What is the 11th:
a) Odd number; 21
b) Square number; 121
c) Prime number. 31
Find all the factors of:
25
1, 5, 25.
Subtract the 6th from the 11th multiples of:
3
15
What are the names of regular polygons with:
a) four sides;
b) five sides;
c) six sides.
Square, Pentagon and Hexagon (all regular)
Round to three significant figures:
a) 47.87; 47.9
b) 450377; 450000
c) 59; 59.0
d) 0.005995; 0.00600
Find the area of a triangle that has a base of 7cm and a height of 12cm.
42cm2
Find the area of a trapezium that has a base of 14cm, a height of 9cm and a top (parallel to base) of 6cm. 90cm2
Evaluate:
\( \frac{1}{2} + \frac{4}{5}\) \(= 1\frac{3}{10}\)
Evaluate:
\( \frac{3}{4} × \frac{6}{7}\) \(= \frac{9}{14}\)
Evaluate:
\( \frac{1}{3} ÷ \frac{5}{4}\) \(= \frac{4}{15}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{3}{6}\) \(= 50\)%
Find the area of a circle that has a radius of 5cm. Give your answer to three significant figures.
78.5cm2
Find the circumference of a circle that has a radius of 9cm. Give your answer to three significant figures.
56.5cm
Calculate the value of:
4.6 + 8.6
= 13.2
Calculate the value of:
6.1 − 2.7
= 3.4
Calculate the value of:
4.9 × 2.3
= 11.27
Calculate the value of:
59.8 ÷ 13
= 4.6
What is the value of:
52
= 25
What is the value of:
\(3^{-1}\)
\(= \frac{1}{3}\)
Calculate the value of:
39 + 69
= 108
Calculate the value of:
64 − 25
= 39
Calculate the value of:
93 × 22
= 2046
Calculate the value of:
1755 ÷ 27
= 65
Find the value of:
50% of 280
= 140
Find the value of:
1.15 × 103
= 1150
Find the highest common factor of thirty five and twenty five.
= 5
8 × 2 = 16 | 3 × 2 = 6 |
6 × 3 = 18 | 7 × 4 = 28 |
9 × 3 = 27 | 5 × 5 = 25 |
4 × 2 = 8 | 2 × 3 = 6 |
3 × 6 = 18 | 6 × 12 = 72 |
7 × 4 = 28 | 8 × 6 = 48 |
9 × 9 = 81 | 4 × 10 = 40 |
5 × 5 = 25 | 2 × 9 = 18 |
7 × 2 = 14 | 6 × 2 = 12 |
8 × 2 = 16 | 9 × 2 = 18 |
3 × 2 = 6 | 4 × 2 = 8 |
5 × 2 = 10 | 2 × 2 = 4 |
3 × 3 = 9 | 7 × 3 = 21 |
4 × 3 = 12 | 8 × 3 = 24 |
9 × 3 = 27 | 6 × 3 = 18 |
5 × 3 = 15 | 2 × 3 = 6 |
9 × 4 = 36 | 7 × 4 = 28 |
8 × 4 = 32 | 5 × 4 = 20 |
3 × 4 = 12 | 6 × 4 = 24 |
4 × 4 = 16 | 2 × 4 = 8 |
9 × 5 = 45 | 8 × 5 = 40 |
5 × 5 = 25 | 6 × 5 = 30 |
4 × 5 = 20 | 7 × 5 = 35 |
3 × 5 = 15 | 2 × 5 = 10 |
3 × 6 = 18 | 7 × 6 = 42 |
9 × 6 = 54 | 5 × 6 = 30 |
4 × 6 = 24 | 8 × 6 = 48 |
6 × 6 = 36 | 2 × 6 = 12 |
9 × 7 = 63 | 5 × 7 = 35 |
4 × 7 = 28 | 3 × 7 = 21 |
7 × 7 = 49 | 6 × 7 = 42 |
8 × 7 = 56 | 2 × 7 = 14 |
9 × 8 = 72 | 6 × 8 = 48 |
3 × 8 = 24 | 7 × 8 = 56 |
5 × 8 = 40 | 8 × 8 = 64 |
4 × 8 = 32 | 2 × 8 = 16 |
5 × 9 = 45 | 6 × 9 = 54 |
4 × 9 = 36 | 9 × 9 = 81 |
7 × 9 = 63 | 3 × 9 = 27 |
8 × 9 = 72 | 2 × 9 = 18 |
5 × 12 = 60 | 7 × 12 = 84 |
4 × 12 = 48 | 6 × 12 = 72 |
8 × 12 = 96 | 9 × 12 = 108 |
3 × 12 = 36 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{36}{54}\) \(= \frac{2}{3}\)
Evaluate:
\( 2\frac{3}{4} − \frac{6}{7}\) \(= 1\frac{25}{28}\)
Find AB if AC = 4.2m and BC = 5.6m. 3.70m
Find angle BCA if AB = 4.7m and AC = 5.9m. 38.5o
Find BC if angle BCA = 68o and AB = 5.9m. 6.36m
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.
\( \frac{4}{8}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.78\) = \( \frac{39}{50}\)
Increase £160 by 35%
£216
What is the lowest common multiple of four and ten.
= 20
7,21,35,49,63...
Find the:
a) next term; 77
b) nth term; 14n - 7
c) term number 47; 651
7,28,112,448,1792...
Find the:
a) next term; 7168
b) nth term; 7 × 4n-1
c) term number 11; 7340032
If £180 is invested for 7 years with a simple interest rate of 2%, find the amount of interest earned. £25.20
If £140 is invested with an interest rate of 5% compounded annually, find the value of the investment after 8 years. £206.84
If £1 is worth $1.32, convert:
a) £180 to dollars; $237.60
b) $160 to pounds; £121.21
What are the coordinates of the midpoint of the line joining:
\((8,-3) \text{ and } (16,7)\)
(12,2)
What is the gradient of the line joining:
\((-8,-8) \text{ and } (-2,-5)\)
\(\frac{1}{2}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((2,4),(5,7),(-1,7)\)
(2,10)
a) 9 − 20 = -11
b) 9 × (-11) = -99
c) (11−20)(11−23) = 108
d) 99 ÷ (-11) = -9
e) (-10)2 = 100
If p = 5, q = 26 and
r = -6 evaluate:
a) 2q − p = 47
b) pq + r = 124
c) p2 − 5q - r = -99
Solve:
\(5x = 15\)
\(x = 3\)
Solve:
\(3x -3= 9\)
\(x = 4\)
Solve:
\(10x -5= 6x + 11\)
\(x = 4\)
Solve:
\(5(3x +5)+11= 81\)
\(x = 3\)
Solve:
\(4(2x + 5)= 3(3x + 3)\)
\(x = 11\)
Solve:
\(2x+3y = 22\)
\(3x-3y = -12\)
\(x = 2, y = 6\)
Solve:
\(2x-3y = -2\)
\(7x-12y = -13\)
\(x = 5, y = 4\)
Solve:
\(3x+7y = -6\)
\(5x+2y = 19\)
\(x = 5, y = -3\)
Find the union of:
{5,6,7,8,9,10} and
{2,6,12}
{2,5,6,7,8,9,10,12}
Find the intersection of:
{1,2,3,4,5} and
{6,7,8,9,10}
∅
A plane flies from point A to point B on a bearing of 358o. What bearing would it return on from B to A? 178o
A number is picked at random from the set
{2,6,12}
what is the probability it is even? 1
Evaluate:
6 + (3 × 22 − 5)
13
Simplify the following by collecting like terms:
\(b+4c-7b+4c\)
\(8c-6b\)
Divide 165 in the ratio
7:8
77 and 88
Draw a rough sketch of the graph of:
\(y=-2x+2\)
Gradient -2
y intercept 2
Express the following number as the product of prime numbers:
180
2 x 2 x 3 x 3 x 5
In a sale an item costs £105 after a 25% reduction. What was the original price?
£140
Find the mean, mode, median and range of the following:
6,7,8,9,10
Mean = 8, no mode,
median = 8 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.959595... \(\frac{95}{99}\)
Decrease £140 by 25%
£105
Expand:
\(4(8x-5)\)
\(32x-20\)
Expand:
\((3x+2)(3x-1)\)
\(9x^2+3x-2\)
Factorise:
\(8x-4\)
\(4(2x-1)\)
Factorise:
\(x^2-16\)
\((x+4)(x-4)\)
Factorise:
\(5x^2+17x-12\)
\((x+4)(5x-3)\)
Which theorem?
Find the value of:
4.21 × 10-2
= 0.0421
Write in standard form:
40300
= 4.03 × 104
Write in standard form:
0.000222
= 2.22 × 10-4
Find the nth term:
\(2, 12, 26, 44, 66, \)
\(2n^2+4n-4\)
Multiply 9 × 102
by 6 × 102 and give the answer in standard form.
= 5.4 × 105
Solve:
\(x^2-x-6= 0\)
\(x = 3\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2+5x-5 = 0\)
\(x = 0.766\) and \(-3.27\)
What is the size of each interior angle of a regular octagon?
135°
Make \(f\) the subject of the formula
$$h=g(e-f)$$
$$f=e-\frac{h}{g}$$
Calculate the value of:
3752 ÷ 4
= 938
What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13
What is the square root of
16
4
What are the next three prime numbers after
31
37, 41, 43
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: 2.02, 0.22, 0.2, 2.22, 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, 1.08m, 17cm, 107cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 18cl, 21cl, 17cl, 173ml, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
d = 99
d = 91
Round to one significant figure:
a) 64.35; 60
b) 434977; 400000
c) 24; 20
d) 0.00413; 0.004
Round each value to one significant figure to make an estimate:$$92 + 4.7 \times 51$$\(90 + 5 \times 50 = 340\)
A pie chart shows the colours of 120 books. What sector angle represents the
101 red books?
303°
What is the equation?
\(y=5-x\)A pie chart shows the colours of 9 hats. How many green hats are represented
by a sector
angle of 280°?
7
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