What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37
Find all the factors of:
34
1, 2, 17, 34.
Subtract the 7th from the 11th multiples of:
9
36
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) 75.65; 75.6
b) 255322; 255000
c) 33; 33.0
d) 0.003395; 0.00340
Find the area of a triangle that has a base of 6cm and a height of 9cm.
27cm2
Find the area of a trapezium that has a base of 17cm, a height of 6cm and a top (parallel to base) of 7cm. 72cm2
Evaluate:
\( \frac{2}{3} + \frac{6}{7}\) \(= 1\frac{11}{21}\)
Evaluate:
\( \frac{2}{4} × \frac{6}{7}\) \(= \frac{3}{7}\)
Evaluate:
\( \frac{2}{4} ÷ \frac{6}{5}\) \(= \frac{5}{12}\)
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.
\( \frac{4}{6}\) \(= 66.7\)%
Find the area of a circle that has a radius of 2cm. Give your answer to three significant figures.
12.6cm2
Find the circumference of a circle that has a radius of 8cm. Give your answer to three significant figures.
50.3cm
Calculate the value of:
6.9 + 7.9
= 14.8
Calculate the value of:
6.2 − 3.9
= 2.3
Calculate the value of:
6.8 × 6.4
= 43.52
Calculate the value of:
49.3 ÷ 17
= 2.9
What is the value of:
43
= 64
What is the value of:
\(5^{-2}\)
\(= \frac{1}{25}\)
Calculate the value of:
79 + 35
= 114
Calculate the value of:
63 − 27
= 36
Calculate the value of:
38 × 62
= 2356
Calculate the value of:
1600 ÷ 25
= 64
Find the value of:
15% of 200
= 30
Find the value of:
6.11 × 105
= 611000
Find the highest common factor of twenty eight and twenty.
= 4
4 × 5 = 20 | 5 × 5 = 25 |
6 × 2 = 12 | 3 × 4 = 12 |
8 × 5 = 40 | 9 × 4 = 36 |
7 × 4 = 28 | 2 × 2 = 4 |
5 × 12 = 60 | 4 × 5 = 20 |
6 × 9 = 54 | 9 × 12 = 108 |
3 × 12 = 36 | 8 × 9 = 72 |
7 × 3 = 21 | 2 × 12 = 24 |
8 × 2 = 16 | 9 × 2 = 18 |
7 × 2 = 14 | 6 × 2 = 12 |
5 × 2 = 10 | 3 × 2 = 6 |
4 × 2 = 8 | 2 × 2 = 4 |
6 × 3 = 18 | 7 × 3 = 21 |
9 × 3 = 27 | 8 × 3 = 24 |
4 × 3 = 12 | 5 × 3 = 15 |
3 × 3 = 9 | 2 × 3 = 6 |
8 × 4 = 32 | 9 × 4 = 36 |
7 × 4 = 28 | 4 × 4 = 16 |
5 × 4 = 20 | 6 × 4 = 24 |
3 × 4 = 12 | 2 × 4 = 8 |
3 × 5 = 15 | 8 × 5 = 40 |
5 × 5 = 25 | 9 × 5 = 45 |
4 × 5 = 20 | 6 × 5 = 30 |
7 × 5 = 35 | 2 × 5 = 10 |
7 × 6 = 42 | 9 × 6 = 54 |
3 × 6 = 18 | 8 × 6 = 48 |
4 × 6 = 24 | 6 × 6 = 36 |
5 × 6 = 30 | 2 × 6 = 12 |
7 × 7 = 49 | 5 × 7 = 35 |
3 × 7 = 21 | 6 × 7 = 42 |
4 × 7 = 28 | 8 × 7 = 56 |
9 × 7 = 63 | 2 × 7 = 14 |
3 × 8 = 24 | 7 × 8 = 56 |
6 × 8 = 48 | 8 × 8 = 64 |
4 × 8 = 32 | 9 × 8 = 72 |
5 × 8 = 40 | 2 × 8 = 16 |
7 × 9 = 63 | 9 × 9 = 81 |
4 × 9 = 36 | 8 × 9 = 72 |
5 × 9 = 45 | 6 × 9 = 54 |
3 × 9 = 27 | 2 × 9 = 18 |
3 × 12 = 36 | 4 × 12 = 48 |
7 × 12 = 84 | 5 × 12 = 60 |
6 × 12 = 72 | 8 × 12 = 96 |
9 × 12 = 108 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{32}{40}\) \(= \frac{4}{5}\)
Evaluate:
\( 1\frac{3}{4} − \frac{7}{8}\) \(= \frac{7}{8}\)
Find AC if AB = 4.8m and BC = 6.3m. 4.08m
Find angle BCA if AB = 3.7m and AC = 5.3m. 34.9o
Find AC if angle ABC = 29o and AB = 3.7m. 2.05m
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.
\( \frac{2}{4}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.74\) = \( \frac{37}{50}\)
Increase £100 by 15%
£115
What is the lowest common multiple of nine and fifteen.
= 45
5,17,29,41,53...
Find the:
a) next term; 65
b) nth term; 12n - 7
c) term number 35; 413
3,6,12,24,48...
Find the:
a) next term; 96
b) nth term; 3 × 2n-1
c) term number 12; 6144
If £160 is invested for 7 years with a simple interest rate of 4%, find the amount of interest earned. £44.80
If £240 is invested with an interest rate of 1% compounded annually, find the value of the investment after 5 years. £252.24
If £1 is worth $1.39, convert:
a) £120 to dollars; $166.80
b) $200 to pounds; £143.88
What are the coordinates of the midpoint of the line joining:
\((9,-3) \text{ and } (15,9)\)
(12,3)
What is the gradient of the line joining:
\((5,8) \text{ and } (11,12)\)
\(\frac{2}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,2),(7,6),(0,5)\)
(3,9)
a) 6 − 13 = -7
b) 6 × (-7) = -42
c) (11−23)(12−17) = 60
d) 42 ÷ (-7) = -6
e) (-8)2 = 64
If p = 5, q = 19 and
r = -8 evaluate:
a) 2q − p = 33
b) pq + r = 87
c) p2 − 5q - r = -62
Solve:
\(3x = 27\)
\(x = 9\)
Solve:
\(4x +9= 25\)
\(x = 4\)
Solve:
\(5x +2= 2x + 14\)
\(x = 4\)
Solve:
\(5(4x -3)+11= 56\)
\(x = 3\)
Solve:
\(3(3x + 5)= 2(4x + 5)\)
\(x = -5\)
Solve:
\(6x+3y = 27\)
\(5x+3y = 24\)
\(x = 3, y = 3\)
Solve:
\(2x+3y = 16\)
\(7x-12y = 11\)
\(x = 5, y = 2\)
Solve:
\(3x-3y = -19.5\)
\(7x-2y = -53\)
\(x = -8, y = -1.5\)
Find the union of:
{6,7,8,9,10} and
{3,6,9,12,15}
{3,6,7,8,9,10,12,15}
Find the intersection of:
{1,3,5,7,9} and
{6,7,8,9,10}
{7,9}
A plane flies from point A to point B on a bearing of 326o. What bearing would it return on from B to A? 146o
A number is picked at random from the set
{3,4,5,6,7,8}
what is the probability it is even? \(\frac12\)
Evaluate:
(12 − 3)2 + 8 × 8
145
Simplify the following by collecting like terms:
\(6m+7+5m+8\)
\(11m+15\)
Divide 65 in the ratio
7:6
35 and 30
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 £90 after a 25% 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.
0.212121... \(\frac{7}{33}\)
Decrease £60 by 35%
£39
Expand:
\(2(7x-6)\)
\(14x-12\)
Expand:
\((2x+2)(x-2)\)
\(2x^2-2x-4\)
Factorise:
\(4x-4\)
\(4(x-1)\)
Factorise:
\(x^2-x-12\)
\((x+3)(x-4)\)
Factorise:
\(5x^2+18x-8\)
\((x+4)(5x-2)\)
Which theorem?
Find the value of:
5.56 × 10-2
= 0.0556
Write in standard form:
69700
= 6.97 × 104
Write in standard form:
0.0000837
= 8.37 × 10-5
Find the nth term:
\(8, 13, 20, 29, 40, \)
\(n^2+2n+5\)
Multiply 7 × 104
by 8 × 105 and give the answer in standard form.
= 5.6 × 1010
Solve:
\(x^2+2x-8= 0\)
\(x = 2\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2-x-5 = 0\)
\(x = 1.47\) and \(-1.14\)
What is the size of each exterior angle of a regular heptagon?
51.4°
Make \(f\) the subject of the formula
$$h=g(e-f)$$
$$f=e-\frac{h}{g}$$
Calculate the value of:
1170 ÷ 2
= 585
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
What is the difference between the 6th and the 7th square numbers?
13
What is the difference between the 6th and the 7th prime numbers?
17 - 13 = 4
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: 0.4, 4.44, 4.04, 0.44, 4, 4.4, 0.04, in ascending order.
0.04, 0.4, 0.44, 4, 4.04, 4.4, 4.44,
Write down these lengths: 18mm, 107cm, 1.8m, 1.08m, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 200ml, 173ml, 21cl, 17cl, 18cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
f = 132
h = 75
Round to one significant figure:
a) 52.34; 50
b) 122657; 100000
c) 12; 10
d) 0.00271; 0.003
Round each value to one significant figure to make an estimate:$$2.9 \times 72 - 181$$\(3 \times 70 - 200 = 10\)
A pie chart shows the colours of 8 books. What sector angle represents the
3 red books?
135°
What is the equation?
\(y=0.5x-1.5\)A pie chart shows the colours of 60 hats. How many green hats are represented
by a sector
angle of 204°?
34
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