Module 5 Homework 1: Non-Calculator

Homework 9 (Calculator not allowed) Name: 1) These number fans follow a pattern.

th a) Write down the missing number in the 5 fan ...... (1)

b) Write the missing number in the sentence; All of the numbers on the fans are multiples of ...... (1)

2 a) Fill in the digital times for the analogue clocks shown. The first one has been done for you (2) b) How many minutes does it take to get from the time shown on clock A to the time shown on clock B? ...... minutes (1) 3) The cards show three months of the year. Write the months in size order starting with the shortest.

...... (1)

4) Look at the diagrams; a) Which fraction is bigger;   Both the same  (1)

b) Complete the sentence by ticking the correct box;

is (1)

5) Look at this graph. a) How many rounds of the spelling bee were there in 2003? ...... (1) b) In which years were there 3 rounds in the spelling bee? ...... and ...... (2)

6) Complete each of the following calculations with the correct operation or number.

a) 8 + = 13 (1) b) 4 5 = 20 (1)

c) – 3 = 9 (1) d) 4 4 = 1 (1)

63 + = 100 (1) 400 ÷ = 100 (1) 85 × 2 – = 100 (1)

2) The tables show information about 5 students

3) In these number pyramids, you multiply two numbers to work out the number that goes on top. a) The first pyramid has been completed for you. b) Complete the two number pyramids in 2 different Complete the second number pyramid. ways so that all boxes contain whole numbers

1 8 3 6 1 3 2

4) A shopkeeper stacks tins. In each layer there are the same number of tins. The diagram shows a layer.

b) The shopkeeper stacks 72 boxes in layers. In each layer, there are 9 boxes. How many layers high is the stack? ...... (1)

5) Work out each of the following showing full workings.

a) 436 + 389 b) 320 – 37 c) 47 × 7 d) 136 ÷ 4

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...... Homework 9 (Calculator not allowed) Name:

(1) (1) (1) (1)

1) The diagram shows a small box. The length is 4.7 cm, the width is 3.2 cm and the height is 2.5 cm. a) Two boxes are joined together in different ways. Fill in the missing values.

Length = ...... cm Width = ...... cm Height = ...... cm (3) b) How many match boxes would be in a pile that is 25 cm high?

...... (1)

2 a) A sheet of paper is folded as shown; b) The shapes below have been folded along Circle the shape that the folded sheet a line of symmetry. The dashed line is the would form. fold line. Draw each shape before folding.

3) A car costs £3450. Henry pays £2820 now and then pays the rest in three equal payments. How much does he pay in each payment? Show your working.

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...... (2) 4) The diagram shows some shapes on a centimetre square grid.

...... times bigger (1) 5) The bar chart shows the number of children who attend a gym club in a week. a) On which day did most children attend the club?

...... (1)

c) How many children attended the club on Thursday? ...... (1) 1) A bag contains coloured counters. There are 12 blue counters, 13 red counters, 4 green counters and 1 yellow counter. Altogether there are 30 counters. A counter is removed from the bag at random.

a) What is the probability that the counter is yellow? ...... (1)

b) What is the probability that the counter is blue? ...... (1)

c) What is the probability that the counter is not green? ...... (1)

2) The average cost of a house in 1970 was £14 000. The average cost of a house is now 23 times as much.Work out the average cost of a house now.

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...... (2) 3) One way to make a magic square is to substitute numbers into the algebra grid.

4) The diagram can help work out fraction calculations. Calculate each of the following.

a) = (1) b) – = (1) c) = (1)

5) The graph shows excess charges for bags which are over the weight limit at the airport. Homework 9 (Calculator not allowed) Name:

1) A function maps the number n to the number n - 2 a) Complete the missing values in the table.

b) A different number maps the number n to the number 3n Complete the missing values in the second table.

c) Give two different functions which map the number 20 onto the number 4.

...... and ...... (2)

2) Here is cuboid A; a) Work out the volume: ...... (1)

b) Cuboid B is formed using the same number of cubes. Which cuboid has the greatest surface area? Cuboid A Cuboid B Both the same (1)

c) How many of cuboid A make a cube of dimensions 4 × 4 × 4? ...... (1)

3) The shapes are drawn on square grids. Decide whether each statement is True or False and explain each answer.

a) Shape A is an equilateral triangle b) Shape B is a kite c) Shape C is a square True  False  True  False  True False 

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5 a) Calculate (1)

b) Three fifths of the members of a club are male. of these males are under 30 years old. What fraction of the members of the club are males under 30 years old?

...... (2) 1) Rearrange the equation to make t the subject. 3(2 + t) = r

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...... t = ...... (2)

2) Two people, Sam and Tim, travel from A to B along different routes. Their journeys take the same amount of time. Sam travels at an average speed of 40 km/h. What is Tim’s average speed?

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...... (2)

3) Multiply out the expression (y + 3) (y + 7)

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...... (2)

4) I have two fair 4-sided dice. One dice is numbered 2, 4, 6 and 8 and the other is numbered 3, 4, 5 and 6.

a) Circle the solid which describes each dice. Tetrahedron Cube Square-based pyramid Octahedron (1)

b) Both dice are thrown and the scores are added. Work out the probability that the total is even.

......

...... (2)

5) A recipe for 1 litre of a fruit drink contains litre of apple juice, litres of raspberry juice and litres of pineapple juice. Work out the proportions needed to make 1½ litres of the same fruit drink and fill in the table.

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...... (2)

6) Think about triangles that have a perimeter of 15 cm, two or more equal sides and each side is a whole number of centimetres. Prove that there are only 4 of these triangles.

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...... Homework 9 (Calculator not allowed) Name:

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...... (3)

7) Write 2,034,000 in standard form ...... (1) 1 a) Write down the values of a and b in each of the equations; 96 = 3 × 2a and 60 × 32 = 3 × 5 × 2b

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a = ...... (1) b = ...... (1)

2) The chart shows the ages of the world’s population in 2000. It also shows the prediction of the world’s population in 2050. a) Decide if the following statement is true or false. The percentage of the population aged under 20 is expected to be about the same in 2050 as it was in 2000.

True False Not enough information (1) b) Approximately, what is the total percentage increase from 2000 to 2050 in the total world population?

...... (1)

3) Match each graph to the correct equation. (2)

A B C D E

4) I start with any two consecutive integers. I square each of them then add the two squares together. Prove that the total must be an odd number.

......

...... (3)

5) is equal to 0.0004. Work out and write your answer in standard form.

......

...... (3)

6) Rearrange the formula to make t the subject: 4(t – 1) =

......

t = ...... (3)