18)(11−21) = 80
d) 42 ÷ (7) = 6
e) (12)^{2} = 144
If p = 5, q = 23 and
r = 7 evaluate:
a) 2q − p = 41
b) pq + r = 108
c) p^{2} − 5q  r = 83
Solve:
\(4x = 16\)
\(x = 4\)
Solve:
\(2x 9= 3\)
\(x = 6\)
Solve:
\(6x 3= 2x + 21\)
\(x = 6\)
Solve:
\(2(4x 2)+10= 46\)
\(x = 5\)
Solve:
\(3(2x + 4)= 5(5x + 4)\)
\(x = 0.421 \text{(to 3 sf)}\)
Solve:
\(5x+5y = 65\)
\(2x+5y = 44\)
\(x = 7, y = 6\)
Solve:
\(3x+4y = 37\)
\(3x+12y = 69\)
\(x = 7, y = 4\)
Solve:
\(5x+6y = 76\)
\(6x3y = 4.5\)
\(x = 5, y = 8.5\)
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:
{1,3,5,7,9} and
{5,6,7,8,9,10}
{5,7,9}
A plane flies from point A to point B on a bearing of 010^{o}. What bearing would it return on from B to A? 190^{o}
A number is picked at random from the set
{1,3,6,10,15}
what is the probability it is even? \(\frac25\)
Evaluate:
8^{2} − 6 × 7 + 8
30
Simplify the following by collecting like terms:
\(7d−3e−5d+7e\)
\(4e+2d\)
Divide 80 in the ratio
6:4
48 and 32
Draw a rough sketch of the graph of:
\(y=x+1\)
Gradient 1
y intercept 1
Express the following number as the product of prime numbers:
24
2 x 2 x 2 x 3
In a sale an item costs £39 after a 35% reduction. What was the original price?
£60
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.
0.858585... \(\frac{85}{99}\)
Decrease £180 by 10%
£162
Expand:
\(9(8x9)\)
\(72x81\)
Expand:
\((2x+1)(2x2)\)
\(4x^22x2\)
Factorise:
\(2x6\)
\(2(x3)\)
Factorise:
\(x^21\)
\((x+1)(x1)\)
Factorise:
\(15x^2+2x1\)
\((3x+1)(5x1)\)
Which theorem?
Find the value of:
4.78 × 10^{5}
= 0.0000478
Write in standard form:
3940
= 3.94 × 10^{3}
Write in standard form:
0.000368
= 3.68 × 10^{4}
Find the n^{th} term:
\(8, 23, 44, 71, 104, \)
\(3n^2+6n1\)
Multiply 9 × 10^{6}
by 9 × 10^{3} and give the answer in standard form.
= 8.1 × 10^{10}
Solve:
\(x^2x6= 0\)
\(x = 3\) and \(2\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+5x1 = 0\)
\(x = 0.180\) and \(1.85\)
What is the size of each exterior angle of a regular pentagon?
72°
Make \(k\) the subject of the formula
$$c=\frac{a(2+k)}{b}$$
$$k=\frac{bc}{a}2$$
Calculate the value of:
2877 ÷ 3
= 959
What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13
What is the square root of
1
1
What are the next three prime numbers after
47
53, 59, 61
Write down something you learnt in the previous mathematics lesson.
Write down something you learnt in one of the mathematics lessons last week.
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