What is the 11th:
a) Odd number; 21
b) Square number; 121
c) Prime number. 31
Find all the factors of:
24
1, 2, 3, 4, 6, 8, 12, 24.
Subtract the 7th from the 10th multiples of:
6
18
What are the names of regular polygons with:
a) seven sides;
b) eight sides;
c) nine sides.
Heptagon, Octagon and Nonagon (all regular)
Round to three significant figures:
a) 38.17; 38.2
b) 521042; 521000
c) 30; 30.0
d) 0.003095; 0.00310
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 10cm, a height of 6cm and a top (parallel to base) of 4cm. 42cm2
Evaluate:
\( \frac{4}{7} + \frac{10}{11}\) \(= 1\frac{37}{77}\)
Evaluate:
\( \frac{3}{4} × \frac{5}{6}\) \(= \frac{5}{8}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{6}{5}\) \(= \frac{5}{9}\)
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.
\( \frac{1}{6}\) \(= 16.7\)%
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 3cm. Give your answer to three significant figures.
18.8cm
Calculate the value of:
9.8 + 9.8
= 19.6
Calculate the value of:
5.1 − 1.7
= 3.4
Calculate the value of:
4.4 × 5.8
= 25.52
Calculate the value of:
165.6 ÷ 18
= 9.2
What is the value of:
23
= 8
What is the value of:
\(5^{0}\)
\(= 1\)
Calculate the value of:
79 + 26
= 105
Calculate the value of:
63 − 26
= 37
Calculate the value of:
78 × 35
= 2730
Calculate the value of:
1742 ÷ 26
= 67
Find the value of:
75% of 220
= 165
Find the value of:
5.81 × 104
= 58100
Find the highest common factor of twenty seven and six.
= 3
4 × 3 = 12 | 5 × 4 = 20 |
8 × 5 = 40 | 9 × 4 = 36 |
6 × 5 = 30 | 7 × 2 = 14 |
3 × 3 = 9 | 2 × 3 = 6 |
8 × 3 = 24 | 3 × 9 = 27 |
7 × 10 = 70 | 4 × 12 = 48 |
6 × 2 = 12 | 9 × 11 = 99 |
5 × 5 = 25 | 2 × 3 = 6 |
8 × 2 = 16 | 9 × 2 = 18 |
5 × 2 = 10 | 3 × 2 = 6 |
7 × 2 = 14 | 6 × 2 = 12 |
4 × 2 = 8 | 2 × 2 = 4 |
4 × 3 = 12 | 3 × 3 = 9 |
7 × 3 = 21 | 5 × 3 = 15 |
6 × 3 = 18 | 8 × 3 = 24 |
9 × 3 = 27 | 2 × 3 = 6 |
6 × 4 = 24 | 9 × 4 = 36 |
3 × 4 = 12 | 8 × 4 = 32 |
5 × 4 = 20 | 4 × 4 = 16 |
7 × 4 = 28 | 2 × 4 = 8 |
7 × 5 = 35 | 6 × 5 = 30 |
4 × 5 = 20 | 8 × 5 = 40 |
9 × 5 = 45 | 5 × 5 = 25 |
3 × 5 = 15 | 2 × 5 = 10 |
5 × 6 = 30 | 6 × 6 = 36 |
3 × 6 = 18 | 8 × 6 = 48 |
9 × 6 = 54 | 4 × 6 = 24 |
7 × 6 = 42 | 2 × 6 = 12 |
5 × 7 = 35 | 3 × 7 = 21 |
4 × 7 = 28 | 7 × 7 = 49 |
8 × 7 = 56 | 9 × 7 = 63 |
6 × 7 = 42 | 2 × 7 = 14 |
9 × 8 = 72 | 4 × 8 = 32 |
7 × 8 = 56 | 6 × 8 = 48 |
5 × 8 = 40 | 3 × 8 = 24 |
8 × 8 = 64 | 2 × 8 = 16 |
7 × 9 = 63 | 6 × 9 = 54 |
5 × 9 = 45 | 4 × 9 = 36 |
8 × 9 = 72 | 3 × 9 = 27 |
9 × 9 = 81 | 2 × 9 = 18 |
4 × 12 = 48 | 7 × 12 = 84 |
3 × 12 = 36 | 6 × 12 = 72 |
5 × 12 = 60 | 9 × 12 = 108 |
8 × 12 = 96 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{40}{64}\) \(= \frac{5}{8}\)
Evaluate:
\( 3\frac{2}{3} − \frac{4}{5}\) \(= 2\frac{13}{15}\)
Find BC if AB = 4.1m and AC = 5.5m. 6.86m
Find angle ABC if AC = 5.3m and AB = 7.2m. 36.4o
Find BC if angle BCA = 70o and AB = 3.5m. 3.72m
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.
\( \frac{4}{5}\) \(= 0.8\)
Convert this decimal to a fraction.
\(0.82\) = \( \frac{41}{50}\)
Increase £180 by 30%
£234
What is the lowest common multiple of six and ten.
= 30
4,11,18,25,32...
Find the:
a) next term; 39
b) nth term; 7n - 3
c) term number 55; 382
4,8,16,32,64...
Find the:
a) next term; 128
b) nth term; 4 × 2n-1
c) term number 8; 512
If £200 is invested for 9 years with a simple interest rate of 4%, find the amount of interest earned. £72.00
If £100 is invested with an interest rate of 2% compounded annually, find the value of the investment after 7 years. £114.87
If £1 is worth $1.31, convert:
a) £200 to dollars; $262.00
b) $120 to pounds; £91.60
What are the coordinates of the midpoint of the line joining:
\((4,6) \text{ and } (14,12)\)
(9,9)
What is the gradient of the line joining:
\((6,-7) \text{ and } (12,-1)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((1,2),(7,7),(-4,8)\)
(2,13)
a) 12 − 17 = -5
b) 12 × (-7) = -84
c) (6−17)(12−18) = 66
d) 84 ÷ (-7) = -12
e) (-5)2 = 25
If p = 5, q = 22 and
r = -6 evaluate:
a) 2q − p = 39
b) pq + r = 104
c) p2 − 5q - r = -79
Solve:
\(2x = 14\)
\(x = 7\)
Solve:
\(4x +1= 21\)
\(x = 5\)
Solve:
\(7x +4= 6x + 11\)
\(x = 7\)
Solve:
\(5(4x -6)+6= 96\)
\(x = 6\)
Solve:
\(4(2x + 2)= 2(3x + 3)\)
\(x = -1\)
Solve:
\(4x+4y = 36\)
\(2x-4y = 6\)
\(x = 7, y = 2\)
Solve:
\(2x-2y = 6\)
\(6x-8y = 14\)
\(x = 5, y = 2\)
Solve:
\(3x+3y = -1.5\)
\(7x-2y = -84.5\)
\(x = -9.5, y = 9\)
Find the union of:
{2,4,6,8,10} and
{1,3,6,10,15}
{1,2,3,4,6,8,10,15}
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 188o. What bearing would it return on from B to A? 008o
A number is picked at random from the set
{1,2,3,4,5}
what is the probability it is even? \(\frac25\)
Evaluate:
62 − 5 × 4 + 9
25
Simplify the following by collecting like terms:
\(3a+5b-3a+4b^2\)
\(5b+4b^2\)
Divide 63 in the ratio
1:8
7 and 56
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:
60
2 x 2 x 3 x 5
In a sale an item costs £152 after a 5% reduction. What was the original price?
£160
Find the mean, mode, median and range of the following:
6,7,8,9,10
Mean = 8, no mode,
median = 8 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.969696... \(\frac{32}{33}\)
Decrease £40 by 10%
£36
Expand:
\(6(6x-7)\)
\(36x-42\)
Expand:
\((x+2)(4x-2)\)
\(4x^2+6x-4\)
Factorise:
\(3x-9\)
\(3(x-3)\)
Factorise:
\(x^2-1\)
\((x+1)(x-1)\)
Factorise:
\(5x^2+9x-2\)
\((x+2)(5x-1)\)
Which theorem?
Find the value of:
6.11 × 10-2
= 0.0611
Write in standard form:
3850
= 3.85 × 103
Write in standard form:
0.000561
= 5.61 × 10-4
Find the nth term:
\(0, 6, 14, 24, 36, \)
\(n^2+3n-4\)
Multiply 6 × 103
by 6 × 104 and give the answer in standard form.
= 3.6 × 108
Solve:
\(x^2+x-20= 0\)
\(x = 4\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+5x-4 = 0\)
\(x = 0.591\) and \(-2.26\)
What is the size of each exterior angle of a regular heptagon?
51.4°
Make \(j\) the subject of the formula
$$b=\frac{3(j-4)}{c}$$
$$j=\frac{bc}{3}+4$$
Calculate the value of:
2904 ÷ 3
= 968
What is the 8th:
a) Cube number; 512
b) Triangular number; 36
c) Fibonacci number. 21
What is the square of
2
4
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.
Calculate \(x\).
Write down these numbers: 1.11, 1, 1.1, 0.1, 1.01, 0.11, 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, 1.08m, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 200ml, 173ml, 18cl, 17cl, 21cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
h = 75
h = 75
Round to one significant figure:
a) 94.55; 90
b) 324544; 300000
c) 82; 80
d) 0.00585; 0.006
Round each value to one significant figure to make an estimate:$$24 + 4.9 \times 42$$\(20 + 5 \times 40 = 220\)
A pie chart shows the colours of 20 books. What sector angle represents the
18 red books?
324°
What is the equation?
\(y=2x-2\)A pie chart shows the colours of 12 hats. How many green hats are represented
by a sector
angle of 60°?
2
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