What is the 9th:
a) Odd number; 17
b) Square number; 81
c) Prime number. 23
Find all the factors of:
22
1, 2, 11, 22.
Subtract the 5th from the 9th multiples of:
7
28
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) 67.16; 67.2
b) 325716; 326000
c) 65; 65.0
d) 0.006595; 0.00660
Find the area of a triangle that has a base of 6cm and a height of 11cm.
33cm2
Find the area of a trapezium that has a base of 13cm, a height of 6cm and a top (parallel to base) of 3cm. 48cm2
Evaluate:
\( \frac{1}{3} + \frac{4}{7}\) \(= \frac{19}{21}\)
Evaluate:
\( \frac{2}{4} × \frac{5}{6}\) \(= \frac{5}{12}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{7}{5}\) \(= \frac{10}{21}\)
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 8cm. Give your answer to three significant figures.
201cm2
Find the circumference of a circle that has a radius of 6cm. Give your answer to three significant figures.
37.7cm
Calculate the value of:
3.7 + 6.9
= 10.6
Calculate the value of:
5.3 − 3.9
= 1.4
Calculate the value of:
2.4 × 2.8
= 6.72
Calculate the value of:
84.6 ÷ 18
= 4.7
What is the value of:
23
= 8
What is the value of:
\(4^{-3}\)
\(= \frac{1}{64}\)
Calculate the value of:
96 + 59
= 155
Calculate the value of:
61 − 28
= 33
Calculate the value of:
23 × 29
= 667
Calculate the value of:
1185 ÷ 15
= 79
Find the value of:
75% of 180
= 135
Find the value of:
3.96 × 106
= 3960000
Find the highest common factor of forty five and twenty.
= 5
4 × 2 = 8 | 3 × 3 = 9 |
7 × 4 = 28 | 6 × 3 = 18 |
8 × 4 = 32 | 5 × 4 = 20 |
9 × 5 = 45 | 2 × 5 = 10 |
9 × 12 = 108 | 8 × 3 = 24 |
6 × 4 = 24 | 3 × 11 = 33 |
5 × 2 = 10 | 7 × 10 = 70 |
4 × 4 = 16 | 2 × 8 = 16 |
9 × 2 = 18 | 8 × 2 = 16 |
6 × 2 = 12 | 3 × 2 = 6 |
5 × 2 = 10 | 4 × 2 = 8 |
7 × 2 = 14 | 2 × 2 = 4 |
9 × 3 = 27 | 4 × 3 = 12 |
5 × 3 = 15 | 8 × 3 = 24 |
6 × 3 = 18 | 3 × 3 = 9 |
7 × 3 = 21 | 2 × 3 = 6 |
5 × 4 = 20 | 7 × 4 = 28 |
3 × 4 = 12 | 6 × 4 = 24 |
9 × 4 = 36 | 4 × 4 = 16 |
8 × 4 = 32 | 2 × 4 = 8 |
8 × 5 = 40 | 4 × 5 = 20 |
3 × 5 = 15 | 5 × 5 = 25 |
6 × 5 = 30 | 9 × 5 = 45 |
7 × 5 = 35 | 2 × 5 = 10 |
6 × 6 = 36 | 7 × 6 = 42 |
8 × 6 = 48 | 3 × 6 = 18 |
4 × 6 = 24 | 9 × 6 = 54 |
5 × 6 = 30 | 2 × 6 = 12 |
7 × 7 = 49 | 4 × 7 = 28 |
6 × 7 = 42 | 5 × 7 = 35 |
8 × 7 = 56 | 3 × 7 = 21 |
9 × 7 = 63 | 2 × 7 = 14 |
3 × 8 = 24 | 5 × 8 = 40 |
7 × 8 = 56 | 9 × 8 = 72 |
6 × 8 = 48 | 4 × 8 = 32 |
8 × 8 = 64 | 2 × 8 = 16 |
8 × 9 = 72 | 4 × 9 = 36 |
5 × 9 = 45 | 6 × 9 = 54 |
7 × 9 = 63 | 9 × 9 = 81 |
3 × 9 = 27 | 2 × 9 = 18 |
3 × 12 = 36 | 7 × 12 = 84 |
9 × 12 = 108 | 4 × 12 = 48 |
6 × 12 = 72 | 5 × 12 = 60 |
8 × 12 = 96 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{28}{49}\) \(= \frac{4}{7}\)
Evaluate:
\( 3\frac{2}{3} − \frac{4}{5}\) \(= 2\frac{13}{15}\)
Find AB if AC = 4.7m and BC = 6m. 3.73m
Find angle ABC if AC = 4.4m and BC = 5.5m. 53.1o
Find AC if angle BCA = 36o and AB = 3.2m. 4.40m
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.
\( \frac{5}{10}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.03\) = \( \frac{3}{100}\)
Increase £60 by 45%
£87
What is the lowest common multiple of nine and twenty one.
= 63
2,11,20,29,38...
Find the:
a) next term; 47
b) nth term; 9n - 7
c) term number 30; 263
5,10,20,40,80...
Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 8; 640
If £100 is invested for 4 years with a simple interest rate of 3%, find the amount of interest earned. £12.00
If £160 is invested with an interest rate of 2% compounded annually, find the value of the investment after 6 years. £180.19
If £1 is worth $1.26, convert:
a) £140 to dollars; $176.40
b) $200 to pounds; £158.73
What are the coordinates of the midpoint of the line joining:
\((-7,2) \text{ and } (-1,8)\)
(-4,5)
What is the gradient of the line joining:
\((4,-5) \text{ and } (8,-2)\)
\(\frac{3}{4}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((3,2),(6,6),(-1,5)\)
(2,9)
a) 8 − 17 = -9
b) 8 × (-12) = -96
c) (12−20)(11−18) = 56
d) 96 ÷ (-12) = -8
e) (-6)2 = 36
If p = 6, q = 22 and
r = -8 evaluate:
a) 2q − p = 38
b) pq + r = 124
c) p2 − 5q - r = -66
Solve:
\(4x = 36\)
\(x = 9\)
Solve:
\(5x -4= 11\)
\(x = 3\)
Solve:
\(9x +2= 5x + 14\)
\(x = 3\)
Solve:
\(4(5x +2)-12= 96\)
\(x = 5\)
Solve:
\(5(3x + 4)= 2(2x + 5)\)
\(x = -0.909 \text{(to 3 sf)}\)
Solve:
\(6x+4y = 62\)
\(5x-4y = 15\)
\(x = 7, y = 5\)
Solve:
\(4x+5y = 51\)
\(6x+10y = 94\)
\(x = 4, y = 7\)
Solve:
\(3x+3y = 3\)
\(7x+2y = 14.5\)
\(x = 2.5, y = -1.5\)
Find the union of:
{1,3,5,7,9} and
{5,6,7,8,9,10}
{1,3,5,6,7,8,9,10}
Find the intersection of:
{1,3,5,7,9} and
{2,6,12}
∅
A plane flies from point A to point B on a bearing of 233o. What bearing would it return on from B to A? 053o
A number is picked at random from the set
{2,4,6,8,10}
what is the probability it is even? 1
Evaluate:
(15 − 7)2 + 8 × 9
136
Simplify the following by collecting like terms:
\(6m+7+5m+8\)
\(11m+15\)
Divide 150 in the ratio
8:7
80 and 70
Draw a rough sketch of the graph of:
\(y=x\)
Gradient 1
y intercept 0
Express the following number as the product of prime numbers:
24
2 x 2 x 2 x 3
In a sale an item costs £76 after a 5% 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.
0.848484... \(\frac{28}{33}\)
Decrease £120 by 15%
£102
Expand:
\(2(4x-6)\)
\(8x-12\)
Expand:
\((4x+3)(4x-3)\)
\(16x^2-9\)
Factorise:
\(56x-64\)
\(8(7x-8)\)
Factorise:
\(x^2+2x-8\)
\((x+4)(x-2)\)
Factorise:
\(10x^2+9x-9\)
\((2x+3)(5x-3)\)
Which theorem?
Find the value of:
9.9 × 10-4
= 0.00099
Write in standard form:
995
= 9.95 × 102
Write in standard form:
0.0000351
= 3.51 × 10-5
Find the nth term:
\(0, 5, 12, 21, 32, \)
\(n^2+2n-3\)
Multiply 8 × 104
by 5 × 103 and give the answer in standard form.
= 4 × 108
Solve:
\(x^2-x-12= 0\)
\(x = 4\) and \(-3\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2+5x-1 = 0\)
\(x = 0.175\) and \(-1.43\)
What is the size of each exterior angle of a regular heptagon?
51.4°
Make \(e\) the subject of the formula
$$f=g(e+h)$$
$$e=\frac{f}{g}-h$$
Calculate the value of:
732 ÷ 2
= 366
What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13
What are the three largest square numbers less than
100
81, 64, 49
What is the difference between the 7th and the 8th prime numbers?
19 - 17 = 2
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: 7.7, 7.07, 7, 0.77, 0.7, 7.77, 0.07, in ascending order.
0.07, 0.7, 0.77, 7, 7.07, 7.7, 7.77,
Write down these lengths: 1.8m, 17cm, 18mm, 1.08m, 107cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 173ml, 17cl, 18cl, 21cl, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
e = 69
c = 78
Round to one significant figure:
a) 98.25; 100
b) 205397; 200000
c) 33; 30
d) 0.00564; 0.006
Round each value to one significant figure to make an estimate:$$4.9 \times 44 - 181$$\(5 \times 40 - 200 = 0\)
A pie chart shows the colours of 60 books. What sector angle represents the
39 red books?
234°
What is the equation?
\(x=5\)A pie chart shows the colours of 10 hats. How many green hats are represented
by a sector
angle of 252°?
7
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