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Year 7 MathsProgress Booklet
Name Form
Teacher: Maths group
My level last year was My end of year target level is
Sir Harry Smith Community College
2
Number Number 1 Leve
l
1
Write the following numbers in figures:a) ten thousandb) fourteen thousand, eight hundred and twenty fourWrite the following numbers in words:a) 3125
b) 1057
4
2
0.07 is the same as 7 hundredths0.7 is the same as ……………………..0.015 is the same as ……………………..What does the 7 represent in the number 34768?
4
3
Multiply by 10: Divide by 10:a) 6 b) 12 c) 273 a) 120 b) 4500 c) 6310
Multiply by 100: Divide by 100:a) 11 b) 37 c) 104 a) 2700 b) 8900 c) 12300
Multiply by 1000: Divide by 1000:a) 7 b) 28 c) 132 a) 3000 b) 12000 c) 34000
4
4
Multiply by 10: Divide by 10:a) 6.3 b) 0.2 c) 2.73 a) 15 b) 453 c) 1.5
Multiply by 100: Divide by 100:a) 11.4 b) 2.37 c) 0.04 a) 27 b) 80 c) 123
Multiply by 1000: Divide by 1000:a) 3.7 b) 28 .4 c) 1.32 a) 300 b) 120 c) 34
4
5Put these temperatures in order. Start with the lowest temperature. -3° C 2° C -4° C 1° C 4° C 4
6
What is:2 x 7 3 x 54 x 9 5 x 76 x 6 7 x 88 x 3 9 x 4
4
3
Number Number 1 Leve
l
7
Work outa) 8.2 + 9.7 b) 5.67 + 0.94 c) 12.45 + 3.49
4
8
Work outa) (+3) + (-1) = b) (+1) + (-5) = c) (-5) + (-2) =
d) (-2) - (-2) = e) (-5 )- (-4) = f) (-4) - (-2) =5
92 x -10 = -21 -3 =
-6 x 3 = -150 30 =5
10
Write the following as decimals:
5
11
A toy costs £2.35Nasreen buys three of these toys.a) Work out an estimate for the total cost.b) Work out the exact total cost.
A CD costs £9.65James buys six of these CDs.a) Work out an estimate for the total cost.b) Work out the exact total cost
5
4
Number Algebra 1Level
1
Write down the missing numbers in the following sequences
A) 6, 10, .....,. 18, .........., 26
B) 11, 8, 5 ........, ............,
4
2
Using the rule ‘Multiply by 2 and add 6’, write down the missing numbers in the sequence.
A) 2, 10, ..........., 58
Using the rule’ Divide by 2’, write down the missing numbers in the sequence
B) 120, 60, ............., 15
4
3
Draw the next pattern in this sequence
4
4
What is the rule to obtain the next number in the following sequence?
3, 8, 13, 18 .................
4
5
Write down the first ten square numbers
5
6
Write down the first three cube numbers
5
5
Number Algebra 1Level
7
A function rule for x is “multiply by 2 and add 3”. Write this function as a mapping.
6
8
What is the nth term rule for the following sequences?
A) 3, 9, 15, 21
B) 13, 9, 5, 1, -3
7
6
Number Number 2 Level
1
Write down the fraction of the shape that is shaded
4
2
(b) Fill in the missing numbers in the boxes.
212 6
=
12
12=
1 624
=
4
3
Write each fraction in its simplest form.
4
4
Change these mixed numbers to improper fractions.
4
5
Change these improper fractions to mixed numbers.
4
6
Write the next 3 numbers in the following sequences:10, 20, 30…25, 35, 45…100, 200, 300…40, 140, 240…
4
7
Write the next 3 numbers in the following sequences:900, 800, 700….1080, 980, 880…30, 20, 10, …65, 55, 45…
4
8
Write each percentage as a fraction.a 79% b 9% c 57% d 1% e 7%
4
7
Number Number 2 Level
9Find ½ of: a £8 b £20 c £12 d £16
Find 1/3 of a £60 b £45 c £75 d £965
10
Write the following as fractions in their simplest form:a 0.5 b 0.25 c 0.75 d 0.64 e 0.375
5
11
Write each percentage as a fraction in its simplest form.
Write each percentage as a decimal.
5
12
1. John earns £200 per week. He gets a wage rise of 10%.How much does John earn per week after his rise?
2. A television set normally costs £300. It has 15% off in a sale, how much will you have to pay?
5
13
Here are four fractions.
43
81
31
53
Look at the number line below. Write each fraction in the correct box.
6
8
Number Shape, space and measures 1 Level
1
Draw a line 4.3cm long:
Measure this line to the nearest mm:4
2
What value is the arrow pointing to on the scale?
2 3 4
4
3
Find the perimeter of this rectangle
4
4
Find the area of this rectangle
Find the area of this shape4/5
5
Calculate the surface area of this cuboid
5
6
Calculate the volume of this cuboid
5
9
3cm
4cm
4cm
6cm
7cm
10cm
3cm
10cm
12cm
15m
10m
8m
Number Shape, space and measures 1 Level
7
Draw a cuboid 2 x 3 x 4 on the isometric grid below
5
8
What 3-D shapes do these nets make?
5
9
Sketch the net of this cuboid
5/6
10
102
4
Number Shape, space and measures 1 Level
10
Calculate the area of these triangles
Calculate the area of this parallelogram
5/6
11
Calculate the area of this trapezium
6
11
6cm
7cm5cm
5cm5cm 4cm
8cm
5cm 6cm
15cm
8cm9cm
8cm
14cm
9cm
5cm
Number Algebra 2 Level
1
a =3 b =4
Calculate the value of
a + b =
b – a =
a - b
4
2
Underline the like terms in the following sequence
3a + 4b + 2a +64
3
Underline the second term in the following
4a + 5b + 6a - 3
Is 3a + b an expression or an equation?
Is 3t + 4 = 25 an expression or an equation?
4
12
Number Algebra 2 Level
4
Write an equation for the following statement.
Think of a number, multiply it by 7 and add 3. The answer is 25
4/5
5
Collect the following terms together
3a + 19b + 20a + 2b - b
5
6
Solve the following equations4y +3 =19
y – 2 = -145
13
Number Algebra 2 Level
7
a = 3 b = 5 c = 10
What is the value of the following expressions?
ab
a + b + c
ac -b
5
14
Number Shape, space and measures 2 and 3 Leve
l
1
State whether the angles are acute, obtuse or reflex
4
2
Estimate the size of the following angles
4
3
Give a pair of parallel lines from the diagram
4
15
x°y°
z°
w°
a° b°
c°d°
A
FE
B C
G
D
Number Shape, space and measures 2 and 3 Level
4At what angle do perpendicular lines meet?
4
5
Pair up the type of triangle with its correct description
Isosceles All three angles are the same
Scalene One angle of 90°
Equilateral Two angles and two sides the same
Right angle No angles or sides the same Triangle
4
6
Give the coordinates of the points A B & C
4
7
Plot the points (5,2) and (1,4)
4
16
76543210
1 2 3 4 5 6 7 8
A
B
C
76543210
1 2 3 4 5 6 7 8
Number Shape, space and measures 2 and 3 Level
8
a) Plot the points (-4, 3) and (-2,-4)b) Give the coordinates of points P and Q
5
9
Draw in any lines of symmetry on this triangle
5
10
Draw in the lines of symmetry on these two quadrilaterals
a) b)5
17
1 2 3 4 5 -4 -3 -2 -1
5
4
3
2
1P
Q
-1
0
-2
-3
-4
Number Shape, space and measures 2 and 3 Leve
l
11
What is the angle t On the diagram? ………°
5
12
Calculate angles m and n
5
13
What is angle f ?
5
14
Which angle is vertically opposite to angle h ?
5
15
Measure angle t accurately
5
18
t 55°
80°
60°m° n°
50°
150°90°f °
f °
h° j°k°g°
t°
Number Shape, space and measures 2 and 3 Leve
l
16
a) Draw a line at an angle of 37° to the line XY
X Y
b) Draw a line at an angle of 120° to the line AB
A B
5
17
Construct this triangle accurately
5
19
8cm
6cm
62°
Number Shape, space and measures 2 and 3 Leve
l
18
Construct a triangle with a side of 7cm and angles of 45° and 82°
5
19
Draw a triangle with sides of 7.5cm, 6cm and 4.5cm
6
20
Draw the perpendicular bisector of the line RS
6
20
SR
Number Shape, space and measures 2 and 3 Lev
el
21
Construct the bisector of the angle DEF
6
21
D
E
F
0 1
Number Handling Data 1 Level
1
An example of a certain event is ………………………………………………………………………………………………………………………………An example of an impossible event is ………………………………………………………………………………………………………………………………An example of a likely event is ………………………………………………………………………………………………………………………………
3
2Label the following events on the probability scaleA – Pigs will flyB – The sun will rise tomorrowC – That the next card will be a picture card (J, Q, K) in a normal pack of cards
3
3The mode of the following set of number is ………..4, 1, 13, 2, 4, 15, 4, 7 4
4The range of the following set of number is ………..4, 1, 13, 2, 4, 15, 4, 7 4
5
The median of the following set of number is ………..4, 1, 13, 2, 4, 15, 4, 7 5
6
The mean of the following set of number is ………..4, 1, 13, 2, 4, 15, 4, 7
5
7
Compare the mean and the range for the following heights of boys and girls.
Boys Height (cm) 105, 107, 110, 106, 103, 105Girls height (cm) 95, 90, 75, 103, 93, 67
5
22
Number Handling Data 1 Level
8List all the possible outcomes when a dice and a coin is thrown together.(H,1) 5
9
You are going to see if a dice is biased. How many times would you roll it?Design a table to collect your results:
5
10
The modal amount of pocket money is …………………….
Amount Frequency2.50 24 25 67 27.50 38 1
5
11
Amy carries out an experiment to collect some data. She tests 50 microchips. 6 are defective. What is the probability that the next chip will be defective, according to her sample?
5
12In the previous question theactual probability of a microchip being defective should be 10% (0.1). What can you say about Amy’s sample?
5
23
13If the probability of it raining today is 16% what is the probability it will not rain?
5
14
For the following scores in a maths test, does the mean, mode or median best describe the average score? Explain why.
3, 4, 6, 7, 8, 9, 33
What does the range of a set of data tell you about the data?5/6
24
Number Handling Data 2 Level
1
4
2 4
3 4
25
Number Handling Data 2 Level
4
The data in the table shows a class’s favourite ice cream flavor. Draw a graph to represent this data.
5
26
Number Handling Data 2 Level
5
The data in the table shows the temperature every two hours on a day in August. Draw a a graph to represent this data.
5
27
Number Handling Data 2 Level
7 5
8
You want to find out what is Year 8’s favourite drink, and how much water they drink to stay healthy. Design a short questionnaire to find out this information.
5
28
Number Handling Data 2 Level
9
Design a data collection sheet for your questionnaire (from question 8)
You should include what size sample you plan to use.
5
10 5
29
Number Handling Data 2 Level
11 5
14
Use the graph paper below to construct a frequency diagram for the data shown.
5
30
Number Number 3 Level
1
2,356 to the nearest 10 _______________________
15674 to the nearest 100 _______________________
453 to the nearest 1000 _______________________
4
2
5.67 to nearest whole number ______________________
17.98 to nearest whole number _____________________
119.209 to nearest whole number ___________________
5
3
5.67 to 1dp ____________________________________
17.98 to 1 dp___________________________________
119.209 to 1 dp _________________________________
5
4
36 + 49 =
745+2367 =
3/4
5
764-523 =
467 – 388 =3/4
64.956÷(1.3-0.71) =
(2.67+1.2+5)x1.1 =4/5
31
Number Number 3 Level
72.42-1.72 =
√8.41+1.73 =5/6
8
324x 17 =
628 x 23 =
5
9
409 ÷ 17 =
544 ÷ 21 = 5
10
3+2x7=
83-13x 4 =
(3+8) x 6 =
(12÷3) x ( 18÷3) =
19 + 35 ÷ 5 -16 =
(21÷7)2 + (16 x 2) =
5
32
Number Algebra 3 Level
1
What are the first five multiples of :
5
11
25
4
2
What is…?
22
52
112
What is…..?
√9
√144
4
3
Write down all the factors of:
24
36
100
4
33
Number Algebra 3 Level
4 4
5
Is 23560 divisible by 5? Yes / No
Is 32788 divisible by 4? Yes / No
Is 43509 divisible by 6? Yes / No
4/5
6
Express 108 as a product of its prime factors
5
34
1
-1-2-3
43
5y
4 3 5 x-1--2
2
21
Plot these coordinates on the grid
(5,3) (3,0) (2,5)
Number Algebra 3 Level
7
What is the LCM of 5 and 12?
5
8
What is the HCF of 26 and 108?
5
9 5
35
1
-1-2-3
43
5y
4 3 5 x-1--2
2
21Plot these coordinates on the grid
(-1,3) (0,-3) (-2,-3)
Number Algebra 3 Level
10
Plot the following functions
5
36
1
-1-2-3
43
5y
4 3 5 x-1--2
2
21
1
-1-2-3
43
5y
4 3 5 x-1--2
2
21
y = x + 3
y = 2x -1
Number Algebra 3 Level
11
Adam cycled from his home to the park.Adam waited in the park.Then he cycled back home.Here is a distance-time graph for Adam’s complete journey.
8
6
4
2
00 9 0 0 0 9 1 0 0 9 2 0 0 9 3 0 0 9 4 0 0 9 5 0 1 0 0 0 1 0 1 0
T im e o f d a y
D istan c efro mh o m e(k m )
5
11
At what time did Adam leave home? ..........................
What is the distance from Adam’s home to the park?
................... km
How many minutes did Adam wait in the park?
..........................
5
12
List the first 5 prime numbers
5
13
List the first 5 triangular numbers.
Can you explain the rule?
5
37
Number Number 4 Level
1
Bob has 20 sweets. He gives ¼ of them to his sister, Sally.
a)How many sweets does Sally receive?
b)How many sweets does Bob have left?
c)Can Bob give ½ of these to his brother? Explain your answer.
4
2
What percentage of this grid is shaded?
What percentage is white?
4
3
What proportion of the squares are white?
4
4
There are 4 boys for every 3 girls in a class. If there are 28 pupils in the class, how many girls are in the class?
5
5
There are 3 Fiction books to every 1 non-Fiction book in a library.
What fraction of the books are Fiction?
What % of the books are non-Fiction?
5
38
Number Shape, Space and Measures 4 Level
1
Reflect the triangle in the mirror line AB
A
B
Reflect the shape in the mirror line CD
C D
3
Number Shape, Space and Measures 4 Level2 Reflect shape A in the mirror line XY 4
39
X
A
3
Rotate shape F 90° clockwise about point H
4
Number Shape, Space and Measures 4 Level4 Translate shape A 3 squares to the right 4
40
H
F
5
Translate shape M 4 squares to the left and 3 squares down
5
41
A
M
Number Shape, Space and Measures 4 Level
6
Mark all the lines of symmetry for the following shapes
a)
b)
c)
d)
4/5
Number Shape, Space and Measures 4 Level7 Give the order of rotational symmetry of the shapes in question 6. 5
42
a)
b)
c)
d)
43
Number Handling Data 3 Level
1
The scores of 20 students’ in a mental maths test are listed below. Represent this data in a tally chart.
1, 5, 6, 5, 3, 3, 2, 5, 1, 5, 6, 4, 3, 2, 2, 2, 5, 4, 3, 2
Score Tally Frequency
1
2
3
4
5
6
4
2
Draw a bar chart representing the information shown in your tally chart above
4
44
Number Handling Data 3 Level
3
This table shows the number of different sorts of snacks sold by a school tuck shop
Snack Mon Tues Wed Thurs Fri
Mars 3 1 0 0 3
Twix 2 2 1 3 4
Aero 5 0 0 1 4
How many Aero were sold on Monday?
How many snacks were sold on Friday?
How many Mars were sold in the whole week?
4
4
Find the mean, median, mode and range of the following numbers.
8, 5, 5, 12, 204
5
What was the temperature at 10am?
4/5
45
Temperature in London
02468
101214161820
6 am 7 am 8 am 9 am 10 am 11 am 12 pm 1 pm 2 pm 3 pm 4 pm 5 pm 6 pm
Time
Tem
pera
ture
(ºC
)
What was the maximum temperature recorded that day?
46
Number Handling Data 3 Level
6
Draw a Pie Chart from the following data
Colour Frequency Angle
Blue 20
Red 10
Green 6
5
7 The table below shows the number of words in 50 sentences for two newspapers.
What do the results show?
5/6
47
Number of words in sentence
1-5 6-10 10-15 16-20 21 or more
Sun 13 25 9 3 0
Times 2 18 22 7 1
48
Number Handling Data 3 Level
8
Design a questionnaire to find how many hours of television year 10 students watch each week.
6
49
Number Shape, Space and Measures 5 Level
1,2,3
Place the following units in the correct columns in the table
Hectare, metre, cm2, kilometre, cubic metre, square metre, litre, millimetre, mm2
Length Area Volume
4
4
1) A builder needs skirting board for the room shown below.
a) How much does he need to buy to go all the way round the room?b) How many lengths must he buy if it is sold in 2 metre lengths?c)
2) Turf is sold in rolls ½ metre x 4metres
How many rolls do you need to cover a lawn 20m x 16m?
3) The cube on the right has a volume
of 150m³ . what is the volume in cm³?
5
John wants to have a bath which has a capacity of 200 litres.
The cold tap fills at a rate of 20 litres per minute and the hot tap at a rate of 10 litres per minute.
How long will it take to ¾ fill the bath?
50
2.8m
1.8m
1m
3.6m
1m
10m3m
5m
Number Shape, Space and Measures 5 Level
6
Draw accurately an angle of 36º
5
7
Draw accurately an angle of 134º
5
8
Convert the following to kilograms
a) 1234 g = kgb) 45890 g = kgc) 261 g = kg
Convert the following to grams
d) 1.379 kg = ge) 123.4kg = gf) 0.34 kg = g
5
9
Complete:
a) 489 m = km b) 1405 m = km c) 27km = metres d) 0.864 km = metres
5
51
Number Shape, Space and Measures 5 Level10
In the space below, draw a net for a cuboid which measures 5cm by 4cm by 3cm.
6
52
Number Shape, Space and Measures 5 Level11
In the space below, draw a net for this shape. You can make up your own measurements, so long as it would make a triangular prism like the one shown.
6
53
54
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