What is the 9th:
a) Odd number; 17
b) Square number; 81
c) Prime number. 23
Find all the factors of:
29
1, 29.
Subtract the 5th from the 8th multiples of:
9
27
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) 28.33; 28.3
b) 332308; 332000
c) 71; 71.0
d) 0.007195; 0.00720
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 12cm, a height of 12cm and a top (parallel to base) of 6cm. 108cm2
Evaluate:
\( \frac{1}{4} + \frac{5}{8}\) \(= \frac{7}{8}\)
Evaluate:
\( \frac{1}{2} × \frac{3}{5}\) \(= \frac{3}{10}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{4}{3}\) \(= \frac{3}{8}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{4}{5}\) \(= 80\)%
Find the area of a circle that has a radius of 1cm. Give your answer to three significant figures.
3.14cm2
Find the circumference of a circle that has a radius of 12cm. Give your answer to three significant figures.
75.4cm
Calculate the value of:
6.5 + 4.8
= 11.3
Calculate the value of:
5.1 − 4.6
= 0.5
Calculate the value of:
8.7 × 7.2
= 62.64
Calculate the value of:
141.1 ÷ 17
= 8.3
What is the value of:
43
= 64
What is the value of:
\(3^{-3}\)
\(= \frac{1}{27}\)
Calculate the value of:
47 + 96
= 143
Calculate the value of:
84 − 27
= 57
Calculate the value of:
23 × 39
= 897
Calculate the value of:
1593 ÷ 27
= 59
Find the value of:
20% of 200
= 40
Find the value of:
2.29 × 105
= 229000
Find the highest common factor of twenty eight and eight.
= 4
9 × 5 = 45 | 5 × 3 = 15 |
4 × 3 = 12 | 6 × 5 = 30 |
3 × 3 = 9 | 8 × 2 = 16 |
7 × 3 = 21 | 2 × 3 = 6 |
5 × 7 = 35 | 8 × 10 = 80 |
4 × 10 = 40 | 7 × 5 = 35 |
3 × 10 = 30 | 9 × 5 = 45 |
6 × 4 = 24 | 2 × 2 = 4 |
3 × 2 = 6 | 8 × 2 = 16 |
4 × 2 = 8 | 9 × 2 = 18 |
5 × 2 = 10 | 6 × 2 = 12 |
7 × 2 = 14 | 2 × 2 = 4 |
3 × 3 = 9 | 8 × 3 = 24 |
5 × 3 = 15 | 9 × 3 = 27 |
6 × 3 = 18 | 4 × 3 = 12 |
7 × 3 = 21 | 2 × 3 = 6 |
3 × 4 = 12 | 8 × 4 = 32 |
6 × 4 = 24 | 7 × 4 = 28 |
5 × 4 = 20 | 4 × 4 = 16 |
9 × 4 = 36 | 2 × 4 = 8 |
6 × 5 = 30 | 9 × 5 = 45 |
5 × 5 = 25 | 3 × 5 = 15 |
8 × 5 = 40 | 4 × 5 = 20 |
7 × 5 = 35 | 2 × 5 = 10 |
7 × 6 = 42 | 9 × 6 = 54 |
4 × 6 = 24 | 5 × 6 = 30 |
3 × 6 = 18 | 6 × 6 = 36 |
8 × 6 = 48 | 2 × 6 = 12 |
7 × 7 = 49 | 5 × 7 = 35 |
4 × 7 = 28 | 9 × 7 = 63 |
6 × 7 = 42 | 8 × 7 = 56 |
3 × 7 = 21 | 2 × 7 = 14 |
6 × 8 = 48 | 5 × 8 = 40 |
3 × 8 = 24 | 8 × 8 = 64 |
4 × 8 = 32 | 7 × 8 = 56 |
9 × 8 = 72 | 2 × 8 = 16 |
9 × 9 = 81 | 7 × 9 = 63 |
5 × 9 = 45 | 3 × 9 = 27 |
6 × 9 = 54 | 4 × 9 = 36 |
8 × 9 = 72 | 2 × 9 = 18 |
7 × 12 = 84 | 4 × 12 = 48 |
9 × 12 = 108 | 6 × 12 = 72 |
3 × 12 = 36 | 5 × 12 = 60 |
8 × 12 = 96 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{35}{56}\) \(= \frac{5}{8}\)
Evaluate:
\( 3\frac{4}{5} − \frac{8}{9}\) \(= 2\frac{41}{45}\)
Find BC if AB = 3.5m and AC = 5.2m. 6.27m
Find angle ABC if AB = 3.6m and BC = 5.2m. 46.2o
Find AC if angle ABC = 44o and BC = 4.3m. 2.99m
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.
\( \frac{3}{6}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.66\) = \( \frac{33}{50}\)
Increase £40 by 45%
£58
What is the lowest common multiple of eight and twenty.
= 40
4,12,20,28,36...
Find the:
a) next term; 44
b) nth term; 8n - 4
c) term number 48; 380
5,10,20,40,80...
Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 8; 640
If £240 is invested for 6 years with a simple interest rate of 2%, find the amount of interest earned. £28.80
If £200 is invested with an interest rate of 1% compounded annually, find the value of the investment after 9 years. £218.74
If £1 is worth $1.24, convert:
a) £120 to dollars; $148.80
b) $200 to pounds; £161.29
What are the coordinates of the midpoint of the line joining:
\((-8,8) \text{ and } (0,14)\)
(-4,11)
What is the gradient of the line joining:
\((2,-3) \text{ and } (8,3)\)
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 − 18 = -11
b) 7 × (-11) = -77
c) (9−14)(7−13) = 30
d) 77 ÷ (-11) = -7
e) (-10)2 = 100
If p = 5, q = 23 and
r = -9 evaluate:
a) 2q − p = 41
b) pq + r = 106
c) p2 − 5q - r = -81
Solve:
\(3x = 12\)
\(x = 4\)
Solve:
\(5x +5= 35\)
\(x = 6\)
Solve:
\(7x +2= 4x + 11\)
\(x = 3\)
Solve:
\(5(3x -4)-9= 76\)
\(x = 7\)
Solve:
\(2(4x + 3)= 5(3x + 5)\)
\(x = -2.71 \text{(to 3 sf)}\)
Solve:
\(4x-4y = -8\)
\(3x-4y = -13\)
\(x = 5, y = 7\)
Solve:
\(3x-3y = -9\)
\(6x-9y = -33\)
\(x = 2, y = 5\)
Solve:
\(3x+7y = 8.5\)
\(5x+2y = -24.5\)
\(x = -6.5, y = 4\)
Find the union of:
{1,2,3,4,5} and
{5,6,7,8,9,10}
{1,2,3,4,5,6,7,8,9,10}
Find the intersection of:
{2,4,6,8,10} and
{1,3,5,7,9}
∅
A plane flies from point A to point B on a bearing of 055o. What bearing would it return on from B to A? 235o
A number is picked at random from the set
{2,3,5,7,11,13}
what is the probability it is even? \(\frac16\)
Evaluate:
(16 − 4)2 + 9 × 4
180
Simplify the following by collecting like terms:
\(3y+2w+7y\)
\(10y+2w\)
Divide 77 in the ratio
5:6
35 and 42
Draw a rough sketch of the graph of:
\(2y=x-2\)
Gradient 0.5
y intercept -1
Express the following number as the product of prime numbers:
6
2 x 3
In a sale an item costs £126 after a 30% reduction. What was the original price?
£180
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.
0.282828... \(\frac{28}{99}\)
Decrease £180 by 30%
£126
Expand:
\(8(3x-3)\)
\(24x-24\)
Expand:
\((4x+3)(3x-1)\)
\(12x^2+5x-3\)
Factorise:
\(3x-6\)
\(3(x-2)\)
Factorise:
\(x^2+2x-8\)
\((x+4)(x-2)\)
Factorise:
\(x^2-x-12\)
\((x+3)(x-4)\)
Which theorem?
Find the value of:
3.71 × 10-2
= 0.0371
Write in standard form:
701
= 7.01 × 102
Write in standard form:
0.00762
= 7.62 × 10-3
Find the nth term:
\(10, 20, 34, 52, 74, \)
\(2n^2+4n+4\)
Multiply 9 × 102
by 8 × 103 and give the answer in standard form.
= 7.2 × 106
Solve:
\(x^2+2x-8= 0\)
\(x = 2\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2-5x-4 = 0\)
\(x = 1.52\) and \(-0.525\)
What is the size of each exterior angle of a regular heptagon?
51.4°
Make \(h\) the subject of the formula
$$e=\frac{h}{4}-5$$
$$h=4(e+5)$$
Calculate the value of:
6507 ÷ 9
= 723
What is the 10th:
a) Cube number; 1000
b) Triangular number; 55
c) Fibonacci number. 55
What is the difference between the 6th and the 7th square numbers?
13
What are the three largest prime numbers less than
43
41, 37, 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: 0.6, 6, 6.66, 6.6, 6.06, 0.66, 0.06, in ascending order.
0.06, 0.6, 0.66, 6, 6.06, 6.6, 6.66,
Write down these lengths: 107cm, 1.08m, 17cm, 1.8m, 18mm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 17cl, 173ml, 200ml, 21cl, 18cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
f = 132
d = 91
Round to one significant figure:
a) 32.85; 30
b) 256234; 300000
c) 49; 50
d) 0.00273; 0.003
Round each value to one significant figure to make an estimate:$$(173 + 8.8) \div 15$$\((200 + 9) \div 20 = 10.45\)
A pie chart shows the colours of 20 books. What sector angle represents the
12 red books?
216°
What is the equation?
\(y=2x\)A pie chart shows the colours of 9 hats. How many green hats are represented
by a sector
angle of 120°?
3
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