What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13
Find all the factors of:
31
1, 31.
Subtract the 5th from the 10th multiples of:
8
40
What are the names of regular polygons with:
a) six sides;
b) seven sides;
c) eight sides.
Hexagon, Heptagon and Octagon (all regular)
Round to three significant figures:
a) 41.33; 41.3
b) 944233; 944000
c) 60; 60.0
d) 0.006095; 0.00610
Find the area of a triangle that has a base of 7cm and a height of 10cm.
35cm2
Find the area of a trapezium that has a base of 11cm, a height of 12cm and a top (parallel to base) of 3cm. 84cm2
Evaluate:
\( \frac{3}{4} + \frac{6}{9}\) \(= 1\frac{5}{12}\)
Evaluate:
\( \frac{1}{3} × \frac{5}{7}\) \(= \frac{5}{21}\)
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 to 3 significant figures.
\( \frac{4}{7}\) \(= 57.1\)%
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 1cm. Give your answer to three significant figures.
6.28cm
Calculate the value of:
8.9 + 2.8
= 11.7
Calculate the value of:
6.3 − 4.8
= 1.5
Calculate the value of:
2.7 × 5.8
= 15.66
Calculate the value of:
68.4 ÷ 18
= 3.8
What is the value of:
22
= 4
What is the value of:
\(4^{\frac{1}{2}}\)
\(= 2\)
Calculate the value of:
66 + 36
= 102
Calculate the value of:
72 − 28
= 44
Calculate the value of:
86 × 67
= 5762
Calculate the value of:
1428 ÷ 17
= 84
Find the value of:
25% of 280
= 70
Find the value of:
2.16 × 104
= 21600
Find the highest common factor of thirty and twenty five.
= 5
3 × 5 = 15 | 7 × 5 = 35 |
5 × 5 = 25 | 6 × 3 = 18 |
9 × 5 = 45 | 4 × 3 = 12 |
8 × 5 = 40 | 2 × 2 = 4 |
6 × 8 = 48 | 7 × 10 = 70 |
3 × 3 = 9 | 5 × 12 = 60 |
8 × 10 = 80 | 9 × 6 = 54 |
4 × 6 = 24 | 2 × 3 = 6 |
8 × 2 = 16 | 9 × 2 = 18 |
5 × 2 = 10 | 7 × 2 = 14 |
4 × 2 = 8 | 3 × 2 = 6 |
6 × 2 = 12 | 2 × 2 = 4 |
3 × 3 = 9 | 9 × 3 = 27 |
5 × 3 = 15 | 6 × 3 = 18 |
8 × 3 = 24 | 7 × 3 = 21 |
4 × 3 = 12 | 2 × 3 = 6 |
3 × 4 = 12 | 9 × 4 = 36 |
7 × 4 = 28 | 8 × 4 = 32 |
6 × 4 = 24 | 5 × 4 = 20 |
4 × 4 = 16 | 2 × 4 = 8 |
4 × 5 = 20 | 6 × 5 = 30 |
3 × 5 = 15 | 9 × 5 = 45 |
7 × 5 = 35 | 8 × 5 = 40 |
5 × 5 = 25 | 2 × 5 = 10 |
7 × 6 = 42 | 6 × 6 = 36 |
4 × 6 = 24 | 5 × 6 = 30 |
8 × 6 = 48 | 9 × 6 = 54 |
3 × 6 = 18 | 2 × 6 = 12 |
8 × 7 = 56 | 3 × 7 = 21 |
9 × 7 = 63 | 7 × 7 = 49 |
6 × 7 = 42 | 4 × 7 = 28 |
5 × 7 = 35 | 2 × 7 = 14 |
6 × 8 = 48 | 7 × 8 = 56 |
5 × 8 = 40 | 8 × 8 = 64 |
9 × 8 = 72 | 4 × 8 = 32 |
3 × 8 = 24 | 2 × 8 = 16 |
5 × 9 = 45 | 7 × 9 = 63 |
3 × 9 = 27 | 8 × 9 = 72 |
4 × 9 = 36 | 6 × 9 = 54 |
9 × 9 = 81 | 2 × 9 = 18 |
4 × 12 = 48 | 7 × 12 = 84 |
8 × 12 = 96 | 3 × 12 = 36 |
9 × 12 = 108 | 6 × 12 = 72 |
5 × 12 = 60 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{18}{45}\) \(= \frac{2}{5}\)
Evaluate:
\( 3\frac{2}{3} − \frac{4}{5}\) \(= 2\frac{13}{15}\)
Find BC if AB = 3.2m and AC = 4.3m. 5.36m
Find angle ABC if AB = 3.3m and BC = 4.3m. 39.9o
Find BC if angle BCA = 40o and AB = 4.6m. 7.16m
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.
\( \frac{3}{7}\) \(= 0.429\)
Convert this decimal to a fraction.
\(0.36\) = \( \frac{9}{25}\)
Increase £60 by 30%
£78
What is the lowest common multiple of eight and twelve.
= 24
7,21,35,49,63...
Find the:
a) next term; 77
b) nth term; 14n - 7
c) term number 44; 609
4,8,16,32,64...
Find the:
a) next term; 128
b) nth term; 4 × 2n-1
c) term number 11; 4096
If £180 is invested for 5 years with a simple interest rate of 2%, find the amount of interest earned. £18.00
If £160 is invested with an interest rate of 2% compounded annually, find the value of the investment after 8 years. £187.47
If £1 is worth $1.28, convert:
a) £160 to dollars; $204.80
b) $120 to pounds; £93.75
What are the coordinates of the midpoint of the line joining:
\((7,6) \text{ and } (15,14)\)
(11,10)
What is the gradient of the line joining:
\((6,5) \text{ and } (12,8)\)
\(\frac{1}{2}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,3),(10,7),(1,8)\)
(6,12)
a) 7 − 12 = -5
b) 7 × (-9) = -63
c) (5−16)(7−17) = 110
d) 63 ÷ (-9) = -7
e) (-11)2 = 121
If p = 6, q = 18 and
r = -5 evaluate:
a) 2q − p = 30
b) pq + r = 103
c) p2 − 5q - r = -49
Solve:
\(2x = 8\)
\(x = 4\)
Solve:
\(3x -3= 15\)
\(x = 6\)
Solve:
\(6x +5= 2x + 37\)
\(x = 8\)
Solve:
\(4(4x +5)-5= 127\)
\(x = 7\)
Solve:
\(5(3x + 5)= 2(2x + 4)\)
\(x = -1.55 \text{(to 3 sf)}\)
Solve:
\(3x-2y = 5\)
\(4x+2y = 30\)
\(x = 5, y = 5\)
Solve:
\(2x+5y = 18\)
\(7x-15y = -2\)
\(x = 4, y = 2\)
Solve:
\(3x+3y = -24\)
\(7x-2y = -24.5\)
\(x = -4.5, y = -3.5\)
Find the union of:
{1,3,5,7,9} and
{2,6,12}
{1,2,3,5,6,7,9,12}
Find the intersection of:
{1,3,5,7,9} and
{5,6,7,8,9,10}
{5,7,9}
A plane flies from point A to point B on a bearing of 150o. What bearing would it return on from B to A? 330o
A number is picked at random from the set
{6,7,8,9,10}
what is the probability it is even? \(\frac35\)
Evaluate:
8 + (3 × 62 − 7)
109
Simplify the following by collecting like terms:
\(3y+2w+7y\)
\(10y+2w\)
Divide 55 in the ratio
6:5
30 and 25
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:
1080
2 x 2 x 2 x 3 x 3 x 3 x 5
In a sale an item costs £68 after a 15% reduction. What was the original price?
£80
Find the mean, mode, median and range of the following:
2,4,6,8,10
Mean = 6, no mode,
median = 6 and range = 8
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.464646... \(\frac{46}{99}\)
Decrease £120 by 30%
£84
Expand:
\(7(9x-4)\)
\(63x-28\)
Expand:
\((x+1)(3x-4)\)
\(3x^2-x-4\)
Factorise:
\(81x-63\)
\(9(9x-7)\)
Factorise:
\(x^2-2x-3\)
\((x+1)(x-3)\)
Factorise:
\(4x^2+4x-3\)
\((2x+3)(2x-1)\)
Which theorem?
Find the value of:
6.92 × 10-3
= 0.00692
Write in standard form:
3650
= 3.65 × 103
Write in standard form:
0.0000738
= 7.38 × 10-5
Find the nth term:
\(-1, 6, 17, 32, 51, \)
\(2n^2+n-4\)
Multiply 7 × 104
by 5 × 103 and give the answer in standard form.
= 3.5 × 108
Solve:
\(x^2+x-20= 0\)
\(x = 4\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2-5x-3 = 0\)
\(x = 1.69\) and \(-0.443\)
What is the size of each interior angle of a regular heptagon?
128.6°
Make \(g\) the subject of the formula
$$e=\frac{g}{h}+d$$
$$g=h(e-d)$$
Calculate the value of:
2456 ÷ 8
= 307
What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13
What is the square root of
81
9
What is the difference between the 8th and the 9th prime numbers?
23 - 19 = 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: 8.88, 8.08, 0.88, 0.8, 8.8, 8, 0.08, in ascending order.
0.08, 0.8, 0.88, 8, 8.08, 8.8, 8.88,
Write down these lengths: 18mm, 1.08m, 17cm, 1.8m, 107cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 17cl, 200ml, 18cl, 173ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
e = 69
j = 58
Round to one significant figure:
a) 84.68; 80
b) 271902; 300000
c) 66; 70
d) 0.00125; 0.001
Round each value to one significant figure to make an estimate:$$84 + 2.8 \times 63$$\(80 + 3 \times 60 = 260\)
A pie chart shows the colours of 120 books. What sector angle represents the
23 red books?
69°
What is the equation?
\(y=x+3\)A pie chart shows the colours of 12 hats. How many green hats are represented
by a sector
angle of 90°?
3
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