What is the 11th:
a) Odd number; 21
b) Square number; 121
c) Prime number. 31
Find all the factors of:
42
1, 2, 3, 6, 7, 14, 21, 42.
Subtract the 6th from the 10th multiples of:
10
40
What are the names of regular polygons with:
a) four sides;
b) five sides;
c) six sides.
Square, Pentagon and Hexagon (all regular)
Round to three significant figures:
a) 66.76; 66.8
b) 124137; 124000
c) 61; 61.0
d) 0.006195; 0.00620
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 15cm, a height of 11cm and a top (parallel to base) of 5cm. 110cm2
Evaluate:
\( \frac{1}{4} + \frac{6}{8}\) \(= 1\)
Evaluate:
\( \frac{1}{2} × \frac{3}{4}\) \(= \frac{3}{8}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{5}{4}\) \(= \frac{8}{15}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{1}{4}\) \(= 25\)%
Find the area of a circle that has a radius of 11cm. Give your answer to three significant figures.
380cm2
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:
9.9 + 5.4
= 15.3
Calculate the value of:
7.4 − 4.6
= 2.8
Calculate the value of:
2.7 × 6.8
= 18.36
Calculate the value of:
129.2 ÷ 19
= 6.8
What is the value of:
22
= 4
What is the value of:
\(16^{\frac{1}{2}}\)
\(= 4\)
Calculate the value of:
45 + 38
= 83
Calculate the value of:
51 − 25
= 26
Calculate the value of:
89 × 74
= 6586
Calculate the value of:
832 ÷ 13
= 64
Find the value of:
60% of 340
= 204
Find the value of:
7.85 × 106
= 7850000
Find the highest common factor of eighteen and six.
= 6
9 × 4 = 36 | 7 × 5 = 35 |
8 × 3 = 24 | 3 × 4 = 12 |
4 × 3 = 12 | 6 × 3 = 18 |
5 × 2 = 10 | 2 × 5 = 10 |
7 × 4 = 28 | 9 × 3 = 27 |
4 × 4 = 16 | 3 × 11 = 33 |
5 × 4 = 20 | 6 × 4 = 24 |
8 × 5 = 40 | 2 × 10 = 20 |
4 × 2 = 8 | 8 × 2 = 16 |
6 × 2 = 12 | 3 × 2 = 6 |
7 × 2 = 14 | 5 × 2 = 10 |
9 × 2 = 18 | 2 × 2 = 4 |
6 × 3 = 18 | 8 × 3 = 24 |
3 × 3 = 9 | 4 × 3 = 12 |
5 × 3 = 15 | 9 × 3 = 27 |
7 × 3 = 21 | 2 × 3 = 6 |
8 × 4 = 32 | 3 × 4 = 12 |
9 × 4 = 36 | 6 × 4 = 24 |
7 × 4 = 28 | 4 × 4 = 16 |
5 × 4 = 20 | 2 × 4 = 8 |
6 × 5 = 30 | 8 × 5 = 40 |
3 × 5 = 15 | 5 × 5 = 25 |
9 × 5 = 45 | 7 × 5 = 35 |
4 × 5 = 20 | 2 × 5 = 10 |
8 × 6 = 48 | 6 × 6 = 36 |
5 × 6 = 30 | 4 × 6 = 24 |
3 × 6 = 18 | 7 × 6 = 42 |
9 × 6 = 54 | 2 × 6 = 12 |
9 × 7 = 63 | 8 × 7 = 56 |
5 × 7 = 35 | 3 × 7 = 21 |
7 × 7 = 49 | 4 × 7 = 28 |
6 × 7 = 42 | 2 × 7 = 14 |
8 × 8 = 64 | 7 × 8 = 56 |
6 × 8 = 48 | 5 × 8 = 40 |
3 × 8 = 24 | 9 × 8 = 72 |
4 × 8 = 32 | 2 × 8 = 16 |
5 × 9 = 45 | 3 × 9 = 27 |
7 × 9 = 63 | 9 × 9 = 81 |
8 × 9 = 72 | 6 × 9 = 54 |
4 × 9 = 36 | 2 × 9 = 18 |
9 × 12 = 108 | 8 × 12 = 96 |
7 × 12 = 84 | 3 × 12 = 36 |
6 × 12 = 72 | 5 × 12 = 60 |
4 × 12 = 48 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{4}{16}\) \(= \frac{1}{4}\)
Evaluate:
\( 3\frac{1}{2} − \frac{5}{6}\) \(= 2\frac{2}{3}\)
Find BC if AB = 3.4m and AC = 4.6m. 5.72m
Find angle BCA if AC = 4.2m and BC = 5.7m. 42.5o
Find BC if angle BCA = 64o and AB = 3.4m. 3.78m
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.
\( \frac{5}{10}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.29\) = \( \frac{29}{100}\)
Increase £40 by 5%
£42
What is the lowest common multiple of ten and thirty five.
= 70
4,15,26,37,48...
Find the:
a) next term; 59
b) nth term; 11n - 7
c) term number 52; 565
6,24,96,384,1536...
Find the:
a) next term; 6144
b) nth term; 6 × 4n-1
c) term number 12; 25165824
If £140 is invested for 9 years with a simple interest rate of 1%, find the amount of interest earned. £12.60
If £160 is invested with an interest rate of 2% compounded annually, find the value of the investment after 6 years. £180.19
If £1 is worth $1.35, convert:
a) £240 to dollars; $324.00
b) $120 to pounds; £88.89
What are the coordinates of the midpoint of the line joining:
\((-8,-3) \text{ and } (-2,5)\)
(-5,1)
What is the gradient of the line joining:
\((9,3) \text{ and } (13,9)\)
\(\frac{3}{2}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((1,4),(5,7),(-2,8)\)
(2,11)
a) 7 − 14 = -7
b) 7 × (-7) = -49
c) (5−17)(7−18) = 132
d) 49 ÷ (-7) = -7
e) (-9)2 = 81
If p = 6, q = 20 and
r = -7 evaluate:
a) 2q − p = 34
b) pq + r = 113
c) p2 − 5q - r = -57
Solve:
\(3x = 27\)
\(x = 9\)
Solve:
\(3x +2= 23\)
\(x = 7\)
Solve:
\(3x -4= 2x + -1\)
\(x = 3\)
Solve:
\(2(5x +2)+5= 49\)
\(x = 4\)
Solve:
\(4(3x + 4)= 2(3x + 3)\)
\(x = -1.67 \text{(to 3 sf)}\)
Solve:
\(2x-2y = 4\)
\(4x-2y = 16\)
\(x = 6, y = 4\)
Solve:
\(3x+2y = 27\)
\(7x-4y = 11\)
\(x = 5, y = 6\)
Solve:
\(2x-3y = -8.5\)
\(3x+2y = 23\)
\(x = 4, y = 5.5\)
Find the union of:
{5,6,7,8,9,10} and
{3,6,9,12,15}
{3,5,6,7,8,9,10,12,15}
Find the intersection of:
{5,6,7,8,9,10} and
{2,6,12}
{6}
A plane flies from point A to point B on a bearing of 272o. What bearing would it return on from B to A? 092o
A number is picked at random from the set
{1,3,6,10,15}
what is the probability it is even? \(\frac25\)
Evaluate:
52 − 5 × 9 + 9
-11
Simplify the following by collecting like terms:
\(b+4c-7b+4c\)
\(8c-6b\)
Divide 35 in the ratio
1:6
5 and 30
Draw a rough sketch of the graph of:
\(y=-2x-1\)
Gradient -2
y intercept -1
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 £66 after a 45% reduction. What was the original price?
£120
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.
0.323232... \(\frac{32}{99}\)
Decrease £120 by 20%
£96
Expand:
\(8(6x-8)\)
\(48x-64\)
Expand:
\((4x+3)(x-3)\)
\(4x^2-9x-9\)
Factorise:
\(2x-2\)
\(2(x-1)\)
Factorise:
\(x^2+x-6\)
\((x+3)(x-2)\)
Factorise:
\(2x^2-3x-2\)
\((2x+1)(x-2)\)
Which theorem?
Find the value of:
7.94 × 10-3
= 0.00794
Write in standard form:
8370000
= 8.37 × 106
Write in standard form:
0.0983
= 9.83 × 10-2
Find the nth term:
\(6, 15, 28, 45, 66, \)
\(2n^2+3n+1\)
Multiply 4 × 103
by 5 × 103 and give the answer in standard form.
= 2 × 107
Solve:
\(x^2+x-12= 0\)
\(x = 3\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2+2x-4 = 0\)
\(x = 0.717\) and \(-1.12\)
What is the size of each exterior angle of a regular octagon?
45°
Make \(k\) the subject of the formula
$$c=\frac{a(2+k)}{b}$$
$$k=\frac{bc}{a}-2$$
Calculate the value of:
7128 ÷ 8
= 891
What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8
What are the next three square numbers after
64
81, 100, 121
What are the next three prime numbers after
41
43, 47, 53
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: 0.2, 2, 0.22, 2.02, 2.2, 2.22, 0.02, in ascending order.
0.02, 0.2, 0.22, 2, 2.02, 2.2, 2.22,
Write down these lengths: 17cm, 18mm, 107cm, 1.8m, 1.08m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 173ml, 18cl, 21cl, 17cl, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
j = 97
b = 48
Round to one significant figure:
a) 14.89; 10
b) 756540; 800000
c) 97; 100
d) 0.00265; 0.003
Round each value to one significant figure to make an estimate:$$(172 + 2.7) \div 19$$\((200 + 3) \div 20 = 10.15\)
A pie chart shows the colours of 15 books. What sector angle represents the
5 red books?
120°
What is the equation?
\(y=x+1\)A pie chart shows the colours of 36 hats. How many green hats are represented
by a sector
angle of 140°?
14
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