What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13
Find all the factors of:
27
1, 3, 9, 27.
Subtract the 7th from the 11th multiples of:
8
32
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) 53.45; 53.4
b) 564662; 565000
c) 0.003995; 0.00400
Find the area of a triangle that has a base of 3cm and a height of 7cm.
10.5cm2
Find the area of a trapezium that has a base of 12cm, a height of 8cm and a top (parallel to base) of 4cm. 64cm2
Evaluate:
\( \frac{2}{5} + \frac{7}{9}\) \(= 1\frac{8}{45}\)
Evaluate:
\( \frac{2}{3} × \frac{4}{6}\) \(= \frac{4}{9}\)
Evaluate:
\( \frac{3}{4} ÷ \frac{8}{6}\) \(= \frac{9}{16}\)
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 11cm. Give your answer to three significant figures.
380cm2
Find the circumference of a circle that has a radius of 7cm. Give your answer to three significant figures.
44.0cm
Calculate the value of:
2.8 + 7.8
= 10.6
Calculate the value of:
5.2 − 4.9
= 0.3
Calculate the value of:
6.9 × 8.2
= 56.58
Calculate the value of:
107.1 ÷ 17
= 6.3
What is the value of:
52
= 25
What is the value of:
\(9^{\frac{1}{2}}\)
\(= 3\)
Calculate the value of:
48 + 48
= 96
Calculate the value of:
63 − 28
= 35
Calculate the value of:
87 × 96
= 8352
Calculate the value of:
1425 ÷ 15
= 95
Find the value of:
75% of 320
= 240
Find the value of:
9.03 × 105
= 903000
Find the highest common factor of fourteen and four.
= 2
7 × 4 = 28 | 5 × 2 = 10 |
8 × 5 = 40 | 9 × 2 = 18 |
6 × 4 = 24 | 4 × 4 = 16 |
3 × 2 = 6 | 2 × 2 = 4 |
4 × 11 = 44 | 3 × 8 = 24 |
8 × 5 = 40 | 9 × 6 = 54 |
7 × 10 = 70 | 5 × 12 = 60 |
6 × 3 = 18 | 2 × 2 = 4 |
4 × 2 = 8 | 8 × 2 = 16 |
6 × 2 = 12 | 5 × 2 = 10 |
7 × 2 = 14 | 9 × 2 = 18 |
3 × 2 = 6 | 2 × 2 = 4 |
7 × 3 = 21 | 5 × 3 = 15 |
3 × 3 = 9 | 4 × 3 = 12 |
9 × 3 = 27 | 6 × 3 = 18 |
8 × 3 = 24 | 2 × 3 = 6 |
9 × 4 = 36 | 5 × 4 = 20 |
6 × 4 = 24 | 7 × 4 = 28 |
3 × 4 = 12 | 4 × 4 = 16 |
8 × 4 = 32 | 2 × 4 = 8 |
6 × 5 = 30 | 5 × 5 = 25 |
3 × 5 = 15 | 4 × 5 = 20 |
8 × 5 = 40 | 9 × 5 = 45 |
7 × 5 = 35 | 2 × 5 = 10 |
8 × 6 = 48 | 6 × 6 = 36 |
9 × 6 = 54 | 4 × 6 = 24 |
3 × 6 = 18 | 7 × 6 = 42 |
5 × 6 = 30 | 2 × 6 = 12 |
7 × 7 = 49 | 4 × 7 = 28 |
9 × 7 = 63 | 3 × 7 = 21 |
6 × 7 = 42 | 5 × 7 = 35 |
8 × 7 = 56 | 2 × 7 = 14 |
6 × 8 = 48 | 3 × 8 = 24 |
9 × 8 = 72 | 8 × 8 = 64 |
4 × 8 = 32 | 7 × 8 = 56 |
5 × 8 = 40 | 2 × 8 = 16 |
6 × 9 = 54 | 4 × 9 = 36 |
9 × 9 = 81 | 8 × 9 = 72 |
3 × 9 = 27 | 5 × 9 = 45 |
7 × 9 = 63 | 2 × 9 = 18 |
8 × 12 = 96 | 5 × 12 = 60 |
7 × 12 = 84 | 9 × 12 = 108 |
6 × 12 = 72 | 3 × 12 = 36 |
4 × 12 = 48 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{14}{35}\) \(= \frac{2}{5}\)
Evaluate:
\( 3\frac{4}{5} − \frac{8}{9}\) \(= 2\frac{41}{45}\)
Find AC if AB = 5.6m and BC = 6.7m. 3.68m
Find angle ABC if AC = 3.1m and AB = 4.4m. 35.2o
Find BC if angle BCA = 50o and AB = 3.2m. 4.18m
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.
\( \frac{2}{7}\) \(= 0.286\)
Convert this decimal to a fraction.
\(0.93\) = \( \frac{93}{100}\)
Increase £100 by 25%
£125
What is the lowest common multiple of sixteen and thirty two.
= 32
6,16,26,36,46...
Find the:
a) next term; 56
b) nth term; 10n - 4
c) term number 29; 286
4,8,16,32,64...
Find the:
a) next term; 128
b) nth term; 4 × 2n-1
c) term number 9; 1024
If £200 is invested for 7 years with a simple interest rate of 6%, find the amount of interest earned. £84.00
If £200 is invested with an interest rate of 3% compounded annually, find the value of the investment after 4 years. £225.10
If £1 is worth $1.5, convert:
a) £180 to dollars; $270.00
b) $100 to pounds; £66.67
What are the coordinates of the midpoint of the line joining:
\((6,2) \text{ and } (14,10)\)
(10,6)
What is the gradient of the line joining:
\((-6,3) \text{ and } (0,9)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((2,4),(8,8),(-2,10)\)
(4,14)
a) 9 − 21 = -12
b) 9 × (-5) = -45
c) (8−19)(6−18) = 132
d) 45 ÷ (-5) = -9
e) (-9)2 = 81
If p = 5, q = 27 and
r = -11 evaluate:
a) 2q − p = 49
b) pq + r = 124
c) p2 − 5q - r = -99
Solve:
\(4x = 36\)
\(x = 9\)
Solve:
\(5x -3= 32\)
\(x = 7\)
Solve:
\(9x +5= 6x + 26\)
\(x = 7\)
Solve:
\(4(2x +6)+8= 88\)
\(x = 7\)
Solve:
\(3(2x + 4)= 4(2x + 2)\)
\(x = 2\)
Solve:
\(3x-2y = 9\)
\(4x-2y = 16\)
\(x = 7, y = 6\)
Solve:
\(4x-4y = 8\)
\(6x+8y = 68\)
\(x = 6, y = 4\)
Solve:
\(3x-5y = -14\)
\(5x-3y = 6\)
\(x = 4.5, y = 5.5\)
Find the union of:
{1,3,5,7,9} and
{6,7,8,9,10}
{1,3,5,6,7,8,9,10}
Find the intersection of:
{2,4,6,8,10} and
{5,6,7,8,9,10}
{6,8,10}
A plane flies from point A to point B on a bearing of 038o. What bearing would it return on from B to A? 218o
A number is picked at random from the set
{2,4,6,8,10}
what is the probability it is even? 1
Evaluate:
30 ÷ 6 × 48 ÷ 6
40
Simplify the following by collecting like terms:
\(2y+2y^2-5y+y^2\)
\(3y^2-3y\)
Divide 96 in the ratio
3:5
36 and 60
Draw a rough sketch of the graph of:
\(y=-2x+1\)
Gradient -2
y intercept 1
Express the following number as the product of prime numbers:
36
2 x 2 x 3 x 3
In a sale an item costs £126 after a 10% reduction. What was the original price?
£140
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.
0.949494... \(\frac{94}{99}\)
Decrease £80 by 35%
£52
Expand:
\(8(6x-8)\)
\(48x-64\)
Expand:
\((x+3)(4x-4)\)
\(4x^2+8x-12\)
Factorise:
\(42x-48\)
\(6(7x-8)\)
Factorise:
\(x^2+x-2\)
\((x+2)(x-1)\)
Factorise:
\(8x^2-2x-1\)
\((4x+1)(2x-1)\)
Which theorem?
Find the value of:
9.11 × 10-2
= 0.0911
Write in standard form:
2960000
= 2.96 × 106
Write in standard form:
0.0618
= 6.18 × 10-2
Find the nth term:
\(0, 12, 28, 48, 72, \)
\(2n^2+6n-8\)
Multiply 7 × 106
by 6 × 103 and give the answer in standard form.
= 4.2 × 1010
Solve:
\(x^2-x-6= 0\)
\(x = 3\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2+2x-3 = 0\)
\(x = 0.651\) and \(-1.15\)
What is the size of each interior angle of a regular nonagon?
140°
Make \(k\) the subject of the formula
$$c=\frac{a(2+k)}{b}$$
$$k=\frac{bc}{a}-2$$
Calculate the value of:
1215 ÷ 3
= 405
What is the 8th:
a) Cube number; 512
b) Triangular number; 36
c) Fibonacci number. 21
What is the square of
11
121
What is the difference between the 9th and the 10th prime numbers?
29 - 23 = 6
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: 4.4, 0.44, 0.4, 4.04, 4, 4.44, 0.04, in ascending order.
0.04, 0.4, 0.44, 4, 4.04, 4.4, 4.44,
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: 18cl, 21cl, 17cl, 173ml, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
a = 48
b = 48
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