What is the 9th:
a) Odd number; 17
b) Square number; 81
c) Prime number. 23
Find all the factors of:
21
1, 3, 7, 21.
Subtract the 7th from the 10th multiples of:
4
12
What are the names of regular polygons with:
a) five sides;
b) six sides;
c) seven sides.
Pentagon, Hexagon and Heptagon (all regular)
Round to three significant figures:
a) 14.71; 14.7
b) 741582; 742000
c) 58; 58.0
d) 0.005895; 0.00590
Find the area of a triangle that has a base of 3cm and a height of 6cm.
9cm2
Find the area of a trapezium that has a base of 12cm, a height of 12cm and a top (parallel to base) of 6cm. 108cm2
Evaluate:
\( \frac{2}{3} + \frac{4}{7}\) \(= 1\frac{5}{21}\)
Evaluate:
\( \frac{2}{4} × \frac{6}{8}\) \(= \frac{3}{8}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{7}{5}\) \(= \frac{10}{21}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{4}{5}\) \(= 80\)%
Find the area of a circle that has a radius of 9cm. Give your answer to three significant figures.
254cm2
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:
4.5 + 8.9
= 13.4
Calculate the value of:
5.1 − 2.9
= 2.2
Calculate the value of:
7.6 × 9.4
= 71.44
Calculate the value of:
64.6 ÷ 19
= 3.4
What is the value of:
42
= 16
What is the value of:
\(9^{\frac{1}{2}}\)
\(= 3\)
Calculate the value of:
56 + 38
= 94
Calculate the value of:
83 − 29
= 54
Calculate the value of:
82 × 95
= 7790
Calculate the value of:
1273 ÷ 19
= 67
Find the value of:
35% of 160
= 56
Find the value of:
3.16 × 104
= 31600
Find the highest common factor of twelve and ten.
= 2
4 × 3 = 12 | 5 × 3 = 15 |
7 × 4 = 28 | 8 × 2 = 16 |
9 × 4 = 36 | 3 × 5 = 15 |
6 × 2 = 12 | 2 × 3 = 6 |
4 × 6 = 24 | 5 × 9 = 45 |
6 × 6 = 36 | 8 × 5 = 40 |
7 × 11 = 77 | 3 × 5 = 15 |
9 × 7 = 63 | 2 × 2 = 4 |
4 × 2 = 8 | 7 × 2 = 14 |
6 × 2 = 12 | 9 × 2 = 18 |
3 × 2 = 6 | 5 × 2 = 10 |
8 × 2 = 16 | 2 × 2 = 4 |
3 × 3 = 9 | 6 × 3 = 18 |
8 × 3 = 24 | 4 × 3 = 12 |
5 × 3 = 15 | 7 × 3 = 21 |
9 × 3 = 27 | 2 × 3 = 6 |
9 × 4 = 36 | 8 × 4 = 32 |
5 × 4 = 20 | 7 × 4 = 28 |
3 × 4 = 12 | 6 × 4 = 24 |
4 × 4 = 16 | 2 × 4 = 8 |
4 × 5 = 20 | 8 × 5 = 40 |
6 × 5 = 30 | 7 × 5 = 35 |
3 × 5 = 15 | 9 × 5 = 45 |
5 × 5 = 25 | 2 × 5 = 10 |
4 × 6 = 24 | 3 × 6 = 18 |
5 × 6 = 30 | 8 × 6 = 48 |
6 × 6 = 36 | 9 × 6 = 54 |
7 × 6 = 42 | 2 × 6 = 12 |
8 × 7 = 56 | 6 × 7 = 42 |
5 × 7 = 35 | 3 × 7 = 21 |
4 × 7 = 28 | 7 × 7 = 49 |
9 × 7 = 63 | 2 × 7 = 14 |
5 × 8 = 40 | 8 × 8 = 64 |
6 × 8 = 48 | 3 × 8 = 24 |
4 × 8 = 32 | 9 × 8 = 72 |
7 × 8 = 56 | 2 × 8 = 16 |
4 × 9 = 36 | 5 × 9 = 45 |
6 × 9 = 54 | 9 × 9 = 81 |
8 × 9 = 72 | 7 × 9 = 63 |
3 × 9 = 27 | 2 × 9 = 18 |
6 × 12 = 72 | 7 × 12 = 84 |
4 × 12 = 48 | 3 × 12 = 36 |
9 × 12 = 108 | 8 × 12 = 96 |
5 × 12 = 60 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{4}{8}\) \(= \frac{1}{2}\)
Evaluate:
\( 1\frac{1}{2} − \frac{5}{6}\) \(= \frac{2}{3}\)
Find BC if AB = 5.2m and AC = 6.3m. 8.17m
Find angle BCA if AB = 3.2m and AC = 5m. 32.6o
Find BC if angle BCA = 30o and AB = 3.1m. 6.20m
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.
\(0.2\) = \( \frac{1}{5}\)
Increase £80 by 40%
£112
What is the lowest common multiple of twelve and fifteen.
= 60
3,11,19,27,35...
Find the:
a) next term; 43
b) nth term; 8n - 5
c) term number 46; 363
5,15,45,135,405...
Find the:
a) next term; 1215
b) nth term; 5 × 3n-1
c) term number 12; 885735
If £240 is invested for 5 years with a simple interest rate of 6%, find the amount of interest earned. £72.00
If £240 is invested with an interest rate of 6% compounded annually, find the value of the investment after 8 years. £382.52
If £1 is worth $1.31, convert:
a) £180 to dollars; $235.80
b) $160 to pounds; £122.14
What are the coordinates of the midpoint of the line joining:
\((5,-1) \text{ and } (13,7)\)
(9,3)
What is the gradient of the line joining:
\((7,5) \text{ and } (12,8)\)
\(\frac{3}{5}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((2,4),(6,9),(-3,8)\)
(1,13)
a) 8 − 14 = -6
b) 8 × (-7) = -56
c) (7−14)(6−11) = 35
d) 56 ÷ (-7) = -8
e) (-9)2 = 81
If p = 6, q = 19 and
r = -8 evaluate:
a) 2q − p = 32
b) pq + r = 106
c) p2 − 5q - r = -51
Solve:
\(3x = 9\)
\(x = 3\)
Solve:
\(5x -5= 25\)
\(x = 6\)
Solve:
\(7x +5= 3x + 17\)
\(x = 3\)
Solve:
\(5(3x -2)+7= 132\)
\(x = 9\)
Solve:
\(3(2x + 3)= 2(2x + 3)\)
\(x = -1.5\)
Solve:
\(5x+5y = 40\)
\(3x+5y = 30\)
\(x = 5, y = 3\)
Solve:
\(2x-2y = 2\)
\(7x-8y = 5\)
\(x = 3, y = 2\)
Solve:
\(2x-2y = -10\)
\(3x-5y = -11\)
\(x = -7, y = -2\)
Find the union of:
{5,6,7,8,9,10} and
{3,4,5,6,7,8}
{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 198o. What bearing would it return on from B to A? 018o
A number is picked at random from the set
{2,6,12}
what is the probability it is even? 1
Evaluate:
9 + (6 × 22 − 7)
26
Simplify the following by collecting like terms:
\(3b+5c+8b+4c\)
\(11b+9c\)
Divide 209 in the ratio
10:9
110 and 99
Draw a rough sketch of the graph of:
\(y=-x+2\)
Gradient -1
y intercept 2
Express the following number as the product of prime numbers:
6
2 x 3
In a sale an item costs £54 after a 10% 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.
0.575757... \(\frac{19}{33}\)
Decrease £180 by 35%
£117
Expand:
\(4(5x-6)\)
\(20x-24\)
Expand:
\((3x+4)(x-1)\)
\(3x^2+x-4\)
Factorise:
\(14x-8\)
\(2(7x-4)\)
Factorise:
\(x^2-4\)
\((x+2)(x-2)\)
Factorise:
\(4x^2+13x-12\)
\((x+4)(4x-3)\)
Which theorem?
Find the value of:
5.74 × 10-4
= 0.000574
Write in standard form:
609000
= 6.09 × 105
Write in standard form:
0.00466
= 4.66 × 10-3
Find the nth term:
\(15, 28, 47, 72, 103, \)
\(3n^2+4n+8\)
Multiply 5 × 103
by 7 × 105 and give the answer in standard form.
= 3.5 × 109
Solve:
\(x^2-x-6= 0\)
\(x = 3\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2-2x-3 = 0\)
\(x = 1.82\) and \(-0.823\)
What is the size of each interior angle of a regular octagon?
135°
Make \(e\) the subject of the formula
$$f=g(e+h)$$
$$e=\frac{f}{g}-h$$
Calculate the value of:
4210 ÷ 5
= 842
What is the 10th:
a) Cube number; 1000
b) Triangular number; 55
c) Fibonacci number. 55
What are the next three square numbers after
64
81, 100, 121
What is the 10th prime number?
29
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: 0.1, 1, 1.01, 0.11, 1.1, 1.11, 0.01, in ascending order.
0.01, 0.1, 0.11, 1, 1.01, 1.1, 1.11,
Write down these lengths: 17cm, 107cm, 18mm, 1.8m, 1.08m, 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,
c = 81
d = 91
Round to one significant figure:
a) 30.08; 30
b) 882322; 900000
c) 90; 90
d) 0.00883; 0.009
Round each value to one significant figure to make an estimate:$$(162 + 7.6) \div 16$$\((200 + 8) \div 20 = 10.4\)
A pie chart shows the colours of 18 books. What sector angle represents the
11 red books?
220°
What is the equation?
\(y=5-x\)A pie chart shows the colours of 72 hats. How many green hats are represented
by a sector
angle of 30°?
6
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