What is the 8th:
a) Odd number; 15
b) Square number; 64
c) Prime number. 19
Find all the factors of:
22
1, 2, 11, 22.
Subtract the 7th from the 10th multiples of:
3
9
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) 66.69; 66.7
b) 554910; 555000
c) 43; 43.0
d) 0.004395; 0.00440
Find the area of a triangle that has a base of 7cm and a height of 10cm.
35cm2
Find the area of a trapezium that has a base of 14cm, a height of 10cm and a top (parallel to base) of 6cm. 100cm2
Evaluate:
\( \frac{1}{3} + \frac{6}{7}\) \(= 1\frac{4}{21}\)
Evaluate:
\( \frac{1}{3} × \frac{5}{6}\) \(= \frac{5}{18}\)
Evaluate:
\( \frac{1}{3} ÷ \frac{6}{4}\) \(= \frac{2}{9}\)
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 7cm. Give your answer to three significant figures.
154cm2
Find the circumference of a circle that has a radius of 2cm. Give your answer to three significant figures.
12.6cm
Calculate the value of:
3.7 + 6.8
= 10.5
Calculate the value of:
9.2 − 1.7
= 7.5
Calculate the value of:
4.5 × 8.3
= 37.35
Calculate the value of:
91.8 ÷ 17
= 5.4
What is the value of:
23
= 8
What is the value of:
\(3^{0}\)
\(= 1\)
Calculate the value of:
89 + 26
= 115
Calculate the value of:
51 − 26
= 25
Calculate the value of:
68 × 34
= 2312
Calculate the value of:
2117 ÷ 29
= 73
Find the value of:
90% of 100
= 90
Find the value of:
1.6 × 103
= 1600
Find the highest common factor of twenty seven and six.
= 3
9 × 5 = 45 | 8 × 5 = 40 |
7 × 3 = 21 | 5 × 3 = 15 |
4 × 3 = 12 | 3 × 4 = 12 |
6 × 4 = 24 | 2 × 4 = 8 |
6 × 12 = 72 | 3 × 3 = 9 |
4 × 8 = 32 | 7 × 2 = 14 |
8 × 11 = 88 | 9 × 8 = 72 |
5 × 8 = 40 | 2 × 4 = 8 |
3 × 2 = 6 | 7 × 2 = 14 |
6 × 2 = 12 | 4 × 2 = 8 |
8 × 2 = 16 | 9 × 2 = 18 |
5 × 2 = 10 | 2 × 2 = 4 |
7 × 3 = 21 | 9 × 3 = 27 |
8 × 3 = 24 | 6 × 3 = 18 |
3 × 3 = 9 | 5 × 3 = 15 |
4 × 3 = 12 | 2 × 3 = 6 |
6 × 4 = 24 | 3 × 4 = 12 |
8 × 4 = 32 | 7 × 4 = 28 |
4 × 4 = 16 | 9 × 4 = 36 |
5 × 4 = 20 | 2 × 4 = 8 |
3 × 5 = 15 | 6 × 5 = 30 |
5 × 5 = 25 | 8 × 5 = 40 |
7 × 5 = 35 | 9 × 5 = 45 |
4 × 5 = 20 | 2 × 5 = 10 |
5 × 6 = 30 | 3 × 6 = 18 |
9 × 6 = 54 | 7 × 6 = 42 |
6 × 6 = 36 | 4 × 6 = 24 |
8 × 6 = 48 | 2 × 6 = 12 |
9 × 7 = 63 | 5 × 7 = 35 |
8 × 7 = 56 | 7 × 7 = 49 |
4 × 7 = 28 | 3 × 7 = 21 |
6 × 7 = 42 | 2 × 7 = 14 |
5 × 8 = 40 | 6 × 8 = 48 |
8 × 8 = 64 | 7 × 8 = 56 |
9 × 8 = 72 | 3 × 8 = 24 |
4 × 8 = 32 | 2 × 8 = 16 |
7 × 9 = 63 | 5 × 9 = 45 |
4 × 9 = 36 | 8 × 9 = 72 |
9 × 9 = 81 | 6 × 9 = 54 |
3 × 9 = 27 | 2 × 9 = 18 |
5 × 12 = 60 | 8 × 12 = 96 |
7 × 12 = 84 | 4 × 12 = 48 |
3 × 12 = 36 | 9 × 12 = 108 |
6 × 12 = 72 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{20}{32}\) \(= \frac{5}{8}\)
Evaluate:
\( 2\frac{4}{5} − \frac{7}{8}\) \(= 1\frac{37}{40}\)
Find BC if AB = 4.3m and AC = 6m. 7.38m
Find angle BCA if AC = 4.3m and BC = 5.9m. 43.2o
Find BC if angle BCA = 60o and AB = 3.7m. 4.27m
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.
\( \frac{1}{4}\) \(= 0.25\)
Convert this decimal to a fraction.
\(0.37\) = \( \frac{37}{100}\)
Increase £80 by 5%
£84
What is the lowest common multiple of eight and twenty eight.
= 56
7,20,33,46,59...
Find the:
a) next term; 72
b) nth term; 13n - 6
c) term number 51; 657
5,10,20,40,80...
Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 12; 10240
If £240 is invested for 9 years with a simple interest rate of 4%, find the amount of interest earned. £86.40
If £180 is invested with an interest rate of 2% compounded annually, find the value of the investment after 6 years. £202.71
If £1 is worth $1.36, convert:
a) £120 to dollars; $163.20
b) $160 to pounds; £117.65
What are the coordinates of the midpoint of the line joining:
\((9,8) \text{ and } (19,14)\)
(14,11)
What is the gradient of the line joining:
\((4,2) \text{ and } (10,8)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,1),(9,4),(2,5)\)
(6,8)
a) 11 − 16 = -5
b) 11 × (-12) = -132
c) (8−14)(11−22) = 66
d) 132 ÷ (-12) = -11
e) (-11)2 = 121
If p = 5, q = 22 and
r = -8 evaluate:
a) 2q − p = 39
b) pq + r = 102
c) p2 − 5q - r = -77
Solve:
\(3x = 24\)
\(x = 8\)
Solve:
\(3x -1= 14\)
\(x = 5\)
Solve:
\(9x -2= 6x + 19\)
\(x = 7\)
Solve:
\(5(5x +3)-8= 207\)
\(x = 8\)
Solve:
\(3(4x + 4)= 2(2x + 3)\)
\(x = -0.75\)
Solve:
\(2x+2y = 20\)
\(4x-2y = 22\)
\(x = 7, y = 3\)
Solve:
\(4x+4y = 44\)
\(6x+12y = 90\)
\(x = 7, y = 4\)
Solve:
\(2x+2y = -27\)
\(3x+5y = -49.5\)
\(x = -9, y = -4.5\)
Find the union of:
{1,2,3,4,5} and
{2,4,6,8,10}
{1,2,3,4,5,6,8,10}
Find the intersection of:
{2,4,6,8,10} and
{5,6,7,8,9,10}
{6,8,10}
A plane flies from point A to point B on a bearing of 104o. What bearing would it return on from B to A? 284o
A number is picked at random from the set
{1,3,5,7,9}
what is the probability it is even? 0
Evaluate:
21 ÷ 3 × 18 ÷ 2
63
Simplify the following by collecting like terms:
\(3b+5c+8b+4c\)
\(11b+9c\)
Divide 55 in the ratio
8:3
40 and 15
Draw a rough sketch of the graph of:
\(y=-x-1\)
Gradient -1
y intercept -1
Express the following number as the product of prime numbers:
216
2 x 2 x 2 x 3 x 3 x 3
In a sale an item costs £102 after a 15% reduction. What was the original price?
£120
Find the mean, mode, median and range of the following:
7,7,2,7,7
Mean = 6, mode = 7,
median = 7 and range = 5
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.494949... \(\frac{49}{99}\)
Decrease £180 by 20%
£144
Expand:
\(2(2x-4)\)
\(4x-8\)
Expand:
\((3x+1)(3x-3)\)
\(9x^2-6x-3\)
Factorise:
\(4x-4\)
\(4(x-1)\)
Factorise:
\(x^2-16\)
\((x+4)(x-4)\)
Factorise:
\(2x^2+5x-3\)
\((x+3)(2x-1)\)
Which theorem?
Find the value of:
2.5 × 10-3
= 0.0025
Write in standard form:
837
= 8.37 × 102
Write in standard form:
0.000054
= 5.4 × 10-5
Find the nth term:
\(1, 11, 25, 43, 65, \)
\(2n^2+4n-5\)
Multiply 6 × 106
by 8 × 103 and give the answer in standard form.
= 4.8 × 1010
Solve:
\(x^2-x-6= 0\)
\(x = 3\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+5x-1 = 0\)
\(x = 0.180\) and \(-1.85\)
What is the size of each interior angle of a regular decagon?
144°
Make \(e\) the subject of the formula
$$f=g(e+h)$$
$$e=\frac{f}{g}-h$$
Calculate the value of:
6128 ÷ 8
= 766
What is the 10th:
a) Cube number; 1000
b) Triangular number; 55
c) Fibonacci number. 55
What is the square of
9
81
What is the difference between the 5th and the 6th prime numbers?
13 - 11 = 2
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, 2.22, 0.22, 2.02, 2.2, 2, 0.02, in ascending order.
0.02, 0.2, 0.22, 2, 2.02, 2.2, 2.22,
Write down these lengths: 18mm, 1.8m, 17cm, 107cm, 1.08m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 173ml, 17cl, 18cl, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
b = 52
j = 58
Round to one significant figure:
a) 88.38; 90
b) 240736; 200000
c) 81; 80
d) 0.00525; 0.005
Round each value to one significant figure to make an estimate:$$(182 + 6.5) \div 18$$\((200 + 7) \div 20 = 10.35\)
A pie chart shows the colours of 180 books. What sector angle represents the
169 red books?
338°
What is the equation?
\(y=x-4\)A pie chart shows the colours of 9 hats. How many green hats are represented
by a sector
angle of 160°?
4
Simplify:
$$\sqrt{18}$$
\(3\sqrt{2}\)
Simplify:
$$\dfrac{3}{4\sqrt{2}}$$\(\frac{3\sqrt{2}}{8}\)
Simplify:
$$\dfrac{9}{2 + \sqrt{5}}$$\(\frac{18 - 9\sqrt{5}}{-1} = -18 + 9\sqrt{5}\)
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