What is the 7th:
a) Odd number; 13
b) Square number; 49
c) Prime number. 17
Find all the factors of:
43
1, 43.
Subtract the 7th from the 12th multiples of:
7
35
What are the names of regular polygons with:
a) seven sides;
b) eight sides;
c) nine sides.
Heptagon, Octagon and Nonagon (all regular)
Round to three significant figures:
a) 69.01; 69.0
b) 323356; 323000
c) 46; 46.0
d) 0.004695; 0.00470
Find the area of a triangle that has a base of 3cm and a height of 6cm.
9cm2
Find the area of a trapezium that has a base of 12cm, a height of 6cm and a top (parallel to base) of 6cm. 54cm2
Evaluate:
35+79 =11745
Evaluate:
13×46 =29
Evaluate:
12÷64 =13
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
510 =50%
Find the area of a circle that has a radius of 2cm. Give your answer to three significant figures.
12.6cm2
Find the circumference of a circle that has a radius of 8cm. Give your answer to three significant figures.
50.3cm
Calculate the value of:
9.7 + 2.7
= 12.4
Calculate the value of:
8.1 − 4.9
= 3.2
Calculate the value of:
3.8 × 8.6
= 32.68
Calculate the value of:
81.9 ÷ 13
= 6.3
What is the value of:
52
= 25
What is the value of:
4−3
=164
Calculate the value of:
27 + 59
= 86
Calculate the value of:
61 − 29
= 32
Calculate the value of:
84 × 27
= 2268
Calculate the value of:
1218 ÷ 29
= 42
Find the value of:
50% of 280
= 140
Find the value of:
8.73 × 102
= 873
Find the highest common factor of eighteen and four.
= 2
5 × 2 = 10 | 3 × 5 = 15 |
9 × 4 = 36 | 4 × 4 = 16 |
7 × 4 = 28 | 8 × 2 = 16 |
6 × 4 = 24 | 2 × 3 = 6 |
7 × 4 = 28 | 4 × 7 = 28 |
5 × 9 = 45 | 8 × 11 = 88 |
6 × 9 = 54 | 9 × 8 = 72 |
3 × 11 = 33 | 2 × 9 = 18 |
8 × 2 = 16 | 7 × 2 = 14 |
3 × 2 = 6 | 4 × 2 = 8 |
5 × 2 = 10 | 6 × 2 = 12 |
9 × 2 = 18 | 2 × 2 = 4 |
4 × 3 = 12 | 6 × 3 = 18 |
7 × 3 = 21 | 9 × 3 = 27 |
8 × 3 = 24 | 5 × 3 = 15 |
3 × 3 = 9 | 2 × 3 = 6 |
9 × 4 = 36 | 8 × 4 = 32 |
7 × 4 = 28 | 3 × 4 = 12 |
5 × 4 = 20 | 4 × 4 = 16 |
6 × 4 = 24 | 2 × 4 = 8 |
7 × 5 = 35 | 9 × 5 = 45 |
4 × 5 = 20 | 5 × 5 = 25 |
8 × 5 = 40 | 6 × 5 = 30 |
3 × 5 = 15 | 2 × 5 = 10 |
6 × 6 = 36 | 7 × 6 = 42 |
5 × 6 = 30 | 8 × 6 = 48 |
3 × 6 = 18 | 9 × 6 = 54 |
4 × 6 = 24 | 2 × 6 = 12 |
8 × 7 = 56 | 9 × 7 = 63 |
3 × 7 = 21 | 6 × 7 = 42 |
4 × 7 = 28 | 7 × 7 = 49 |
5 × 7 = 35 | 2 × 7 = 14 |
4 × 8 = 32 | 9 × 8 = 72 |
3 × 8 = 24 | 6 × 8 = 48 |
7 × 8 = 56 | 5 × 8 = 40 |
8 × 8 = 64 | 2 × 8 = 16 |
8 × 9 = 72 | 5 × 9 = 45 |
7 × 9 = 63 | 9 × 9 = 81 |
6 × 9 = 54 | 3 × 9 = 27 |
4 × 9 = 36 | 2 × 9 = 18 |
9 × 12 = 108 | 5 × 12 = 60 |
6 × 12 = 72 | 4 × 12 = 48 |
3 × 12 = 36 | 7 × 12 = 84 |
8 × 12 = 96 | 2 × 12 = 24 |
Write this fraction in its simplest form:
612 =12
Evaluate:
312−56 =223
Find AB if AC = 5.1m and BC = 6.1m. 3.35m
Find angle BCA if AC = 4.7m and BC = 6.2m. 40.7o
Find AB if angle ABC = 46o and BC = 5.3m. 3.68m
XII - V
Give your answer in Roman numerals.
VII
LXXI - XX
Give your answer in Roman numerals.
LI
MMDCCXII - MDCCXXXV
Give your answer in Roman numerals.
CMLXXVII
Convert this fraction to a decimal to 3 significant figures.
16 =0.167
Convert this decimal to a fraction.
0.76 = 1925
Increase £80 by 10%
£88
What is the lowest common multiple of eight and twenty four.
= 24
5,16,27,38,49...
Find the:
a) next term; 60
b) nth term; 11n - 6
c) term number 49; 533
5,15,45,135,405...
Find the:
a) next term; 1215
b) nth term; 5 × 3n-1
c) term number 9; 32805
If £220 is invested for 7 years with a simple interest rate of 3%, find the amount of interest earned. £46.20
If £200 is invested with an interest rate of 6% compounded annually, find the value of the investment after 6 years. £283.70
If £1 is worth $1.37, convert:
a) £120 to dollars; $164.40
b) $180 to pounds; £131.39
What are the coordinates of the midpoint of the line joining:
(8,−2) and (16,4)
(12,1)
What is the gradient of the line joining:
(−8,5) and (−3,10)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
(2,1),(7,4),(−1,6)
(4,9)
a) 10 − 18 = -8
b) 10 × (-6) = -60
c) (11−18)(10−18) = 56
d) 60 ÷ (-6) = -10
e) (-7)2 = 49
If p = 5, q = 23 and
r = -8 evaluate:
a) 2q − p = 41
b) pq + r = 107
c) p2 − 5q - r = -82
Solve:
3x=9
x=3
Solve:
5x−2=18
x=4
Solve:
8x+4=6x+10
x=3
Solve:
5(2x+5)−11=44
x=3
Solve:
3(3x+3)=2(5x+2)
x=5
Solve:
4x−5y=6
5x+5y=30
x=4,y=2
Solve:
3x+2y=31
5x+6y=65
x=7,y=5
Solve:
2x+2y=−2
3x+5y=9
x=−7,y=6
Find the union of:
{2,4,6,8,10} and
{1,3,6,10,15}
{1,2,3,4,6,8,10,15}
Find the intersection of:
{1,3,5,7,9} and
{6,7,8,9,10}
{7,9}
A plane flies from point A to point B on a bearing of 176o. What bearing would it return on from B to A? 356o
A number is picked at random from the set
{3,6,9,12,15}
what is the probability it is even? 25
Evaluate:
(12 − 4)2 + 7 × 9
127
Simplify the following by collecting like terms:
2y+2y2−5y+y2
3y2−3y
Divide 225 in the ratio
8:7
120 and 105
Draw a rough sketch of the graph of:
y=2x+2
Gradient 2
y intercept 2
Express the following number as the product of prime numbers:
30
2 x 3 x 5
In a sale an item costs £17 after a 15% reduction. What was the original price?
£20
Find the mean, mode, median and range of the following:
1,3,1,10,5
Mean = 4, mode = 1,
median = 3 and range = 9
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.292929... 2999
Decrease £140 by 25%
£105
Expand:
3(9x−2)
27x−6
Expand:
(3x+2)(3x−4)
9x2−6x−8
Factorise:
48x−42
6(8x−7)
Factorise:
x2+3x−4
(x+4)(x−1)
Factorise:
x2−16
(x+4)(x−4)
Which theorem?
Find the value of:
4.55 × 10-5
= 0.0000455
Write in standard form:
452000
= 4.52 × 105
Write in standard form:
0.00192
= 1.92 × 10-3
Find the nth term:
9,21,37,57,81,
2n2+6n+1
Multiply 8 × 102
by 6 × 104 and give the answer in standard form.
= 4.8 × 107
Solve:
x2+2x−15=0
x=3 and −5
Solve this equation giving the solutions to 3 significant figures:
5x2−3x−4=0
x=1.24 and −0.643
What is the size of each exterior angle of a regular octagon?
45°
Make g the subject of the formula
e=gh+d
g=h(e−d)
Calculate the value of:
1075 ÷ 5
= 215
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
What is the square root of
121
11
What are the next three prime numbers after
31
37, 41, 43
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: 4.44, 4.4, 0.44, 4, 4.04, 0.4, 0.04, in ascending order.
0.04, 0.4, 0.44, 4, 4.04, 4.4, 4.44,
Write down these lengths: 107cm, 1.8m, 18mm, 1.08m, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 200ml, 17cl, 21cl, 173ml, 18cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
i = 54
a = 132
Round to one significant figure:
a) 44.46; 40
b) 971049; 1000000
c) 28; 30
d) 0.00178; 0.002
Round each value to one significant figure to make an estimate:6.6×93−1737×90−200=430
A pie chart shows the colours of 10 books. What sector angle represents the
3 red books?
108°
What is the equation?
y=x−4A pie chart shows the colours of 45 hats. How many green hats are represented
by a sector
angle of 80°?
10
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