What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29
Find all the factors of:
49
1, 7, 49.
Subtract the 4th from the 9th multiples of:
7
35
What are the names of regular polygons with:
a) five sides;
b) six sides;
c) seven sides.
Pentagon, Hexagon and Heptagon (all regular)
Round to three significant figures:
a) 60.07; 60.1
b) 435945; 436000
c) 97; 97.0
d) 0.009795; 0.00980
Find the area of a triangle that has a base of 5cm and a height of 9cm.
22.5cm2
Find the area of a trapezium that has a base of 13cm, a height of 12cm and a top (parallel to base) of 7cm. 120cm2
Evaluate:
\( \frac{2}{4} + \frac{6}{7}\) \(= 1\frac{5}{14}\)
Evaluate:
\( \frac{1}{3} × \frac{4}{5}\) \(= \frac{4}{15}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{6}{5}\) \(= \frac{5}{9}\)
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 12cm. Give your answer to three significant figures.
452cm2
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:
4.6 + 6.9
= 11.5
Calculate the value of:
6.2 − 1.6
= 4.6
Calculate the value of:
6.3 × 9.5
= 59.85
Calculate the value of:
186.2 ÷ 19
= 9.8
What is the value of:
33
= 27
What is the value of:
\(2^{-2}\)
\(= \frac{1}{4}\)
Calculate the value of:
79 + 36
= 115
Calculate the value of:
62 − 28
= 34
Calculate the value of:
97 × 55
= 5335
Calculate the value of:
1672 ÷ 19
= 88
Find the value of:
35% of 200
= 70
Find the value of:
5.17 × 103
= 5170
Find the highest common factor of forty and twenty.
= 20
7 × 3 = 21 | 4 × 5 = 20 |
6 × 3 = 18 | 5 × 3 = 15 |
9 × 3 = 27 | 8 × 2 = 16 |
3 × 2 = 6 | 2 × 2 = 4 |
7 × 5 = 35 | 5 × 3 = 15 |
6 × 12 = 72 | 9 × 3 = 27 |
3 × 12 = 36 | 8 × 10 = 80 |
4 × 11 = 44 | 2 × 11 = 22 |
7 × 2 = 14 | 6 × 2 = 12 |
3 × 2 = 6 | 5 × 2 = 10 |
4 × 2 = 8 | 8 × 2 = 16 |
9 × 2 = 18 | 2 × 2 = 4 |
3 × 3 = 9 | 8 × 3 = 24 |
4 × 3 = 12 | 7 × 3 = 21 |
9 × 3 = 27 | 6 × 3 = 18 |
5 × 3 = 15 | 2 × 3 = 6 |
7 × 4 = 28 | 5 × 4 = 20 |
4 × 4 = 16 | 9 × 4 = 36 |
3 × 4 = 12 | 8 × 4 = 32 |
6 × 4 = 24 | 2 × 4 = 8 |
5 × 5 = 25 | 9 × 5 = 45 |
4 × 5 = 20 | 8 × 5 = 40 |
3 × 5 = 15 | 7 × 5 = 35 |
6 × 5 = 30 | 2 × 5 = 10 |
3 × 6 = 18 | 6 × 6 = 36 |
7 × 6 = 42 | 8 × 6 = 48 |
4 × 6 = 24 | 5 × 6 = 30 |
9 × 6 = 54 | 2 × 6 = 12 |
5 × 7 = 35 | 8 × 7 = 56 |
4 × 7 = 28 | 7 × 7 = 49 |
3 × 7 = 21 | 6 × 7 = 42 |
9 × 7 = 63 | 2 × 7 = 14 |
7 × 8 = 56 | 4 × 8 = 32 |
9 × 8 = 72 | 6 × 8 = 48 |
5 × 8 = 40 | 8 × 8 = 64 |
3 × 8 = 24 | 2 × 8 = 16 |
5 × 9 = 45 | 9 × 9 = 81 |
6 × 9 = 54 | 8 × 9 = 72 |
4 × 9 = 36 | 3 × 9 = 27 |
7 × 9 = 63 | 2 × 9 = 18 |
5 × 12 = 60 | 9 × 12 = 108 |
8 × 12 = 96 | 3 × 12 = 36 |
6 × 12 = 72 | 7 × 12 = 84 |
4 × 12 = 48 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{32}{48}\) \(= \frac{2}{3}\)
Evaluate:
\( 1\frac{2}{3} − \frac{6}{7}\) \(= \frac{17}{21}\)
Find BC if AB = 3.7m and AC = 5.6m. 6.71m
Find angle BCA if AB = 3.3m and BC = 4.7m. 44.6o
Find AC if angle ABC = 32o and AB = 4.4m. 2.75m
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.
\( \frac{4}{5}\) \(= 0.8\)
Convert this decimal to a fraction.
\(0.45\) = \( \frac{9}{20}\)
Increase £100 by 30%
£130
What is the lowest common multiple of ten and thirty.
= 30
4,10,16,22,28...
Find the:
a) next term; 34
b) nth term; 6n - 2
c) term number 38; 226
7,28,112,448,1792...
Find the:
a) next term; 7168
b) nth term; 7 × 4n-1
c) term number 9; 458752
If £140 is invested for 7 years with a simple interest rate of 1%, find the amount of interest earned. £9.80
If £180 is invested with an interest rate of 3% compounded annually, find the value of the investment after 8 years. £228.02
If £1 is worth $1.39, convert:
a) £240 to dollars; $333.60
b) $140 to pounds; £100.72
What are the coordinates of the midpoint of the line joining:
\((-9,9) \text{ and } (3,17)\)
(-3,13)
What is the gradient of the line joining:
\((2,-1) \text{ and } (6,3)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((3,1),(6,6),(-2,4)\)
(1,9)
a) 5 − 11 = -6
b) 5 × (-6) = -30
c) (9−19)(7−16) = 90
d) 30 ÷ (-6) = -5
e) (-10)2 = 100
If p = 6, q = 17 and
r = -9 evaluate:
a) 2q − p = 28
b) pq + r = 93
c) p2 − 5q - r = -40
Solve:
\(5x = 10\)
\(x = 2\)
Solve:
\(3x -9= 6\)
\(x = 5\)
Solve:
\(7x -3= 2x + 32\)
\(x = 7\)
Solve:
\(5(2x +2)+9= 79\)
\(x = 6\)
Solve:
\(5(3x + 3)= 4(4x + 3)\)
\(x = 3\)
Solve:
\(6x+3y = 51\)
\(5x+3y = 46\)
\(x = 5, y = 7\)
Solve:
\(4x+3y = 28\)
\(7x-9y = -8\)
\(x = 4, y = 4\)
Solve:
\(2x-2y = 29\)
\(3x+5y = -32.5\)
\(x = 5, y = -9.5\)
Find the union of:
{5,6,7,8,9,10} and
{1,3,6,10,15}
{1,3,5,6,7,8,9,10,15}
Find the intersection of:
{6,7,8,9,10} and
{2,6,12}
{6}
A plane flies from point A to point B on a bearing of 093o. What bearing would it return on from B to A? 273o
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 + 3 × 2
150
Simplify the following by collecting like terms:
\(3a+5b-3a+4b^2\)
\(5b+4b^2\)
Divide 55 in the ratio
9:2
45 and 10
Draw a rough sketch of the graph of:
\(2y=x+4\)
Gradient 0.5
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 £70 after a 30% reduction. What was the original price?
£100
Find the mean, mode, median and range of the following:
1,3,5,7,9
Mean = 5, no mode,
median = 5 and range = 8
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.626262... \(\frac{62}{99}\)
Decrease £180 by 5%
£171
Expand:
\(9(6x-6)\)
\(54x-54\)
Expand:
\((x+4)(x-2)\)
\(x^2+2x-8\)
Factorise:
\(32x-12\)
\(4(8x-3)\)
Factorise:
\(x^2-2x-3\)
\((x+1)(x-3)\)
Factorise:
\(2x^2-7x-4\)
\((2x+1)(x-4)\)
Which theorem?
Find the value of:
1.2 × 10-3
= 0.0012
Write in standard form:
132000
= 1.32 × 105
Write in standard form:
0.0000224
= 2.24 × 10-5
Find the nth term:
\(15, 25, 39, 57, 79, \)
\(2n^2+4n+9\)
Multiply 5 × 102
by 9 × 104 and give the answer in standard form.
= 4.5 × 107
Solve:
\(x^2-2x-15= 0\)
\(x = 5\) and \(-3\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2+2x-5 = 0\)
\(x = 1.16\) and \(-2.16\)
What is the size of each exterior angle of a regular nonagon?
40°
Make \(j\) the subject of the formula
$$b=\frac{3(j-4)}{c}$$
$$j=\frac{bc}{3}+4$$
Calculate the value of:
2190 ÷ 5
= 438
What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8
What are the three largest square numbers less than
100
81, 64, 49
What is the 4th prime number?
7
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: 9.99, 0.9, 0.99, 9.09, 9, 9.9, 0.09, in ascending order.
0.09, 0.9, 0.99, 9, 9.09, 9.9, 9.99,
Write down these lengths: 1.08m, 17cm, 107cm, 1.8m, 18mm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 200ml, 21cl, 173ml, 18cl, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
i = 54
i = 97
Round to one significant figure:
a) 47.37; 50
b) 152975; 200000
c) 80; 80
d) 0.00842; 0.008
Round each value to one significant figure to make an estimate:$$63 + 3.9 \times 82$$\(60 + 4 \times 80 = 380\)
A pie chart shows the colours of 30 books. What sector angle represents the
2 red books?
24°
What is the equation?
\(y=0.5x\)A pie chart shows the colours of 40 hats. How many green hats are represented
by a sector
angle of 207°?
23
Simplify:
$$\sqrt{18}$$
\(3\sqrt{2}\)
Simplify:
$$\dfrac{4}{5\sqrt{3}}$$\(\dfrac{4\sqrt{3}}{15}\)
Simplify:
$$\dfrac{5}{3 - \sqrt{2}}$$\(\frac{15 + 5\sqrt{2}}{7}\)
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