What is the 8th:
a) Odd number; 15
b) Square number; 64
c) Prime number. 19
Find all the factors of:
40
1, 2, 4, 5, 8, 10, 20, 40.
Subtract the 6th from the 11th multiples of:
7
35
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) 21.02; 21.0
b) 621723; 622000
c) 65; 65.0
d) 0.006595; 0.00660
Find the area of a triangle that has a base of 6cm and a height of 11cm.
33cm2
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:
\( \frac{4}{6} + \frac{9}{11}\) \(= 1\frac{16}{33}\)
Evaluate:
\( \frac{1}{3} × \frac{4}{5}\) \(= \frac{4}{15}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{5}{4}\) \(= \frac{2}{5}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{4}{8}\) \(= 50\)%
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 10cm. Give your answer to three significant figures.
62.8cm
Calculate the value of:
3.8 + 4.7
= 8.5
Calculate the value of:
5.1 − 2.5
= 2.6
Calculate the value of:
7.5 × 7.7
= 57.75
Calculate the value of:
138.6 ÷ 18
= 7.7
What is the value of:
22
= 4
What is the value of:
\(16^{\frac{1}{2}}\)
\(= 4\)
Calculate the value of:
29 + 96
= 125
Calculate the value of:
91 − 26
= 65
Calculate the value of:
58 × 38
= 2204
Calculate the value of:
2465 ÷ 29
= 85
Find the value of:
50% of 100
= 50
Find the value of:
9.15 × 103
= 9150
Find the highest common factor of twelve and ten.
= 2
6 × 3 = 18 | 3 × 4 = 12 |
7 × 4 = 28 | 9 × 2 = 18 |
5 × 4 = 20 | 8 × 3 = 24 |
4 × 4 = 16 | 2 × 2 = 4 |
3 × 2 = 6 | 6 × 12 = 72 |
9 × 9 = 81 | 7 × 8 = 56 |
8 × 12 = 96 | 4 × 3 = 12 |
5 × 3 = 15 | 2 × 11 = 22 |
9 × 2 = 18 | 3 × 2 = 6 |
4 × 2 = 8 | 7 × 2 = 14 |
8 × 2 = 16 | 5 × 2 = 10 |
6 × 2 = 12 | 2 × 2 = 4 |
8 × 3 = 24 | 6 × 3 = 18 |
3 × 3 = 9 | 7 × 3 = 21 |
9 × 3 = 27 | 5 × 3 = 15 |
4 × 3 = 12 | 2 × 3 = 6 |
3 × 4 = 12 | 5 × 4 = 20 |
9 × 4 = 36 | 7 × 4 = 28 |
6 × 4 = 24 | 4 × 4 = 16 |
8 × 4 = 32 | 2 × 4 = 8 |
6 × 5 = 30 | 4 × 5 = 20 |
3 × 5 = 15 | 8 × 5 = 40 |
7 × 5 = 35 | 5 × 5 = 25 |
9 × 5 = 45 | 2 × 5 = 10 |
3 × 6 = 18 | 9 × 6 = 54 |
8 × 6 = 48 | 5 × 6 = 30 |
4 × 6 = 24 | 6 × 6 = 36 |
7 × 6 = 42 | 2 × 6 = 12 |
3 × 7 = 21 | 7 × 7 = 49 |
9 × 7 = 63 | 5 × 7 = 35 |
6 × 7 = 42 | 8 × 7 = 56 |
4 × 7 = 28 | 2 × 7 = 14 |
6 × 8 = 48 | 4 × 8 = 32 |
8 × 8 = 64 | 5 × 8 = 40 |
9 × 8 = 72 | 7 × 8 = 56 |
3 × 8 = 24 | 2 × 8 = 16 |
3 × 9 = 27 | 5 × 9 = 45 |
4 × 9 = 36 | 6 × 9 = 54 |
9 × 9 = 81 | 8 × 9 = 72 |
7 × 9 = 63 | 2 × 9 = 18 |
4 × 12 = 48 | 3 × 12 = 36 |
8 × 12 = 96 | 6 × 12 = 72 |
7 × 12 = 84 | 5 × 12 = 60 |
9 × 12 = 108 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{28}{42}\) \(= \frac{2}{3}\)
Evaluate:
\( 3\frac{2}{3} − \frac{4}{5}\) \(= 2\frac{13}{15}\)
Find BC if AB = 4.8m and AC = 6m. 7.68m
Find angle BCA if AC = 5.5m and BC = 6.5m. 32.2o
Find AC if angle BCA = 47o and AB = 3m. 2.80m
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.
\( \frac{5}{7}\) \(= 0.714\)
Convert this decimal to a fraction.
\(0.49\) = \( \frac{49}{100}\)
Increase £80 by 25%
£100
What is the lowest common multiple of eight and twelve.
= 24
7,20,33,46,59...
Find the:
a) next term; 72
b) nth term; 13n - 6
c) term number 47; 605
4,12,36,108,324...
Find the:
a) next term; 972
b) nth term; 4 × 3n-1
c) term number 10; 78732
If £120 is invested for 7 years with a simple interest rate of 2%, find the amount of interest earned. £16.80
If £180 is invested with an interest rate of 6% compounded annually, find the value of the investment after 5 years. £240.88
If £1 is worth $1.24, convert:
a) £140 to dollars; $173.60
b) $220 to pounds; £177.42
What are the coordinates of the midpoint of the line joining:
\((3,9) \text{ and } (9,15)\)
(6,12)
What is the gradient of the line joining:
\((-8,-8) \text{ and } (-3,-2)\)
\(\frac{6}{5}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((1,1),(4,4),(-2,4)\)
(1,7)
a) 7 − 13 = -6
b) 7 × (-12) = -84
c) (11−22)(11−20) = 99
d) 84 ÷ (-12) = -7
e) (-8)2 = 64
If p = 6, q = 19 and
r = -6 evaluate:
a) 2q − p = 32
b) pq + r = 108
c) p2 − 5q - r = -53
Solve:
\(2x = 16\)
\(x = 8\)
Solve:
\(3x +2= 14\)
\(x = 4\)
Solve:
\(5x -3= 2x + 9\)
\(x = 4\)
Solve:
\(5(5x +2)-11= 224\)
\(x = 9\)
Solve:
\(4(2x + 3)= 2(3x + 4)\)
\(x = -2\)
Solve:
\(6x-5y = 5\)
\(5x+5y = 50\)
\(x = 5, y = 5\)
Solve:
\(3x+5y = 36\)
\(7x+10y = 79\)
\(x = 7, y = 3\)
Solve:
\(2x-3y = 17\)
\(3x-2y = 20.5\)
\(x = 5.5, y = -2\)
Find the union of:
{2,4,6,8,10} and
{5,6,7,8,9,10}
{2,4,5,6,7,8,9,10}
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 130o. What bearing would it return on from B to A? 310o
A number is picked at random from the set
{1,2,3,4,5}
what is the probability it is even? \(\frac25\)
Evaluate:
56 ÷ 7 × 64 ÷ 8
64
Simplify the following by collecting like terms:
\(3n+7−2n+8\)
\(n+15\)
Divide 65 in the ratio
4:9
20 and 45
Draw a rough sketch of the graph of:
\(y=-x+2\)
Gradient -1
y intercept 2
Express the following number as the product of prime numbers:
60
2 x 2 x 3 x 5
In a sale an item costs £112 after a 30% reduction. What was the original price?
£160
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.
0.686868... \(\frac{68}{99}\)
Decrease £160 by 40%
£96
Expand:
\(5(2x-4)\)
\(10x-20\)
Expand:
\((2x+4)(x-4)\)
\(2x^2-4x-16\)
Factorise:
\(2x-8\)
\(2(x-4)\)
Factorise:
\(x^2+2x-8\)
\((x+4)(x-2)\)
Factorise:
\(5x^2+11x-12\)
\((x+3)(5x-4)\)
Which theorem?
Find the value of:
3.63 × 10-4
= 0.000363
Write in standard form:
680
= 6.8 × 102
Write in standard form:
0.00181
= 1.81 × 10-3
Find the nth term:
\(13, 22, 35, 52, 73, \)
\(2n^2+3n+8\)
Multiply 4 × 105
by 7 × 106 and give the answer in standard form.
= 2.8 × 1012
Solve:
\(x^2-2x-8= 0\)
\(x = 4\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2+2x-1 = 0\)
\(x = 0.366\) and \(-1.37\)
What is the size of each exterior angle of a regular hexagon?
60°
Make \(d\) the subject of the formula
$$e=\frac{2d-1}{3}$$
$$d=\frac{3e+1}{2}$$
Calculate the value of:
4522 ÷ 7
= 646
What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5
What is the square root of
4
2
What is the 9th prime number?
23
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: 7.77, 7.07, 7, 0.7, 7.7, 0.77, 0.07, in ascending order.
0.07, 0.7, 0.77, 7, 7.07, 7.7, 7.77,
Write down these lengths: 18mm, 17cm, 1.08m, 107cm, 1.8m, 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,
a = 48
j = 58
Round to one significant figure:
a) 43.85; 40
b) 505498; 500000
c) 96; 100
d) 0.00253; 0.003
Round each value to one significant figure to make an estimate:$$(192 + 6.8) \div 18$$\((200 + 7) \div 20 = 10.35\)
A pie chart shows the colours of 9 books. What sector angle represents the
2 red books?
80°
What is the equation?
\(y=0.5x-1.5\)A pie chart shows the colours of 15 hats. How many green hats are represented
by a sector
angle of 96°?
4
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