What is the 9th:
a) Odd number; 17
b) Square number; 81
c) Prime number. 23
Find all the factors of:
38
1, 2, 19, 38.
Subtract the 7th from the 11th multiples of:
4
16
What are the names of regular polygons with:
a) five sides;
b) six sides;
c) seven sides.
Pentagon, Hexagon and Heptagon (all regular)
Round the following numbers to three significant figures:
a) 30.93; 30.9
b) 148673; 149000
c) 0.001195; 0.00120
Find the area of a triangle that has a base of 3cm and a height of 8cm.
12cm^{2}
Find the area of a trapezium that has a base of 13cm, a height of 6cm and a top (parallel to base) of 7cm. 60cm^{2}
Evaluate:
\( \frac{1}{3} + \frac{4}{7}\) \(= \frac{19}{21}\)
Evaluate:
\( \frac{3}{5} × \frac{6}{7}\) \(= \frac{18}{35}\)
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.
\( \frac{1}{5}\) \(= 20\)%
Find the area of a circle that has a radius of 1cm. Give your answer to three significant figures.
3.14cm^{2}
Find the circumference of a circle that has a radius of 5cm. Give your answer to three significant figures.
31.4cm^{2}
Calculate the value of:
3.9 + 7.5
= 11.4
Calculate the value of:
7.1 − 4.9
= 2.2
Calculate the value of:
3.5 × 3.7
= 12.95
Calculate the value of:
102.4 ÷ 16
= 6.4
What is the value of:
2^{3}
= 8
What is the value of:
4^{1}
= 0.25
Calculate the value of:
98 + 86
= 184
Calculate the value of:
64 − 29
= 35
Calculate the value of:
37 × 99
= 3663
Calculate the value of:
1652 ÷ 28
= 59
Find the value of:
60% of 140
= 84
Find the value of:
4.1 × 10^{5}
= 410000
Find the highest common factor of eighteen and twelve.
= 6
4 × 4 = 16  6 × 3 = 18 
3 × 3 = 9  5 × 4 = 20 
7 × 4 = 28  9 × 3 = 27 
8 × 4 = 32  2 × 2 = 4 
8 × 8 = 64  3 × 4 = 12 
9 × 6 = 54  4 × 3 = 12 
7 × 3 = 21  5 × 4 = 20 
6 × 2 = 12  2 × 8 = 16 
5 × 2 = 10  8 × 2 = 16 
9 × 2 = 18  6 × 2 = 12 
3 × 2 = 6  4 × 2 = 8 
7 × 2 = 14  2 × 2 = 4 
8 × 3 = 24  6 × 3 = 18 
4 × 3 = 12  3 × 3 = 9 
5 × 3 = 15  7 × 3 = 21 
9 × 3 = 27  2 × 3 = 6 
6 × 4 = 24  7 × 4 = 28 
3 × 4 = 12  5 × 4 = 20 
4 × 4 = 16  9 × 4 = 36 
8 × 4 = 32  2 × 4 = 8 
8 × 5 = 40  4 × 5 = 20 
9 × 5 = 45  6 × 5 = 30 
5 × 5 = 25  3 × 5 = 15 
7 × 5 = 35  2 × 5 = 10 
4 × 6 = 24  3 × 6 = 18 
9 × 6 = 54  7 × 6 = 42 
8 × 6 = 48  5 × 6 = 30 
6 × 6 = 36  2 × 6 = 12 
7 × 7 = 49  3 × 7 = 21 
5 × 7 = 35  6 × 7 = 42 
4 × 7 = 28  9 × 7 = 63 
8 × 7 = 56  2 × 7 = 14 
5 × 8 = 40  8 × 8 = 64 
3 × 8 = 24  6 × 8 = 48 
4 × 8 = 32  9 × 8 = 72 
7 × 8 = 56  2 × 8 = 16 
8 × 9 = 72  3 × 9 = 27 
5 × 9 = 45  6 × 9 = 54 
7 × 9 = 63  4 × 9 = 36 
9 × 9 = 81  2 × 9 = 18 
8 × 12 = 96  9 × 12 = 108 
6 × 12 = 72  3 × 12 = 36 
5 × 12 = 60  4 × 12 = 48 
7 × 12 = 84  2 × 12 = 24 
Write this fraction in its simplest form:
\( \frac{9}{18}\) \(= \frac{1}{2}\)
Evaluate:
\( 1\frac{1}{2} − \frac{4}{5}\) \(= \frac{7}{10}\)
Find AB if AC = 5.2m and BC = 6.4m. 3.73m
Find angle BCA if AC = 4.3m and BC = 5.6m. 39.8^{o}
Find AC if angle BCA = 53^{o} and AB = 5.9m. 4.45m
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.
\( \frac{3}{7}\) \(= 0.429\)
Convert this decimal to a fraction.
\(0.48\) = \( \frac{12}{25}\)
Increase £180 by 40%
£252
What is the lowest common multiple of eight and twenty.
= 40
6,18,30,42,54...
Find the:
a) next term; 66
b) n^{th} term; 12n  6
c) term number 53; 630
6,18,54,162,486...
Find the:
a) next term; 1458
b) n^{th} term; 6 × 3^{n1}
c) term number 9; 39366
If £200 is invested for 8 years with a simple interest rate of 1%, find the amount of interest earned. £16.00
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 $1.56, convert:
a) £200 to dollars; $312.00
b) $220 to pounds; £141.03
What are the coordinates of the midpoint of the line joining:
\((1,1) \text{ and } (5,13)\)
(2,7)
What is the gradient of the line joining:
\((4,0) \text{ and } (9,4)\)
\(\frac{4}{5}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^{th}?
\((5,3),(10,6),(2,8)\)
(7,11)
a) 6 − 14 = 8
b) 6 × (12) = 72
c) (9−21)(9−16) = 84
d) 72 ÷ (12) = 6
e) (7)^{2} = 49
If p = 5, q = 20 and
r = 5 evaluate:
a) 2q − p = 35
b) pq + r = 95
c) p^{2} − 5q  r = 70
Solve:
\(4x = 28\)
\(x = 7\)
Solve:
\(5x 6= 39\)
\(x = 9\)
Solve:
\(7x 3= 6x + 1\)
\(x = 2\)
Solve:
\(2(3x +5)9= 49\)
\(x = 8\)
Solve:
\(3(3x + 5)= 2(4x + 5)\)
\(x = 5\)
Solve:
\(5x3y = 3\)
\(4x+3y = 24\)
\(x = 3, y = 4\)
Solve:
\(3x+3y = 27\)
\(3x12y = 18\)
\(x = 6, y = 3\)
Solve:
\(2x+6y = 63\)
\(6x+6y = 87\)
\(x = 6, y = 8.5\)
Find the union of:
{1,3,5,7,9} and
{3,4,5,6,7,8}
{1,3,4,5,6,7,8,9}
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 087^{o}. What bearing would it return on from B to A? 267^{o}
A number is picked at random from the set
{1,3,6,10,15}
what is the probability it is even? \(\frac25\)
Evaluate:
5 + 2 × 8 − 7
14
Simplify the following by collecting like terms:
\(3b+5c+8b+4c\)
\(11b+9c\)
Divide 80 in the ratio
1:9
8 and 72
Draw a rough sketch of the graph of:
\(y=x2\)
Gradient 1
y intercept 2
Express the following number as the product of prime numbers:
24
2 x 2 x 2 x 3
In a sale an item costs £108 after a 10% 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.
0.949494... \(\frac{94}{99}\)
Decrease £20 by 35%
£13
Expand:
\(5(7x8)\)
\(35x40\)
Expand:
\((x+2)(3x4)\)
\(3x^2+2x8\)
Factorise:
\(56x32\)
\(8(7x4)\)
Factorise:
\(x^2+x6\)
\((x+3)(x2)\)
Factorise:
\(3x^2+5x12\)
\((x+3)(3x4)\)
Which theorem?
Find the value of:
2.37 × 10^{3}
= 0.00237
Write in standard form:
8360
= 8.36 × 10^{3}
Write in standard form:
0.029
= 2.9 × 10^{2}
Find the n^{th} term:
\(1, 6, 15, 26, 39, \)
\(n^2+4n6\)
Multiply 6 × 10^{4}
by 7 × 10^{3} and give the answer in standard form.
= 4.2 × 10^{8}
Solve:
\(x^2x6= 0\)
\(x = 3\) and \(2\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+x3 = 0\)
\(x = 0.847\) and \(1.18\)
What is the size of each exterior angle of a regular pentagon?
72°
Make \(h\) the subject of the formula
$$e=\frac{h}{4}5$$
$$h=4(e+5)$$
Calculate the value of:
5264 ÷ 8
= 658
What is the 10th:
a) Cube number; 1000
b) Triangular number; 55
c) Fibonacci number. 55
What is the square of
11
121
What are the three largest prime numbers less than
41
37, 31, 29
Write down something you learnt in the previous mathematics lesson.
Write down something you learnt in one of the mathematics lessons last week.
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