What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11
Find all the factors of:
50
1, 2, 5, 10, 25, 50.
Subtract the 5th from the 9th multiples of:
11
44
What are the names of regular polygons with:
a) six sides;
b) seven sides;
c) eight sides.
Hexagon, Heptagon and Octagon (all regular)
Round the following numbers to three significant figures:
a) 58.58; 58.6
b) 774012; 774000
c) 0.005895; 0.00590
Find the area of a triangle that has a base of 6cm and a height of 9cm.
27cm2
Find the area of a trapezium that has a base of 14cm, a height of 5cm and a top (parallel to base) of 6cm. 50cm2
Evaluate:
\( \frac{3}{6} + \frac{8}{9}\) \(= 1\frac{7}{18}\)
Evaluate:
\( \frac{3}{4} × \frac{6}{7}\) \(= \frac{9}{14}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{5}{3}\) \(= \frac{3}{10}\)
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 10cm. Give your answer to three significant figures.
314cm2
Find the circumference of a circle that has a radius of 9cm. Give your answer to three significant figures.
56.5cm
Calculate the value of:
4.7 + 5.4
= 10.1
Calculate the value of:
8.2 − 3.9
= 4.3
Calculate the value of:
3.3 × 2.6
= 8.58
Calculate the value of:
57.8 ÷ 17
= 3.4
What is the value of:
23
= 8
What is the value of:
\(2^{0}\)
\(= 1\)
Calculate the value of:
75 + 69
= 144
Calculate the value of:
92 − 28
= 64
Calculate the value of:
44 × 84
= 3696
Calculate the value of:
1615 ÷ 17
= 95
Find the value of:
95% of 300
= 285
Find the value of:
5.53 × 106
= 5530000
Find the highest common factor of forty five and twenty.
= 5
7 × 4 = 28 | 6 × 5 = 30 |
3 × 3 = 9 | 4 × 3 = 12 |
5 × 2 = 10 | 9 × 4 = 36 |
8 × 4 = 32 | 2 × 2 = 4 |
7 × 3 = 21 | 6 × 7 = 42 |
8 × 3 = 24 | 4 × 5 = 20 |
9 × 12 = 108 | 5 × 9 = 45 |
3 × 4 = 12 | 2 × 10 = 20 |
7 × 2 = 14 | 5 × 2 = 10 |
3 × 2 = 6 | 6 × 2 = 12 |
9 × 2 = 18 | 4 × 2 = 8 |
8 × 2 = 16 | 2 × 2 = 4 |
6 × 3 = 18 | 4 × 3 = 12 |
8 × 3 = 24 | 3 × 3 = 9 |
7 × 3 = 21 | 9 × 3 = 27 |
5 × 3 = 15 | 2 × 3 = 6 |
9 × 4 = 36 | 7 × 4 = 28 |
8 × 4 = 32 | 6 × 4 = 24 |
5 × 4 = 20 | 3 × 4 = 12 |
4 × 4 = 16 | 2 × 4 = 8 |
6 × 5 = 30 | 7 × 5 = 35 |
5 × 5 = 25 | 4 × 5 = 20 |
8 × 5 = 40 | 9 × 5 = 45 |
3 × 5 = 15 | 2 × 5 = 10 |
7 × 6 = 42 | 4 × 6 = 24 |
6 × 6 = 36 | 9 × 6 = 54 |
5 × 6 = 30 | 8 × 6 = 48 |
3 × 6 = 18 | 2 × 6 = 12 |
5 × 7 = 35 | 8 × 7 = 56 |
9 × 7 = 63 | 4 × 7 = 28 |
3 × 7 = 21 | 7 × 7 = 49 |
6 × 7 = 42 | 2 × 7 = 14 |
6 × 8 = 48 | 8 × 8 = 64 |
5 × 8 = 40 | 7 × 8 = 56 |
4 × 8 = 32 | 3 × 8 = 24 |
9 × 8 = 72 | 2 × 8 = 16 |
3 × 9 = 27 | 8 × 9 = 72 |
5 × 9 = 45 | 9 × 9 = 81 |
7 × 9 = 63 | 4 × 9 = 36 |
6 × 9 = 54 | 2 × 9 = 18 |
6 × 12 = 72 | 3 × 12 = 36 |
4 × 12 = 48 | 8 × 12 = 96 |
7 × 12 = 84 | 9 × 12 = 108 |
5 × 12 = 60 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{21}{28}\) \(= \frac{3}{4}\)
Evaluate:
\( 1\frac{2}{3} − \frac{6}{7}\) \(= \frac{17}{21}\)
Find AC if AB = 5.6m and BC = 6.7m. 3.68m
Find angle ABC if AC = 5.5m and AB = 7.3m. 37.0o
Find AC if angle ABC = 25o and AB = 3.1m. 1.45m
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.
\( \frac{5}{6}\) \(= 0.833\)
Convert this decimal to a fraction.
\(0.44\) = \( \frac{11}{25}\)
Increase £160 by 40%
£224
What is the lowest common multiple of twelve and fifteen.
= 60
2,11,20,29,38...
Find the:
a) next term; 47
b) nth term; 9n - 7
c) term number 29; 254
4,12,36,108,324...
Find the:
a) next term; 972
b) nth term; 4 × 3n-1
c) term number 9; 26244
If £160 is invested for 5 years with a simple interest rate of 4%, find the amount of interest earned. £32.00
If £200 is invested with an interest rate of 3% compounded annually, find the value of the investment after 4 years. £225.10
If £1 is worth $1.32, convert:
a) £240 to dollars; $316.80
b) $180 to pounds; £136.36
What are the coordinates of the midpoint of the line joining:
\((4,1) \text{ and } (12,13)\)
(8,7)
What is the gradient of the line joining:
\((2,-4) \text{ and } (8,-1)\)
\(\frac{1}{2}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,3),(9,7),(0,8)\)
(5,12)
a) 11 − 17 = -6
b) 11 × (-11) = -121
c) (8−17)(8−15) = 63
d) 121 ÷ (-11) = -11
e) (-7)2 = 49
If p = 6, q = 22 and
r = -7 evaluate:
a) 2q − p = 38
b) pq + r = 125
c) p2 − 5q - r = -67
Solve:
\(4x = 28\)
\(x = 7\)
Solve:
\(5x +5= 45\)
\(x = 8\)
Solve:
\(6x +3= 2x + 19\)
\(x = 4\)
Solve:
\(5(4x -2)+8= 38\)
\(x = 2\)
Solve:
\(4(3x + 4)= 3(2x + 3)\)
\(x = -1.17 \text{(to 3 sf)}\)
Solve:
\(3x+2y = 26\)
\(2x-2y = -6\)
\(x = 4, y = 7\)
Solve:
\(2x-5y = 0\)
\(6x+20y = 70\)
\(x = 5, y = 2\)
Solve:
\(3x-7y = 22.5\)
\(5x-2y = -20.5\)
\(x = -6.5, y = -6\)
Find the union of:
{1,3,5,7,9} and
{1,3,6,10,15}
{1,3,5,6,7,9,10,15}
Find the intersection of:
{1,2,3,4,5} and
{6,7,8,9,10}
∅
A plane flies from point A to point B on a bearing of 212o. What bearing would it return on from B to A? 032o
A number is picked at random from the set
{1,2,3,4,5}
what is the probability it is even? \(\frac25\)
Evaluate:
8 + (9 × 72 − 3)
446
Simplify the following by collecting like terms:
\(7d−3e−5d+7e\)
\(4e+2d\)
Divide 96 in the ratio
1:7
12 and 84
Draw a rough sketch of the graph of:
\(2y=x\)
Gradient 0.5
y intercept 0
Express the following number as the product of prime numbers:
540
2 x 2 x 3 x 3 x 3 x 5
In a sale an item costs £96 after a 40% reduction. What was the original price?
£160
Find the mean, mode, median and range of the following:
2,6,12,6,14
Mean = 8, mode = 6,
median = 6 and range = 12
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.212121... \(\frac{7}{33}\)
Decrease £120 by 45%
£66
Expand:
\(5(7x-4)\)
\(35x-20\)
Expand:
\((3x+2)(x-1)\)
\(3x^2-x-2\)
Factorise:
\(6x-18\)
\(6(x-3)\)
Factorise:
\(x^2-9\)
\((x+3)(x-3)\)
Factorise:
\(5x^2+11x-12\)
\((x+3)(5x-4)\)
Which theorem?
Find the value of:
6.23 × 10-5
= 0.0000623
Write in standard form:
68900
= 6.89 × 104
Write in standard form:
0.0000604
= 6.04 × 10-5
Find the nth term:
\(1, 10, 21, 34, 49, \)
\(n^2+6n-6\)
Multiply 4 × 104
by 8 × 103 and give the answer in standard form.
= 3.2 × 108
Solve:
\(x^2-x-20= 0\)
\(x = 5\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2-5x-3 = 0\)
\(x = 1.42\) and \(-0.422\)
What is the size of each interior angle of a regular octagon?
135°
Make \(b\) the subject of the formula
$$c=3b-5$$
$$b=\frac{c+5}{3}$$
Calculate the value of:
8199 ÷ 9
= 911
What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8
What is the square root of
144
12
What is the difference between the 6th and the 7th prime numbers?
17 - 13 = 4
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, 5.5, 0.5, 5.55, 5.05, 0.55, 0.05, in ascending order.
0.05, 0.5, 0.55, 5, 5.05, 5.5, 5.55,
Write down these lengths: 1.8m, 107cm, 17cm, 1.08m, 18mm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 18cl, 200ml, 173ml, 21cl, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
j = 97
h = 75
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