What is the 11th:
a) Odd number; 21
b) Square number; 121
c) Prime number. 31
Find all the factors of:
50
1, 2, 5, 10, 25, 50.
Subtract the 6th from the 9th 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) 36.42; 36.4
b) 701543; 702000
c) 59; 59.0
d) 0.005995; 0.00600
Find the area of a triangle that has a base of 4cm and a height of 7cm.
14cm2
Find the area of a trapezium that has a base of 13cm, a height of 7cm and a top (parallel to base) of 5cm. 63cm2
Evaluate:
\( \frac{4}{7} + \frac{9}{12}\) \(= 1\frac{9}{28}\)
Evaluate:
\( \frac{2}{3} × \frac{5}{6}\) \(= \frac{5}{9}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{4}{3}\) \(= \frac{3}{8}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{3}{4}\) \(= 75\)%
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 5cm. Give your answer to three significant figures.
31.4cm
Calculate the value of:
8.9 + 4.4
= 13.3
Calculate the value of:
7.2 − 2.5
= 4.7
Calculate the value of:
6.5 × 3.2
= 20.8
Calculate the value of:
125.4 ÷ 19
= 6.6
What is the value of:
53
= 125
What is the value of:
\(2^{-2}\)
\(= \frac{1}{4}\)
Calculate the value of:
85 + 55
= 140
Calculate the value of:
91 − 29
= 62
Calculate the value of:
66 × 86
= 5676
Calculate the value of:
1615 ÷ 19
= 85
Find the value of:
40% of 380
= 152
Find the value of:
8.03 × 105
= 803000
Find the highest common factor of forty five and twenty.
= 5
4 × 2 = 8 | 7 × 4 = 28 |
8 × 4 = 32 | 5 × 4 = 20 |
9 × 2 = 18 | 3 × 4 = 12 |
6 × 4 = 24 | 2 × 2 = 4 |
9 × 7 = 63 | 6 × 9 = 54 |
7 × 4 = 28 | 4 × 4 = 16 |
5 × 4 = 20 | 3 × 9 = 27 |
8 × 5 = 40 | 2 × 2 = 4 |
3 × 2 = 6 | 5 × 2 = 10 |
8 × 2 = 16 | 9 × 2 = 18 |
4 × 2 = 8 | 7 × 2 = 14 |
6 × 2 = 12 | 2 × 2 = 4 |
3 × 3 = 9 | 8 × 3 = 24 |
7 × 3 = 21 | 9 × 3 = 27 |
4 × 3 = 12 | 6 × 3 = 18 |
5 × 3 = 15 | 2 × 3 = 6 |
6 × 4 = 24 | 9 × 4 = 36 |
4 × 4 = 16 | 3 × 4 = 12 |
7 × 4 = 28 | 5 × 4 = 20 |
8 × 4 = 32 | 2 × 4 = 8 |
7 × 5 = 35 | 8 × 5 = 40 |
6 × 5 = 30 | 3 × 5 = 15 |
4 × 5 = 20 | 5 × 5 = 25 |
9 × 5 = 45 | 2 × 5 = 10 |
9 × 6 = 54 | 3 × 6 = 18 |
7 × 6 = 42 | 5 × 6 = 30 |
6 × 6 = 36 | 8 × 6 = 48 |
4 × 6 = 24 | 2 × 6 = 12 |
4 × 7 = 28 | 6 × 7 = 42 |
7 × 7 = 49 | 3 × 7 = 21 |
8 × 7 = 56 | 9 × 7 = 63 |
5 × 7 = 35 | 2 × 7 = 14 |
8 × 8 = 64 | 9 × 8 = 72 |
4 × 8 = 32 | 7 × 8 = 56 |
6 × 8 = 48 | 3 × 8 = 24 |
5 × 8 = 40 | 2 × 8 = 16 |
3 × 9 = 27 | 4 × 9 = 36 |
9 × 9 = 81 | 6 × 9 = 54 |
8 × 9 = 72 | 5 × 9 = 45 |
7 × 9 = 63 | 2 × 9 = 18 |
3 × 12 = 36 | 4 × 12 = 48 |
6 × 12 = 72 | 8 × 12 = 96 |
5 × 12 = 60 | 9 × 12 = 108 |
7 × 12 = 84 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{45}{54}\) \(= \frac{5}{6}\)
Evaluate:
\( 2\frac{4}{5} − \frac{8}{9}\) \(= 1\frac{41}{45}\)
Find BC if AB = 3m and AC = 4.7m. 5.58m
Find angle BCA if AC = 5m and BC = 6.4m. 38.6o
Find BC if angle BCA = 70o and AB = 3.7m. 3.94m
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.
\( \frac{5}{10}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.24\) = \( \frac{6}{25}\)
Increase £100 by 5%
£105
What is the lowest common multiple of twelve and twenty one.
= 84
3,11,19,27,35...
Find the:
a) next term; 43
b) nth term; 8n - 5
c) term number 43; 339
4,8,16,32,64...
Find the:
a) next term; 128
b) nth term; 4 × 2n-1
c) term number 9; 1024
If £160 is invested for 6 years with a simple interest rate of 5%, find the amount of interest earned. £48.00
If £240 is invested with an interest rate of 1% compounded annually, find the value of the investment after 7 years. £257.31
If £1 is worth $1.22, convert:
a) £220 to dollars; $268.40
b) $120 to pounds; £98.36
What are the coordinates of the midpoint of the line joining:
\((-4,-7) \text{ and } (2,1)\)
(-1,-3)
What is the gradient of the line joining:
\((3,6) \text{ and } (7,10)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((3,1),(6,6),(-2,4)\)
(1,9)
a) 6 − 14 = -8
b) 6 × (-10) = -60
c) (8−19)(5−12) = 77
d) 60 ÷ (-10) = -6
e) (-9)2 = 81
If p = 6, q = 19 and
r = -12 evaluate:
a) 2q − p = 32
b) pq + r = 102
c) p2 − 5q - r = -47
Solve:
\(3x = 9\)
\(x = 3\)
Solve:
\(5x -3= 37\)
\(x = 8\)
Solve:
\(5x -4= 2x + 5\)
\(x = 3\)
Solve:
\(2(3x +6)+8= 32\)
\(x = 2\)
Solve:
\(3(2x + 5)= 5(3x + 5)\)
\(x = -1.11 \text{(to 3 sf)}\)
Solve:
\(5x+4y = 48\)
\(4x+4y = 44\)
\(x = 4, y = 7\)
Solve:
\(2x+2y = 14\)
\(6x-4y = -8\)
\(x = 2, y = 5\)
Solve:
\(3x-3y = 37.5\)
\(7x+2y = 51.5\)
\(x = 8.5, y = -4\)
Find the union of:
{5,6,7,8,9,10} and
{3,6,9,12,15}
{3,5,6,7,8,9,10,12,15}
Find the intersection of:
{2,4,6,8,10} and
{5,6,7,8,9,10}
{6,8,10}
A plane flies from point A to point B on a bearing of 218o. What bearing would it return on from B to A? 038o
A number is picked at random from the set
{2,3,5,7,11,13}
what is the probability it is even? \(\frac16\)
Evaluate:
3 + 3 × 2 − 3
6
Simplify the following by collecting like terms:
\(5a−5−4a−5\)
\(a-10\)
Divide 63 in the ratio
2:7
14 and 49
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:
72
2 x 2 x 2 x 3 x 3
In a sale an item costs £55 after a 45% reduction. What was the original price?
£100
Find the mean, mode, median and range of the following:
5,3,7,5,10
Mean = 6, mode = 5,
median = 5 and range = 7
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.515151... \(\frac{17}{33}\)
Decrease £140 by 30%
£98
Expand:
\(9(9x-2)\)
\(81x-18\)
Expand:
\((2x+1)(x-4)\)
\(2x^2-7x-4\)
Factorise:
\(10x-15\)
\(5(2x-3)\)
Factorise:
\(x^2-2x-8\)
\((x+2)(x-4)\)
Factorise:
\(4x^2-1\)
\((2x+1)(2x-1)\)
Which theorem?
Find the value of:
2.85 × 10-4
= 0.000285
Write in standard form:
451
= 4.51 × 102
Write in standard form:
0.0000598
= 5.98 × 10-5
Find the nth term:
\(14, 24, 40, 62, 90, \)
\(3n^2+n+10\)
Multiply 6 × 104
by 5 × 103 and give the answer in standard form.
= 3 × 108
Solve:
\(x^2+2x-15= 0\)
\(x = 3\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2+2x-5 = 0\)
\(x = 1.16\) and \(-2.16\)
What is the size of each interior angle of a regular hexagon?
120°
Make \(d\) the subject of the formula
$$e=\frac{2d-1}{3}$$
$$d=\frac{3e+1}{2}$$
Calculate the value of:
1114 ÷ 2
= 557
What is the 8th:
a) Cube number; 512
b) Triangular number; 36
c) Fibonacci number. 21
What are the next three square numbers after
64
81, 100, 121
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: 5.05, 0.55, 5.55, 5.5, 0.5, 5, 0.05, in ascending order.
0.05, 0.5, 0.55, 5, 5.05, 5.5, 5.55,
Write down these lengths: 18mm, 1.08m, 17cm, 1.8m, 107cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 200ml, 21cl, 18cl, 173ml, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
d = 99
e = 63
Round to one significant figure:
a) 47.88; 50
b) 850227; 900000
c) 52; 50
d) 0.00529; 0.005
Round each value to one significant figure to make an estimate:$$7.7 \times 53 - 173$$\(8 \times 50 - 200 = 200\)
A pie chart shows the colours of 72 books. What sector angle represents the
67 red books?
335°
What is the equation?
\(y=8-2x\)A pie chart shows the colours of 90 hats. How many green hats are represented
by a sector
angle of 56°?
14
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