What is the 11th:
a) Odd number; 21
b) Square number; 121
c) Prime number. 31
Find all the factors of:
44
1, 2, 4, 11, 22, 44.
Subtract the 4th from the 7th multiples of:
9
27
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) 58.15; 58.2
b) 791726; 792000
c) 45; 45.0
d) 0.004595; 0.00460
Find the area of a triangle that has a base of 5cm and a height of 8cm.
20cm2
Find the area of a trapezium that has a base of 15cm, a height of 6cm and a top (parallel to base) of 5cm. 60cm2
Evaluate:
\( \frac{3}{6} + \frac{7}{9}\) \(= 1\frac{5}{18}\)
Evaluate:
\( \frac{1}{2} × \frac{3}{4}\) \(= \frac{3}{8}\)
Evaluate:
\( \frac{1}{3} ÷ \frac{5}{4}\) \(= \frac{4}{15}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{1}{5}\) \(= 20\)%
Find the area of a circle that has a radius of 11cm. Give your answer to three significant figures.
380cm2
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:
9.5 + 6.6
= 16.1
Calculate the value of:
7.2 − 4.5
= 2.7
Calculate the value of:
3.6 × 3.7
= 13.32
Calculate the value of:
61.1 ÷ 13
= 4.7
What is the value of:
13
= 1
What is the value of:
\(3^{-2}\)
\(= \frac{1}{9}\)
Calculate the value of:
27 + 48
= 75
Calculate the value of:
91 − 27
= 64
Calculate the value of:
48 × 54
= 2592
Calculate the value of:
936 ÷ 18
= 52
Find the value of:
10% of 40
= 4
Find the value of:
7.44 × 102
= 744
Find the highest common factor of twenty one and six.
= 3
5 × 2 = 10 | 4 × 3 = 12 |
3 × 3 = 9 | 6 × 4 = 24 |
7 × 2 = 14 | 8 × 2 = 16 |
9 × 2 = 18 | 2 × 4 = 8 |
5 × 7 = 35 | 9 × 12 = 108 |
3 × 7 = 21 | 7 × 6 = 42 |
8 × 9 = 72 | 6 × 11 = 66 |
4 × 2 = 8 | 2 × 2 = 4 |
6 × 2 = 12 | 8 × 2 = 16 |
4 × 2 = 8 | 9 × 2 = 18 |
3 × 2 = 6 | 5 × 2 = 10 |
7 × 2 = 14 | 2 × 2 = 4 |
3 × 3 = 9 | 4 × 3 = 12 |
6 × 3 = 18 | 5 × 3 = 15 |
9 × 3 = 27 | 7 × 3 = 21 |
8 × 3 = 24 | 2 × 3 = 6 |
8 × 4 = 32 | 7 × 4 = 28 |
6 × 4 = 24 | 4 × 4 = 16 |
5 × 4 = 20 | 9 × 4 = 36 |
3 × 4 = 12 | 2 × 4 = 8 |
5 × 5 = 25 | 8 × 5 = 40 |
9 × 5 = 45 | 6 × 5 = 30 |
4 × 5 = 20 | 3 × 5 = 15 |
7 × 5 = 35 | 2 × 5 = 10 |
9 × 6 = 54 | 4 × 6 = 24 |
5 × 6 = 30 | 6 × 6 = 36 |
3 × 6 = 18 | 7 × 6 = 42 |
8 × 6 = 48 | 2 × 6 = 12 |
6 × 7 = 42 | 3 × 7 = 21 |
7 × 7 = 49 | 4 × 7 = 28 |
5 × 7 = 35 | 8 × 7 = 56 |
9 × 7 = 63 | 2 × 7 = 14 |
4 × 8 = 32 | 6 × 8 = 48 |
3 × 8 = 24 | 9 × 8 = 72 |
5 × 8 = 40 | 8 × 8 = 64 |
7 × 8 = 56 | 2 × 8 = 16 |
8 × 9 = 72 | 5 × 9 = 45 |
9 × 9 = 81 | 4 × 9 = 36 |
7 × 9 = 63 | 6 × 9 = 54 |
3 × 9 = 27 | 2 × 9 = 18 |
8 × 12 = 96 | 9 × 12 = 108 |
3 × 12 = 36 | 5 × 12 = 60 |
7 × 12 = 84 | 4 × 12 = 48 |
6 × 12 = 72 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{16}{28}\) \(= \frac{4}{7}\)
Evaluate:
\( 2\frac{4}{5} − \frac{7}{8}\) \(= 1\frac{37}{40}\)
Find AB if AC = 5.5m and BC = 7.5m. 5.10m
Find angle BCA if AB = 3.3m and AC = 4.4m. 36.9o
Find AC if angle BCA = 45o and AB = 3.5m. 3.50m
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.
\( \frac{4}{7}\) \(= 0.571\)
Convert this decimal to a fraction.
\(0.01\) = \( \frac{1}{100}\)
Increase £140 by 10%
£154
What is the lowest common multiple of ten and thirty.
= 30
2,9,16,23,30...
Find the:
a) next term; 37
b) nth term; 7n - 5
c) term number 41; 282
3,6,12,24,48...
Find the:
a) next term; 96
b) nth term; 3 × 2n-1
c) term number 9; 768
If £180 is invested for 9 years with a simple interest rate of 5%, find the amount of interest earned. £81.00
If £140 is invested with an interest rate of 3% compounded annually, find the value of the investment after 9 years. £182.67
If £1 is worth $1.36, convert:
a) £180 to dollars; $244.80
b) $240 to pounds; £176.47
What are the coordinates of the midpoint of the line joining:
\((4,-5) \text{ and } (16,3)\)
(10,-1)
What is the gradient of the line joining:
\((-7,9) \text{ and } (-4,12)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((3,4),(7,7),(0,8)\)
(4,11)
a) 7 − 12 = -5
b) 7 × (-8) = -56
c) (11−21)(11−16) = 50
d) 56 ÷ (-8) = -7
e) (-6)2 = 36
If p = 5, q = 17 and
r = -10 evaluate:
a) 2q − p = 29
b) pq + r = 75
c) p2 − 5q - r = -50
Solve:
\(5x = 40\)
\(x = 8\)
Solve:
\(3x -1= 14\)
\(x = 5\)
Solve:
\(8x -5= 4x + 7\)
\(x = 3\)
Solve:
\(4(2x -6)+11= 11\)
\(x = 3\)
Solve:
\(5(2x + 2)= 2(4x + 5)\)
\(x = 0\)
Solve:
\(5x-3y = 26\)
\(4x-3y = 19\)
\(x = 7, y = 3\)
Solve:
\(4x-4y = 12\)
\(7x+8y = 81\)
\(x = 7, y = 4\)
Solve:
\(3x-5y = 46.5\)
\(5x-3y = 45.5\)
\(x = 5.5, y = -6\)
Find the union of:
{2,4,6,8,10} and
{3,4,5,6,7,8}
{2,3,4,5,6,7,8,10}
Find the intersection of:
{1,2,3,4,5} and
{2,4,6,8,10}
{2,4}
A plane flies from point A to point B on a bearing of 340o. What bearing would it return on from B to A? 160o
A number is picked at random from the set
{2,6,12}
what is the probability it is even? 1
Evaluate:
(14 − 3)2 + 8 × 2
137
Simplify the following by collecting like terms:
\(3a+5b-3a+4b^2\)
\(5b+4b^2\)
Divide 150 in the ratio
9:6
90 and 60
Draw a rough sketch of the graph of:
\(y=-2x+1\)
Gradient -2
y intercept 1
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 £44 after a 45% reduction. What was the original price?
£80
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.
0.757575... \(\frac{25}{33}\)
Decrease £40 by 45%
£22
Expand:
\(3(4x-9)\)
\(12x-27\)
Expand:
\((3x+2)(3x-3)\)
\(9x^2-3x-6\)
Factorise:
\(45x-35\)
\(5(9x-7)\)
Factorise:
\(x^2-16\)
\((x+4)(x-4)\)
Factorise:
\(2x^2+x-1\)
\((x+1)(2x-1)\)
Which theorem?
Find the value of:
6.27 × 10-3
= 0.00627
Write in standard form:
785
= 7.85 × 102
Write in standard form:
0.00189
= 1.89 × 10-3
Find the nth term:
\(5, 13, 23, 35, 49, \)
\(n^2+5n-1\)
Multiply 9 × 102
by 8 × 105 and give the answer in standard form.
= 7.2 × 108
Solve:
\(x^2+x-12= 0\)
\(x = 3\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+3x-1 = 0\)
\(x = 0.264\) and \(-1.26\)
What is the size of each exterior angle of a regular pentagon?
72°
Make \(b\) the subject of the formula
$$c=3b-5$$
$$b=\frac{c+5}{3}$$
Calculate the value of:
2387 ÷ 7
= 341
What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5
What are the next three square numbers after
121
144, 169, 196
What is the 5th prime number?
11
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, 9.9, 0.9, 0.99, 9.99, 9.09, 0.09, in ascending order.
0.09, 0.9, 0.99, 9, 9.09, 9.9, 9.99,
Write down these lengths: 18mm, 1.08m, 107cm, 17cm, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 17cl, 18cl, 200ml, 173ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
i = 54
h = 75
Round to one significant figure:
a) 96.02; 100
b) 660943; 700000
c) 67; 70
d) 0.00566; 0.006
Round each value to one significant figure to make an estimate:$$(172 + 5.6) \div 16$$\((200 + 6) \div 20 = 10.3\)
A pie chart shows the colours of 90 books. What sector angle represents the
55 red books?
220°
What is the equation?
\(y=x-1\)A pie chart shows the colours of 120 hats. How many green hats are represented
by a sector
angle of 135°?
45
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