module 5 homework 1: non-calculator - dls · web view3 b) the angles in shape a add up to ......
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Homework 11 (Calculator not allowed) Name: 1) The image shows part of Jack’s calendar.
a) Which day of the week is 4th March? ............................................ (1)
b) Jack has shaded some days in his calendar. How many days have been shaded?
..................................................................................................................... days (2)
2) Select an appropriate unit of measure from the box below to measure each of the following:
a) The length of an arm ........................................ ... c) The time taken to run 100 metres ........................................ ...
b) The weight of a bus ........................................ ... d) The length of an ant ........................................ ...
. Grams Centimetres Metres Tonnes Pounds Millimetres Minutes Seconds . (2)
3) Ben earns £10 pocket money each week. He saves his money for three weeks and then buys a CD costing £12. Work out how much money he has left over. Show full working.
........................................................................................................................................................................................................................................
............................................................................................................................................................. answer: £ ...................................... (2)
4) The clocks show the time at the beginning of a lesson, and the time at the end of a lesson.
a) How long does the lesson last? .................................. minutes (1)
b) Lunch time starts 1 hour and 30 minutes after the end of the lesson. What time does lunchtime start?
.................................................. (1)
5) Insert the correct operation to make each of the statements correct
a) 31 .............. 6 = 25 (1) b) 8 .............. 2 = 4 (1) c) 3 .............. 3 = 9
6) The diagram shows Shape A. Shape A has been rotated to form Shape B. Complete each of the sentences below by selecting the appropriate word.
a) Shape A has been rotated 90o ..................................................... (clockwise / anticlockwise) to form Shape B.
b) The angles in Shape A add up to .................................................. (180o / 360o)
c) Shape A is a .................................................. triangle (scalene, isosceles, equilateral) (3)
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A
B
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Homework 11 (Calculator not allowed) Name: 1) The table shows information about the average hand span of students in different year groups.
a) What is the average hand span of girls in Year 8?
.......................................................... cm (1)
b) How much wider is the average hand span of boys in Year 7 than the hand span of girls in Year 7? ......................................................... cm (1)
2 a) Write numbers in the boxes to make correct calculations. You must use different numbers each time.
× = 32 × = 32 × = 32 (2)
b) Write a number between two thousand and two thousand one hundred in figures ...................................... (1) c) Write a positive decimal number that is less than 1 ..................................... (1)
3) Here are diagrams of 3D shapes.
A B C D E a) Write down the letter of the shape which has two triangular faces and 3 rectangular faces ..................... (1)
b) Which two shapes have 5 faces? ......................... and ........................ (1)
4) Here are three number cards:
Write down the smallest and the largest 3 digit values which can be made from the number cards.
Smallest: Largest: (2)
5 a) Reflect each of the shapes in the mirror lines. b) Draw two different rectangles each with an area of 12 squares in the space below
(2) (1)
6) Helen buys a doughnut costing £0.79 and a can of fizzy orange costing 85p. How much change does she get from a £5 note?
....................................................................................................................................................................................................................................................
Answer: .......................................................................... (2)
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Year group Boys (cm) Girls (cm)7 12.5 11.58 14 129 14.5 1310 16 14.5
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4
2
64 7
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Homework 11 (Calculator not allowed) Name:
1) Write the missing numbers on each number line:
(4)
2) Work out the shaded area in each diagram shown.
a) b) c)
3) Work out each of the following showing full working.
a) Add together 4.3 and 6.8 b) Subtract 4.4 from 11.2 c) Multiply 147 by 3 d) Divide 272 by 8
.......................................................... ......................................................... .................................................... ....................................................
.......................................................... ......................................................... .................................................... ....................................................
.......................................................... ......................................................... .................................................... ....................................................
.......................................................... ......................................................... .................................................... ....................................................
.......................................................... ......................................................... .................................................... ....................................................
4) a) Here is a speedometer from a car. Complete the sentence;
The car is travelling at ...................... miles per hour (1)
b) How many metres are in 1 mile? Put a ring around the number which is the closest to the correct answer.
100 200 500 1000 1500 2000 10000 (1)
5) There are three children in the Wilson family. The range of their ages is exactly 6 years. The middle child is aged 10. What could the ages of the youngest child and the oldest child be?
Youngest child: ................................. years old Oldest child: ................................. years old (1)
6) Write these fractions in size order, starting with the smallest:
34
38
13
35 (2)
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412 52 -2
+45 +19 +7 +7
Area = ………………. cm2 Area = ………………. cm2Area = ………………. cm2
2
4
2
1
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Homework 11 (Calculator not allowed) Name:
1) Complete each of the sentences:
....................................... out of 10 is the same as 30% (1) 5 out of 20 is the same as .................................... % (1)
....................................... out of ...................................... is the same as 5% (1)
2) The diagrams below show a rectangle that is rotated, then rotated again with the centre of rotation;
Use the centre of rotation marked to rotate the triangle and then rotate it again. (2)
3) I am thinking of a number. If my number is multiplied by 23 I get 437. If my number is multiplied by 25, I get 475. What is my number? ..................................................................
................................................................................................................................................................................................................................ (2)
4) Here are three number cards:
a) Work out the value of x such that the mean of the numbers is 8 ......................................................................................
.......................................................................................................................................................................................................................................... (1)
b) Explain why the median of the three numbers will always be 7 ......................................................................................
.......................................................................................................................................................................................................................................... (1)
c) Four numbers have a mean of 5 and a median of 5. None of the numbers is 5. What could the four numbers be? (1) Give an example.
5) Work out the sizes of angles x, y and z in the diagram showing triangle ABC.
........................................................................................................................................................................................
x = ................................. (1) y = ................................. (1) z = ................................. (1)
6) Solve each of the equations.
a) 5x + 2 = 17 b) 22 = 3y + 1
............................................................................................................ ................................................................................................................
............................................................................................................ ................................................................................................................
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Rotate 90o clockwise
Rotate 90o clockwise again
Rotate 90o clockwise
Rotate 90o clockwise again
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7 7 x
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30o
20o
z
yx
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Homework 11 (Calculator not allowed) Name: ............................................................. x = .............................. (1) ................................................................. y = ......................... (1)
1) The diagram shows two lines, MN and AB. P is the midpoint of AB and Q is the midpoint of MN. a) What are the coordinates of point P? ( ......... , ......... ) (1)
b) What are the coordinates of M and N?
M is ( ......... , ......... ) N is ( ......... , ......... ) (2)
2) The diagram shows a square. Two straight lines cut the square into four rectangles. The area of one of the rectangles is shown. Work out the area of the rectangle marked with an X.
............................................................................................................................................................................
......................................................................................................................................................... (2)
3 a) Two numbers multiply to make zero. Tick the true statement below. Both numbers must be zero At least one number must be zero Exactly one number must be zero (1)
b) Two numbers add to make zero. Neither number is zero; give an example of what the two numbers could be. ............................ and ............................ (1)
4) How many sixths are there in one third? ..............................................................
Now work out 23 ÷
16 .......................................................................................................................................................................... (2)
5) Solve this equation: 50 + 3m = 25 – 3m
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............................................................................................................................................... m = ............................................................. (2)
6) This shape has been made by two congruent isosceles triangles. Work out the size of angle p.
7) Three values have a mean of 20. Two of the numbers are equal. The largest number is equal to the sum of the other two. Work out the size of the three values.
.........................................................................................................................................................................................................................................................
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3x
y
A
B
M
NO
P
Q (20, 30)10
10
5 cm
2 cm
X
14 cm2
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2
2
25o
25o
p………………………………………………………………………………………………………………………..
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…………………………………………………………………………………………………….. (2) 2
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Homework 11 (Calculator not allowed) Name:
................................................................................................................................... answer = ................. ................... .................. (2)1) The graph shows the straight line with equation y = 2x – 4
a) A point on the line has the x coordinate of 100. What is the y coordinate of this point?
...................................
b) A point on the line has the y coordinate of 100. What is the x coordinate of this point? ...................................
2) Here is an equation x y=64 Give four different pairs of values which satisfy this equation.
First pair Second pair Third pair Fourth pairx
y
3) To the nearest percent, 16 is 17%. Henry thinks that therefore, to the nearest percent,
26 must be 34%.
Show that Henry is wrong.
................................................................................................................................................................................................................................. (1)
4) The diagram shows the mean sea level measured at various points around the World.
a) Describe the type and strength of correlation shown.
......................................................................................................................... (2)
b) Estimate the lowest mean sea level recorded after 2003. ......................................................................................................................... (1) 5) Here is a triangle. Explain why a2+b2 does not equal c2
....................................................................................................................................................
................................................................................................................................................... (1)
6) Carrie buys 20 boxes of smarties with 18 smarties in each packet. She counts the total number of blue smarties as 60. Use her results to work out the probability of choosing a blue smartie from a box.
...................................................................................................................................................................................................................................... (2)
7) Solve these two simultaneous equations using an algebraic method (you must show full working). 4x + y = 19 and 2y – x = 11
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2y axis (x = 0)
x axis (y = 0)
-4
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a
b
c
25o
75o
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Homework 11 (Calculator not allowed) Name: ..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
............................................................................................................................................................... x = ............... y = ..................1)
18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
a) Explain how we know that the range of both sets of results is the same. ............................................................................................................................................................................................................................................. (1)
b) Which group has the largest interquartile range? Explain your answer:
Group A Group B .......................................................................................................................................................................... (1)
c) Peter says that the box plots show that at least one person in both groups drew a line of exactly 30 mm. Explain whether you agree or not with Peter.
................................................................................................................................................................................................................................. (2)
2 a) Show that (3 × 109) × (6 × 105) = 1.8 × 1015
................................................................................................................................................................................................................................................. (1) b) Work out (3 × 109) ÷ (6 × 105). Write your answer in standard form.
..........................................................................................................................................................................................................................................................
...................................................................................................................................................................................................................................... (2)
3) Fred has a data set of 100 values. The range of the values is 25, the median of the data set is 60 and the mean is 65. The largest value is increased by 300. Work out the new range, median and mean.
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
Range = ....................................... Median = ........................................ Mean = ...........................................
4) a and b are numbers where a = b + 2. The sum of a and b is equal to the product of a and b. Show that a and b are not integers.
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5) To change temperatures measured in oC to oF you can use an exact formula or an approximate formula.
Exact Formula: F = 9 c5
+32 Approximate Formula: F = 2C + 30
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Group AGroup B
Two groups of people were asked to draw a straight line of 30 mm in length without using a ruler. The box plots summarise the two sets of results.Length (mm)
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Homework 11 (Calculator not allowed) Name: At what temperature in oC do these formulae give an equal value for F? Use an algebraic method.
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