What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37
Find all the factors of:
46
1, 2, 23, 46.
Subtract the 5th from the 8th multiples of:
11
33
What are the names of regular polygons with:
a) three sides;
b) four sides;
c) five sides.
Equilateral Triangle, Square and Pentagon (all regular)
Round to three significant figures:
a) 75.48; 75.5
b) 268085; 268000
c) 25; 25.0
d) 0.002595; 0.00260
Find the area of a triangle that has a base of 3cm and a height of 7cm.
10.5cm2
Find the area of a trapezium that has a base of 9cm, a height of 5cm and a top (parallel to base) of 3cm. 30cm2
Evaluate:
\( \frac{3}{5} + \frac{6}{8}\) \(= 1\frac{7}{20}\)
Evaluate:
\( \frac{3}{4} × \frac{6}{8}\) \(= \frac{9}{16}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{6}{4}\) \(= \frac{1}{3}\)
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.
\( \frac{5}{7}\) \(= 71.4\)%
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 6cm. Give your answer to three significant figures.
37.7cm
Calculate the value of:
2.9 + 5.6
= 8.5
Calculate the value of:
5.3 − 4.7
= 0.6
Calculate the value of:
6.3 × 7.5
= 47.25
Calculate the value of:
102 ÷ 15
= 6.8
What is the value of:
53
= 125
What is the value of:
\(8^{\frac{1}{3}}\)
\(= 2\)
Calculate the value of:
77 + 54
= 131
Calculate the value of:
81 − 27
= 54
Calculate the value of:
64 × 73
= 4672
Calculate the value of:
1092 ÷ 14
= 78
Find the value of:
30% of 120
= 36
Find the value of:
3.77 × 103
= 3770
Find the highest common factor of twenty four and twenty.
= 4
3 × 3 = 9 | 9 × 2 = 18 |
6 × 4 = 24 | 5 × 2 = 10 |
8 × 3 = 24 | 7 × 5 = 35 |
4 × 2 = 8 | 2 × 4 = 8 |
4 × 8 = 32 | 8 × 7 = 56 |
6 × 8 = 48 | 9 × 7 = 63 |
5 × 7 = 35 | 3 × 4 = 12 |
7 × 3 = 21 | 2 × 5 = 10 |
8 × 2 = 16 | 5 × 2 = 10 |
9 × 2 = 18 | 7 × 2 = 14 |
3 × 2 = 6 | 6 × 2 = 12 |
4 × 2 = 8 | 2 × 2 = 4 |
4 × 3 = 12 | 6 × 3 = 18 |
5 × 3 = 15 | 7 × 3 = 21 |
8 × 3 = 24 | 3 × 3 = 9 |
9 × 3 = 27 | 2 × 3 = 6 |
8 × 4 = 32 | 9 × 4 = 36 |
6 × 4 = 24 | 5 × 4 = 20 |
7 × 4 = 28 | 3 × 4 = 12 |
4 × 4 = 16 | 2 × 4 = 8 |
9 × 5 = 45 | 4 × 5 = 20 |
6 × 5 = 30 | 5 × 5 = 25 |
3 × 5 = 15 | 8 × 5 = 40 |
7 × 5 = 35 | 2 × 5 = 10 |
9 × 6 = 54 | 4 × 6 = 24 |
6 × 6 = 36 | 3 × 6 = 18 |
7 × 6 = 42 | 8 × 6 = 48 |
5 × 6 = 30 | 2 × 6 = 12 |
8 × 7 = 56 | 3 × 7 = 21 |
4 × 7 = 28 | 7 × 7 = 49 |
9 × 7 = 63 | 6 × 7 = 42 |
5 × 7 = 35 | 2 × 7 = 14 |
7 × 8 = 56 | 6 × 8 = 48 |
5 × 8 = 40 | 3 × 8 = 24 |
4 × 8 = 32 | 9 × 8 = 72 |
8 × 8 = 64 | 2 × 8 = 16 |
3 × 9 = 27 | 6 × 9 = 54 |
9 × 9 = 81 | 7 × 9 = 63 |
5 × 9 = 45 | 8 × 9 = 72 |
4 × 9 = 36 | 2 × 9 = 18 |
9 × 12 = 108 | 8 × 12 = 96 |
5 × 12 = 60 | 3 × 12 = 36 |
4 × 12 = 48 | 6 × 12 = 72 |
7 × 12 = 84 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{14}{35}\) \(= \frac{2}{5}\)
Evaluate:
\( 2\frac{4}{5} − \frac{8}{9}\) \(= 1\frac{41}{45}\)
Find AC if AB = 5.7m and BC = 6.7m. 3.52m
Find angle ABC if AC = 5.2m and BC = 6.9m. 48.9o
Find AB if angle ABC = 58o and BC = 4m. 2.12m
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.
\( \frac{5}{9}\) \(= 0.556\)
Convert this decimal to a fraction.
\(0.79\) = \( \frac{79}{100}\)
Increase £160 by 30%
£208
What is the lowest common multiple of six and fourteen.
= 42
3,8,13,18,23...
Find the:
a) next term; 28
b) nth term; 5n - 2
c) term number 31; 153
6,18,54,162,486...
Find the:
a) next term; 1458
b) nth term; 6 × 3n-1
c) term number 12; 1062882
If £160 is invested for 9 years with a simple interest rate of 4%, find the amount of interest earned. £57.60
If £200 is invested with an interest rate of 5% compounded annually, find the value of the investment after 4 years. £243.10
If £1 is worth $1.22, convert:
a) £160 to dollars; $195.20
b) $200 to pounds; £163.93
What are the coordinates of the midpoint of the line joining:
\((-8,7) \text{ and } (4,17)\)
(-2,12)
What is the gradient of the line joining:
\((8,-1) \text{ and } (14,5)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((3,3),(9,8),(-2,9)\)
(4,14)
a) 7 − 15 = -8
b) 7 × (-5) = -35
c) (5−14)(10−16) = 54
d) 35 ÷ (-5) = -7
e) (-6)2 = 36
If p = 5, q = 21 and
r = -11 evaluate:
a) 2q − p = 37
b) pq + r = 94
c) p2 − 5q - r = -69
Solve:
\(5x = 20\)
\(x = 4\)
Solve:
\(5x +4= 29\)
\(x = 5\)
Solve:
\(4x +4= 2x + 12\)
\(x = 4\)
Solve:
\(4(5x -6)-5= 51\)
\(x = 4\)
Solve:
\(4(4x + 3)= 5(5x + 4)\)
\(x = -0.889 \text{(to 3 sf)}\)
Solve:
\(5x+2y = 22\)
\(3x+2y = 18\)
\(x = 2, y = 6\)
Solve:
\(4x+2y = 26\)
\(6x+6y = 60\)
\(x = 3, y = 7\)
Solve:
\(3x+7y = 41.5\)
\(5x-2y = -26.5\)
\(x = -2.5, y = 7\)
Find the union of:
{1,2,3,4,5} and
{6,7,8,9,10}
{1,2,3,4,5,6,7,8,9,10}
Find the intersection of:
{1,3,5,7,9} and
{3,4,5,6,7,8}
{3,5,7}
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:
(18 − 5)2 + 5 × 6
199
Simplify the following by collecting like terms:
\(6m+7+5m+8\)
\(11m+15\)
Divide 56 in the ratio
4:3
32 and 24
Draw a rough sketch of the graph of:
\(y=2x-2\)
Gradient 2
y intercept -2
Express the following number as the product of prime numbers:
1080
2 x 2 x 2 x 3 x 3 x 3 x 5
In a sale an item costs £57 after a 5% reduction. What was the original price?
£60
Find the mean, mode, median and range of the following:
5,6,7,8,9,10
Mean = 7.5, no mode,
median = 7.5 and range = 5
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.191919... \(\frac{19}{99}\)
Decrease £180 by 5%
£171
Expand:
\(7(7x-9)\)
\(49x-63\)
Expand:
\((x+3)(x-1)\)
\(x^2+2x-3\)
Factorise:
\(24x-9\)
\(3(8x-3)\)
Factorise:
\(x^2-16\)
\((x+4)(x-4)\)
Factorise:
\(3x^2+8x-3\)
\((x+3)(3x-1)\)
Which theorem?
Find the value of:
5.86 × 10-3
= 0.00586
Write in standard form:
99900
= 9.99 × 104
Write in standard form:
0.00248
= 2.48 × 10-3
Find the nth term:
\(11, 25, 45, 71, 103, \)
\(3n^2+5n+3\)
Multiply 8 × 104
by 5 × 103 and give the answer in standard form.
= 4 × 108
Solve:
\(x^2+3x-10= 0\)
\(x = 2\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2-4x-2 = 0\)
\(x = 1.15\) and \(-0.348\)
What is the size of each exterior angle of a regular pentagon?
72°
Make \(e\) the subject of the formula
$$f=g(e+h)$$
$$e=\frac{f}{g}-h$$
Calculate the value of:
3744 ÷ 4
= 936
What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5
What are the three largest square numbers less than
121
100, 81, 64
What is the 11th prime number?
31
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: 6.06, 6.6, 0.66, 0.6, 6, 6.66, 0.06, in ascending order.
0.06, 0.6, 0.66, 6, 6.06, 6.6, 6.66,
Write down these lengths: 1.08m, 1.8m, 107cm, 18mm, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 17cl, 21cl, 173ml, 18cl, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
a = 48
h = 75
Round to one significant figure:
a) 82.12; 80
b) 838413; 800000
c) 20; 20
d) 0.00123; 0.001
Round each value to one significant figure to make an estimate:$$42 + 3.9 \times 63$$\(40 + 4 \times 60 = 280\)
A pie chart shows the colours of 30 books. What sector angle represents the
19 red books?
228°
What is the equation?
\(y=x\)A pie chart shows the colours of 18 hats. How many green hats are represented
by a sector
angle of 220°?
11
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