What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37
Find all the factors of:
27
1, 3, 9, 27.
Subtract the 5th from the 9th multiples of:
7
28
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) 73.85; 73.8
b) 261588; 262000
c) 95; 95.0
d) 0.009595; 0.00960
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 8cm and a top (parallel to base) of 7cm. 80cm2
Evaluate:
\( \frac{3}{4} + \frac{6}{7}\) \(= 1\frac{17}{28}\)
Evaluate:
\( \frac{1}{2} × \frac{3}{5}\) \(= \frac{3}{10}\)
Evaluate:
\( \frac{2}{4} ÷ \frac{7}{5}\) \(= \frac{5}{14}\)
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.
\( \frac{4}{6}\) \(= 66.7\)%
Find the area of a circle that has a radius of 3cm. Give your answer to three significant figures.
28.3cm2
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:
7.5 + 4.4
= 11.9
Calculate the value of:
8.1 − 4.9
= 3.2
Calculate the value of:
5.9 × 4.6
= 27.14
Calculate the value of:
50.4 ÷ 14
= 3.6
What is the value of:
33
= 27
What is the value of:
\(3^{0}\)
\(= 1\)
Calculate the value of:
45 + 76
= 121
Calculate the value of:
71 − 29
= 42
Calculate the value of:
45 × 89
= 4005
Calculate the value of:
1050 ÷ 14
= 75
Find the value of:
95% of 320
= 304
Find the value of:
6.93 × 102
= 693
Find the highest common factor of fourteen and ten.
= 2
7 × 2 = 14 | 5 × 5 = 25 |
3 × 2 = 6 | 6 × 3 = 18 |
8 × 5 = 40 | 9 × 3 = 27 |
4 × 2 = 8 | 2 × 2 = 4 |
4 × 2 = 8 | 7 × 6 = 42 |
9 × 6 = 54 | 6 × 11 = 66 |
3 × 2 = 6 | 8 × 5 = 40 |
5 × 8 = 40 | 2 × 2 = 4 |
6 × 2 = 12 | 8 × 2 = 16 |
3 × 2 = 6 | 4 × 2 = 8 |
7 × 2 = 14 | 9 × 2 = 18 |
5 × 2 = 10 | 2 × 2 = 4 |
7 × 3 = 21 | 9 × 3 = 27 |
6 × 3 = 18 | 8 × 3 = 24 |
5 × 3 = 15 | 3 × 3 = 9 |
4 × 3 = 12 | 2 × 3 = 6 |
8 × 4 = 32 | 3 × 4 = 12 |
7 × 4 = 28 | 9 × 4 = 36 |
5 × 4 = 20 | 6 × 4 = 24 |
4 × 4 = 16 | 2 × 4 = 8 |
6 × 5 = 30 | 9 × 5 = 45 |
3 × 5 = 15 | 4 × 5 = 20 |
5 × 5 = 25 | 8 × 5 = 40 |
7 × 5 = 35 | 2 × 5 = 10 |
4 × 6 = 24 | 9 × 6 = 54 |
6 × 6 = 36 | 5 × 6 = 30 |
8 × 6 = 48 | 7 × 6 = 42 |
3 × 6 = 18 | 2 × 6 = 12 |
9 × 7 = 63 | 8 × 7 = 56 |
6 × 7 = 42 | 3 × 7 = 21 |
4 × 7 = 28 | 5 × 7 = 35 |
7 × 7 = 49 | 2 × 7 = 14 |
7 × 8 = 56 | 5 × 8 = 40 |
9 × 8 = 72 | 8 × 8 = 64 |
4 × 8 = 32 | 6 × 8 = 48 |
3 × 8 = 24 | 2 × 8 = 16 |
3 × 9 = 27 | 7 × 9 = 63 |
4 × 9 = 36 | 8 × 9 = 72 |
5 × 9 = 45 | 9 × 9 = 81 |
6 × 9 = 54 | 2 × 9 = 18 |
9 × 12 = 108 | 7 × 12 = 84 |
3 × 12 = 36 | 6 × 12 = 72 |
4 × 12 = 48 | 8 × 12 = 96 |
5 × 12 = 60 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{18}{30}\) \(= \frac{3}{5}\)
Evaluate:
\( 3\frac{2}{3} − \frac{6}{7}\) \(= 2\frac{17}{21}\)
Find AB if AC = 3.7m and BC = 5.6m. 4.20m
Find angle BCA if AB = 6m and AC = 7.1m. 40.2o
Find AC if angle BCA = 63o and AB = 3.3m. 1.68m
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.
\( \frac{5}{8}\) \(= 0.625\)
Convert this decimal to a fraction.
\(0.27\) = \( \frac{27}{100}\)
Increase £140 by 40%
£196
What is the lowest common multiple of eight and thirty two.
= 32
6,18,30,42,54...
Find the:
a) next term; 66
b) nth term; 12n - 6
c) term number 47; 558
6,24,96,384,1536...
Find the:
a) next term; 6144
b) nth term; 6 × 4n-1
c) term number 8; 98304
If £140 is invested for 9 years with a simple interest rate of 4%, find the amount of interest earned. £50.40
If £200 is invested with an interest rate of 5% compounded annually, find the value of the investment after 5 years. £255.26
If £1 is worth $1.37, convert:
a) £120 to dollars; $164.40
b) $180 to pounds; £131.39
What are the coordinates of the midpoint of the line joining:
\((5,-5) \text{ and } (13,7)\)
(9,1)
What is the gradient of the line joining:
\((-4,-7) \text{ and } (1,-3)\)
\(\frac{4}{5}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,4),(9,8),(0,9)\)
(5,13)
a) 7 − 16 = -9
b) 7 × (-12) = -84
c) (9−19)(10−20) = 100
d) 84 ÷ (-12) = -7
e) (-10)2 = 100
If p = 5, q = 22 and
r = -10 evaluate:
a) 2q − p = 39
b) pq + r = 100
c) p2 − 5q - r = -75
Solve:
\(4x = 36\)
\(x = 9\)
Solve:
\(5x -3= 37\)
\(x = 8\)
Solve:
\(7x -4= 5x + 12\)
\(x = 8\)
Solve:
\(2(3x -3)-9= 15\)
\(x = 5\)
Solve:
\(4(2x + 3)= 3(3x + 4)\)
\(x = 0\)
Solve:
\(5x+4y = 40\)
\(2x+4y = 28\)
\(x = 4, y = 5\)
Solve:
\(3x+2y = 10\)
\(7x-4y = 6\)
\(x = 2, y = 2\)
Solve:
\(2x+7y = -28\)
\(5x-3y = -29\)
\(x = -7, y = -2\)
Find the union of:
{5,6,7,8,9,10} and
{2,3,5,7,11,13}
{2,3,5,6,7,8,9,10,11,13}
Find the intersection of:
{1,2,3,4,5} and
{1,3,5,7,9}
{1,3,5}
A plane flies from point A to point B on a bearing of 031o. What bearing would it return on from B to A? 211o
A number is picked at random from the set
{1,3,6,10,15}
what is the probability it is even? \(\frac25\)
Evaluate:
(15 − 3)2 + 5 × 7
179
Simplify the following by collecting like terms:
\(5a−5−4a−5\)
\(a-10\)
Divide 110 in the ratio
3:8
30 and 80
Draw a rough sketch of the graph of:
\(2y=x+4\)
Gradient 0.5
y intercept 2
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 £51 after a 15% reduction. What was the original price?
£60
Find the mean, mode, median and range of the following:
1,3,1,10,5
Mean = 4, mode = 1,
median = 3 and range = 9
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.979797... \(\frac{97}{99}\)
Decrease £40 by 15%
£34
Expand:
\(7(3x-2)\)
\(21x-14\)
Expand:
\((4x+4)(4x-1)\)
\(16x^2+12x-4\)
Factorise:
\(8x-14\)
\(2(4x-7)\)
Factorise:
\(x^2+x-2\)
\((x+2)(x-1)\)
Factorise:
\(2x^2-5x-3\)
\((2x+1)(x-3)\)
Which theorem?
Find the value of:
2.31 × 10-3
= 0.00231
Write in standard form:
60400
= 6.04 × 104
Write in standard form:
0.0614
= 6.14 × 10-2
Find the nth term:
\(11, 18, 27, 38, 51, \)
\(n^2+4n+6\)
Multiply 6 × 102
by 8 × 104 and give the answer in standard form.
= 4.8 × 107
Solve:
\(x^2+2x-15= 0\)
\(x = 3\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2-2x-2 = 0\)
\(x = 0.863\) and \(-0.463\)
What is the size of each exterior angle of a regular hexagon?
60°
Make \(k\) the subject of the formula
$$c=\frac{a(2+k)}{b}$$
$$k=\frac{bc}{a}-2$$
Calculate the value of:
1764 ÷ 3
= 588
What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5
What is the difference between the 8th and the 9th square numbers?
17
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: 4, 0.44, 4.44, 0.4, 4.4, 4.04, 0.04, in ascending order.
0.04, 0.4, 0.44, 4, 4.04, 4.4, 4.44,
Write down these lengths: 1.08m, 107cm, 1.8m, 17cm, 18mm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 173ml, 17cl, 200ml, 21cl, 18cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
c = 81
i = 97
Round to one significant figure:
a) 80.82; 80
b) 537066; 500000
c) 73; 70
d) 0.00899; 0.009
Round each value to one significant figure to make an estimate:$$72 + 4.8 \times 73$$\(70 + 5 \times 70 = 420\)
A pie chart shows the colours of 60 books. What sector angle represents the
29 red books?
174°
What is the equation?
\(x=5\)A pie chart shows the colours of 120 hats. How many green hats are represented
by a sector
angle of 273°?
91
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