
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:
7
21
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) 61.38; 61.4
b) 768519; 769000
c) 97; 97.0
d) 0.009795; 0.00980
Find the area of a triangle that has a base of 3cm and a height of 8cm.
12cm2
Find the area of a trapezium that has a base of 16cm, a height of 8cm and a top (parallel to base) of 6cm. 88cm2
Evaluate:
\( \frac{4}{5} + \frac{7}{9}\) \(= 1\frac{26}{45}\)
Evaluate:
\( \frac{3}{5} × \frac{6}{7}\) \(= \frac{18}{35}\)
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.
\( \frac{1}{2}\) \(= 50\)%
Find the area of a circle that has a radius of 4cm. Give your answer to three significant figures.
50.3cm2
Find the circumference of a circle that has a radius of 6cm. Give your answer to three significant figures.
37.7cm
Calculate the value of:
5.6 + 6.7
= 12.3
Calculate the value of:
6.1 − 1.9
= 4.2
Calculate the value of:
9.6 × 9.2
= 88.32
Calculate the value of:
123.5 ÷ 13
= 9.5
What is the value of:
13
= 1
What is the value of:
\(1^{\frac{1}{2}}\)
\(= 1\)
Calculate the value of:
57 + 88
= 145
Calculate the value of:
51 − 27
= 24
Calculate the value of:
97 × 33
= 3201
Calculate the value of:
1462 ÷ 17
= 86
Find the value of:
75% of 160
= 120
Find the value of:
5.44 × 103
= 5440
Find the highest common factor of twenty one and six.
= 3
9 × 5 = 45 | 3 × 3 = 9 |
8 × 5 = 40 | 7 × 3 = 21 |
4 × 4 = 16 | 5 × 5 = 25 |
6 × 2 = 12 | 2 × 2 = 4 |
8 × 10 = 80 | 6 × 5 = 30 |
3 × 10 = 30 | 5 × 7 = 35 |
4 × 2 = 8 | 9 × 4 = 36 |
7 × 8 = 56 | 2 × 6 = 12 |
3 × 2 = 6 | 7 × 2 = 14 |
8 × 2 = 16 | 6 × 2 = 12 |
9 × 2 = 18 | 5 × 2 = 10 |
4 × 2 = 8 | 2 × 2 = 4 |
4 × 3 = 12 | 3 × 3 = 9 |
6 × 3 = 18 | 5 × 3 = 15 |
9 × 3 = 27 | 7 × 3 = 21 |
8 × 3 = 24 | 2 × 3 = 6 |
3 × 4 = 12 | 8 × 4 = 32 |
9 × 4 = 36 | 5 × 4 = 20 |
6 × 4 = 24 | 7 × 4 = 28 |
4 × 4 = 16 | 2 × 4 = 8 |
7 × 5 = 35 | 4 × 5 = 20 |
9 × 5 = 45 | 8 × 5 = 40 |
3 × 5 = 15 | 5 × 5 = 25 |
6 × 5 = 30 | 2 × 5 = 10 |
9 × 6 = 54 | 8 × 6 = 48 |
3 × 6 = 18 | 7 × 6 = 42 |
4 × 6 = 24 | 5 × 6 = 30 |
6 × 6 = 36 | 2 × 6 = 12 |
5 × 7 = 35 | 8 × 7 = 56 |
9 × 7 = 63 | 3 × 7 = 21 |
4 × 7 = 28 | 6 × 7 = 42 |
7 × 7 = 49 | 2 × 7 = 14 |
5 × 8 = 40 | 8 × 8 = 64 |
3 × 8 = 24 | 7 × 8 = 56 |
6 × 8 = 48 | 9 × 8 = 72 |
4 × 8 = 32 | 2 × 8 = 16 |
5 × 9 = 45 | 8 × 9 = 72 |
4 × 9 = 36 | 9 × 9 = 81 |
7 × 9 = 63 | 6 × 9 = 54 |
3 × 9 = 27 | 2 × 9 = 18 |
5 × 12 = 60 | 8 × 12 = 96 |
3 × 12 = 36 | 7 × 12 = 84 |
9 × 12 = 108 | 4 × 12 = 48 |
6 × 12 = 72 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{27}{54}\) \(= \frac{1}{2}\)
Evaluate:
\( 1\frac{3}{4} − \frac{6}{7}\) \(= \frac{25}{28}\)
Find BC if AB = 3.5m and AC = 5.2m. 6.27m
Find angle BCA if AC = 3m and BC = 4.3m. 45.8o
Find BC if angle BCA = 44o and AB = 3.8m. 5.47m
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.
\( \frac{1}{6}\) \(= 0.167\)
Convert this decimal to a fraction.
\(0.41\) = \( \frac{41}{100}\)
Increase £80 by 15%
£92
What is the lowest common multiple of twenty and thirty five.
= 140
7,18,29,40,51...
Find the:
a) next term; 62
b) nth term; 11n - 4
c) term number 42; 458
5,20,80,320,1280...
Find the:
a) next term; 5120
b) nth term; 5 × 4n-1
c) term number 12; 20971520
If £200 is invested for 8 years with a simple interest rate of 3%, find the amount of interest earned. £48.00
If £180 is invested with an interest rate of 2% compounded annually, find the value of the investment after 7 years. £206.76
If £1 is worth $1.35, convert:
a) £140 to dollars; $189.00
b) $180 to pounds; £133.33
What are the coordinates of the midpoint of the line joining:
\((1,8) \text{ and } (7,20)\)
(4,14)
What is the gradient of the line joining:
\((4,4) \text{ and } (9,7)\)
\(\frac{3}{5}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((1,1),(6,4),(-2,6)\)
(3,9)
a) 8 − 16 = -8
b) 8 × (-7) = -56
c) (11−22)(8−17) = 99
d) 56 ÷ (-7) = -8
e) (-7)2 = 49
If p = 5, q = 21 and
r = -5 evaluate:
a) 2q − p = 37
b) pq + r = 100
c) p2 − 5q - r = -75
Solve:
\(3x = 27\)
\(x = 9\)
Solve:
\(4x -7= 21\)
\(x = 7\)
Solve:
\(9x +4= 6x + 22\)
\(x = 6\)
Solve:
\(5(2x -3)-11= 44\)
\(x = 7\)
Solve:
\(4(3x + 2)= 2(4x + 2)\)
\(x = -1\)
Solve:
\(4x+2y = 22\)
\(5x-2y = 14\)
\(x = 4, y = 3\)
Solve:
\(3x-2y = 15\)
\(5x+4y = 47\)
\(x = 7, y = 3\)
Solve:
\(3x-2y = -35.5\)
\(5x-7y = -83\)
\(x = -7.5, y = 6.5\)
Find the union of:
{1,2,3,4,5} and
{1,3,5,7,9}
{1,2,3,4,5,7,9}
Find the intersection of:
{2,4,6,8,10} and
{1,3,6,10,15}
{6,10}
A plane flies from point A to point B on a bearing of 127o. What bearing would it return on from B to A? 307o
A number is picked at random from the set
{1,3,5,7,9}
what is the probability it is even? 0
Evaluate:
42 ÷ 6 × 28 ÷ 4
49
Simplify the following by collecting like terms:
\(7d−3e−5d+7e\)
\(4e+2d\)
Divide 182 in the ratio
7:6
98 and 84
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:
120
2 x 2 x 2 x 3 x 5
In a sale an item costs £30 after a 25% reduction. What was the original price?
£40
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.
0.686868... \(\frac{68}{99}\)
Decrease £140 by 45%
£77
Expand:
\(8(6x-6)\)
\(48x-48\)
Expand:
\((3x+4)(2x-1)\)
\(6x^2+5x-4\)
Factorise:
\(27x-63\)
\(9(3x-7)\)
Factorise:
\(x^2-x-12\)
\((x+3)(x-4)\)
Factorise:
\(4x^2+4x-3\)
\((2x+3)(2x-1)\)
Which theorem?
Find the value of:
2.5 × 10-2
= 0.025
Write in standard form:
638
= 6.38 × 102
Write in standard form:
0.0000557
= 5.57 × 10-5
Find the nth term:
\(14, 23, 34, 47, 62, \)
\(n^2+6n+7\)
Multiply 8 × 103
by 6 × 104 and give the answer in standard form.
= 4.8 × 108
Solve:
\(x^2-x-30= 0\)
\(x = 6\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2+x-4 = 0\)
\(x = 1.19\) and \(-1.69\)
What is the size of each interior angle of a regular decagon?
144°
Make \(e\) the subject of the formula
$$f=g(e+h)$$
$$e=\frac{f}{g}-h$$
Calculate the value of:
2980 ÷ 4
= 745
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
What is the square root of
25
5
What is the difference between the 10th and the 11th prime numbers?
31 - 29 = 2
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: 6.66, 6, 0.66, 0.6, 6.6, 6.06, 0.06, in ascending order.
0.06, 0.6, 0.66, 6, 6.06, 6.6, 6.66,
Write down these lengths: 1.08m, 18mm, 17cm, 107cm, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 17cl, 200ml, 18cl, 21cl, 173ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
h = 75
e = 63
Round to one significant figure:
a) 98.29; 100
b) 442849; 400000
c) 21; 20
d) 0.00848; 0.008
Round each value to one significant figure to make an estimate:$$(193 + 3.7) \div 15$$\((200 + 4) \div 20 = 10.2\)
A pie chart shows the colours of 9 books. What sector angle represents the
5 red books?
200°
What is the equation?
\(y=2x+2\)A pie chart shows the colours of 36 hats. How many green hats are represented
by a sector
angle of 50°?
5
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