What is the 11th:
a) Odd number; 21
b) Square number; 121
c) Prime number. 31
Find all the factors of:
42
1, 2, 3, 6, 7, 14, 21, 42.
Subtract the 6th from the 11th multiples of:
10
50
What are the names of regular polygons with:
a) three sides;
b) four sides;
c) five sides.
Equilateral Triangle, Square and Pentagon (all regular)
Round to three significant figures:
a) 85.18; 85.2
b) 274772; 275000
c) 19; 19.0
d) 0.001995; 0.00200
Find the area of a triangle that has a base of 4cm and a height of 9cm.
18cm2
Find the area of a trapezium that has a base of 15cm, a height of 11cm and a top (parallel to base) of 7cm. 121cm2
Evaluate:
\( \frac{1}{2} + \frac{3}{4}\) \(= 1\frac{1}{4}\)
Evaluate:
\( \frac{1}{2} × \frac{3}{5}\) \(= \frac{3}{10}\)
Evaluate:
\( \frac{1}{3} ÷ \frac{6}{5}\) \(= \frac{5}{18}\)
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 12cm. Give your answer to three significant figures.
452cm2
Find the circumference of a circle that has a radius of 5cm. Give your answer to three significant figures.
31.4cm
Calculate the value of:
3.5 + 2.7
= 6.2
Calculate the value of:
9.3 − 1.7
= 7.6
Calculate the value of:
8.6 × 6.2
= 53.32
Calculate the value of:
66.5 ÷ 19
= 3.5
What is the value of:
13
= 1
What is the value of:
\(2^{-1}\)
\(= \frac{1}{2}\)
Calculate the value of:
37 + 75
= 112
Calculate the value of:
63 − 26
= 37
Calculate the value of:
65 × 82
= 5330
Calculate the value of:
1406 ÷ 19
= 74
Find the value of:
85% of 360
= 306
Find the value of:
3.59 × 103
= 3590
Find the highest common factor of thirty two and eight.
= 8
9 × 5 = 45 | 3 × 4 = 12 |
7 × 5 = 35 | 6 × 2 = 12 |
4 × 3 = 12 | 8 × 2 = 16 |
5 × 5 = 25 | 2 × 5 = 10 |
3 × 3 = 9 | 6 × 9 = 54 |
5 × 7 = 35 | 7 × 10 = 70 |
4 × 7 = 28 | 8 × 8 = 64 |
9 × 8 = 72 | 2 × 2 = 4 |
8 × 2 = 16 | 6 × 2 = 12 |
5 × 2 = 10 | 4 × 2 = 8 |
3 × 2 = 6 | 7 × 2 = 14 |
9 × 2 = 18 | 2 × 2 = 4 |
9 × 3 = 27 | 4 × 3 = 12 |
7 × 3 = 21 | 5 × 3 = 15 |
6 × 3 = 18 | 8 × 3 = 24 |
3 × 3 = 9 | 2 × 3 = 6 |
3 × 4 = 12 | 6 × 4 = 24 |
4 × 4 = 16 | 9 × 4 = 36 |
7 × 4 = 28 | 8 × 4 = 32 |
5 × 4 = 20 | 2 × 4 = 8 |
8 × 5 = 40 | 4 × 5 = 20 |
7 × 5 = 35 | 5 × 5 = 25 |
3 × 5 = 15 | 9 × 5 = 45 |
6 × 5 = 30 | 2 × 5 = 10 |
5 × 6 = 30 | 4 × 6 = 24 |
9 × 6 = 54 | 7 × 6 = 42 |
8 × 6 = 48 | 3 × 6 = 18 |
6 × 6 = 36 | 2 × 6 = 12 |
9 × 7 = 63 | 4 × 7 = 28 |
8 × 7 = 56 | 5 × 7 = 35 |
3 × 7 = 21 | 6 × 7 = 42 |
7 × 7 = 49 | 2 × 7 = 14 |
5 × 8 = 40 | 6 × 8 = 48 |
4 × 8 = 32 | 3 × 8 = 24 |
7 × 8 = 56 | 9 × 8 = 72 |
8 × 8 = 64 | 2 × 8 = 16 |
7 × 9 = 63 | 9 × 9 = 81 |
3 × 9 = 27 | 6 × 9 = 54 |
8 × 9 = 72 | 4 × 9 = 36 |
5 × 9 = 45 | 2 × 9 = 18 |
3 × 12 = 36 | 7 × 12 = 84 |
6 × 12 = 72 | 9 × 12 = 108 |
4 × 12 = 48 | 5 × 12 = 60 |
8 × 12 = 96 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{10}{25}\) \(= \frac{2}{5}\)
Evaluate:
\( 1\frac{3}{4} − \frac{6}{7}\) \(= \frac{25}{28}\)
Find AC if AB = 4.5m and BC = 6.1m. 4.12m
Find angle ABC if AC = 4.4m and BC = 5.5m. 53.1o
Find AB if angle ABC = 29o and BC = 5.5m. 4.81m
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.
\( \frac{1}{5}\) \(= 0.2\)
Convert this decimal to a fraction.
\(0.54\) = \( \frac{27}{50}\)
Increase £100 by 45%
£145
What is the lowest common multiple of fifteen and forty.
= 120
3,13,23,33,43...
Find the:
a) next term; 53
b) nth term; 10n - 7
c) term number 55; 543
4,8,16,32,64...
Find the:
a) next term; 128
b) nth term; 4 × 2n-1
c) term number 8; 512
If £100 is invested for 7 years with a simple interest rate of 1%, find the amount of interest earned. £7.00
If £240 is invested with an interest rate of 4% compounded annually, find the value of the investment after 4 years. £280.77
If £1 is worth $1.35, convert:
a) £100 to dollars; $135.00
b) $180 to pounds; £133.33
What are the coordinates of the midpoint of the line joining:
\((4,8) \text{ and } (10,14)\)
(7,11)
What is the gradient of the line joining:
\((-9,-3) \text{ and } (-3,0)\)
\(\frac{1}{2}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,5),(8,10),(-1,9)\)
(3,14)
a) 12 − 18 = -6
b) 12 × (-10) = -120
c) (12−24)(11−18) = 84
d) 120 ÷ (-10) = -12
e) (-9)2 = 81
If p = 6, q = 24 and
r = -11 evaluate:
a) 2q − p = 42
b) pq + r = 133
c) p2 − 5q - r = -73
Solve:
\(5x = 35\)
\(x = 7\)
Solve:
\(4x +6= 38\)
\(x = 8\)
Solve:
\(9x +4= 4x + 44\)
\(x = 8\)
Solve:
\(4(2x +2)+12= 92\)
\(x = 9\)
Solve:
\(3(4x + 5)= 4(5x + 5)\)
\(x = -0.625\)
Solve:
\(4x+4y = 40\)
\(2x+4y = 28\)
\(x = 6, y = 4\)
Solve:
\(3x+4y = 31\)
\(5x+8y = 57\)
\(x = 5, y = 4\)
Solve:
\(3x-7y = -28\)
\(5x+2y = 49\)
\(x = 7, y = 7\)
Find the union of:
{5,6,7,8,9,10} and
{3,6,9,12,15}
{3,5,6,7,8,9,10,12,15}
Find the intersection of:
{6,7,8,9,10} and
{1,3,6,10,15}
{6,10}
A plane flies from point A to point B on a bearing of 025o. What bearing would it return on from B to A? 205o
A number is picked at random from the set
{1,2,3,4,5}
what is the probability it is even? \(\frac25\)
Evaluate:
(17 − 5)2 + 7 × 4
172
Simplify the following by collecting like terms:
\(2y+2y^2-5y+y^2\)
\(3y^2-3y\)
Divide 195 in the ratio
8:5
120 and 75
Draw a rough sketch of the graph of:
\(y=-2x\)
Gradient -2
y intercept 0
Express the following number as the product of prime numbers:
12
2 x 2 x 3
In a sale an item costs £80 after a 20% reduction. What was the original price?
£100
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.
0.767676... \(\frac{76}{99}\)
Decrease £140 by 5%
£133
Expand:
\(3(9x-4)\)
\(27x-12\)
Expand:
\((4x+4)(2x-2)\)
\(8x^2-8\)
Factorise:
\(8x-8\)
\(8(x-1)\)
Factorise:
\(x^2-x-2\)
\((x+1)(x-2)\)
Factorise:
\(15x^2+2x-1\)
\((3x+1)(5x-1)\)
Which theorem?
Find the value of:
7.7 × 10-2
= 0.077
Write in standard form:
906000
= 9.06 × 105
Write in standard form:
0.0000548
= 5.48 × 10-5
Find the nth term:
\(6, 14, 26, 42, 62, \)
\(2n^2+2n+2\)
Multiply 8 × 102
by 8 × 104 and give the answer in standard form.
= 6.4 × 107
Solve:
\(x^2-3x-10= 0\)
\(x = 5\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2+3x-3 = 0\)
\(x = 0.531\) and \(-1.13\)
What is the size of each exterior angle of a regular octagon?
45°
Make \(h\) the subject of the formula
$$e=\frac{h}{4}-5$$
$$h=4(e+5)$$
Calculate the value of:
1557 ÷ 3
= 519
What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8
What are the next three square numbers after
25
36, 49, 64
What are the next three prime numbers after
47
53, 59, 61
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: 3.33, 3, 0.33, 3.3, 3.03, 0.3, 0.03, in ascending order.
0.03, 0.3, 0.33, 3, 3.03, 3.3, 3.33,
Write down these lengths: 107cm, 18mm, 1.08m, 1.8m, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 18cl, 17cl, 200ml, 173ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
a = 48
b = 48
Round to one significant figure:
a) 44.97; 40
b) 400353; 400000
c) 53; 50
d) 0.00603; 0.006
Round each value to one significant figure to make an estimate:$$(163 + 9.6) \div 16$$\((200 + 10) \div 20 = 10.5\)
A pie chart shows the colours of 12 books. What sector angle represents the
4 red books?
120°
What is the equation?
\(y=2-x\)A pie chart shows the colours of 72 hats. How many green hats are represented
by a sector
angle of 205°?
41
Topics: Starter | Algebra | Arithmetic | Circles | Coordinates | Fractions | Mental Methods | Mixed | Money | Sets | Simultaneous Equations | Tables | Trigonometry
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