S1BGE

MATHEMATICSHOMEWORK BOOKLET

Name: _________________________

Page No: Contents:

Sections

1

Page 3 TimePage 5 Fractions, ratios and percentagesPage 6 Number estimationPage 7 Ordering and writing numbers in digits and wordsPage 9 MoneyPage 11 ShapesPage 14 Measurement Page 16 Decimals

SECTION - TIMERemember to show all working

Q1. Write the following times in 24-hour format (remember to note whether it is am or pm)(a) 3.10pm ______________(b) 4.05am ______________(c) 11.25pm ______________

2

(d) 12.16am ______________

Q2. Karen has to get the bus at 5.40pm. She arrives at the cinema at 6.30pm. How long did her bus journey take?

________________________________________________

Q3. A film starts at 19:30 and finishes at 22:00

(a) How long is the film? (Write your answer in hours and minutes)

(b)If another film started at the same time but lasted for 3 hours and how much longer is that film?

(c) At what time would the second film finish?

Q4. If a plane can fly at 240km/hour, how far can it travel in 3 hours?

Q5. Jimmy walks to work at a speed of 3mph. How far does he walk in 2 hours 30 minutes?Q6. Jenna’s flight leaves Edinburgh airport at 20:00, last check in is an hour before the flight departs. What is the latest possible time that she can check in?

Q7. Carla leaves Edinburgh at 9am, she drives for 2 hours and then takes a break for 20 minutes, she then travels for another 2 hours then arrives in Inverness. What time does she arrive in Inverness?

3

Section - Fractions, Decimals, Ratios & PercentagesRemember to show all working

Q1. Work out the following:(a) 1/2 of 50 (b) 1/3 of 36

Q2. What fraction of each shape is coloured in?

Q3. Jamie had a bag of 120 marbles, he wants to share them with his four friends, how many marbles does each person get?

4

Q4. Write the following decimals as fractions and as percentages:

(a) 0.34 (b) 0.05 (c) 0.42 (d) 1.25 (e) 0.24

Q5. Write 80% as a fraction. Hence or otherwise, calculate 80% of 950

Q6. Dennis is mixing cement. In order to make a batch of cement, you need to mix sand, lime and cement mix in the ratio 2:1:3 and then add water. If Dennis is adding 12kg of sand to his cement, how much lime and cement mix is he using?

Section – Number EstimationRemember to show all working

Your teacher may allow you a calculator on completion of the homework to check answers

Q1. Look at this part of a number line. What is 13 rounded to, to the nearest 10?

Q2. Round each of these numbers to the nearest 10:

(a) 52 (b) 89 (c) 356 (d) 725.

Q3. Copy and complete the following estimations to find the answers -

e.g. 137 + 329 is about the same as 140 + 330.... which is about 470

(a) 246 + 322 =(b) 512 + 198 = (c) 998 + 201 =

Q4. Jane had 460 stickers in her “Monsters” sticker collection. She gave away 190 to her friend Gemma. How many stickers she had left?

5

Q5. Marvin and Elsie completed a sponsored jog for charity. Marvin collected £318 and Elsie collected £103. Estimate to the nearest £10 how much they collected altogether.

Q6. Alice, Nicola and Lynne won £229 each on the Lottery. By rounding, estimate to the nearest £10 how much this was altogether.

Q7. A fence was 500 cm long. During a winter storm, a section 197 cm long, was blown down. Estimate what length remained standing.

Section – Ordering and Writing numbers in digits and words

Remember to show all working

Q1. Write these numbers using digits:(a) thirty-two (b) one hundred and seventy-five (c) two thousand and three (d) nine thousand and sixty.

Q2. Write these numbers in words:(a) 73 (b) 329 (c) 678 (d) 6040.

Q3. Write the number that comes:(a) just after 129 (b) just before 700 (c) ten after 840 (d) 10 before 1000 (e) 100 after 7200 (f) 1000 before 8700.

Q4. What does the digit 8 stand for in the number (tens, hundreds, thousands)?

(a) 287 (b) 1817 (c) 8765

Q5. Re-write these numbers in order. Start with the smallest:

239, 198, 302, 551, 189, 320.

6

Q6. Put these numbers in order, starting with the largest:

4892, 4971, 5002, 5020, 4992.

Q8. Raffle tickets are sold in strips of 5. Ben bought the strip with the numbers 1511, 1512, 1513, 1514 and 1515.

(a) Lucy bought the strip just before the one Ben bought. What were the five numbers on Lucy’s strip of tickets?

7

Section – MoneyRemember to show all working

(You can use a calculator to help you)

Complete the following by filling in the missing words:Q1. Jack got some money as a birthday gift from his grandparents. He wants to save this money in a financial institution such as a ____________or a _____________________. If he puts his money there, he will earn ____________ on it.

Q2. Sara has a part – time job in a local shop. She earns a basic wage of £6.50 per hour.If Sara works for 12 hours a week on this rate of pay, she will earn _______________. If she has to pay 10% of her total pay towards Tax, she will have to pay ______ in tax and will have __________ of her wages left.

Some other weekly deductions also come off her pay. These deductions include ________________ and _______________________.

Q3. Last week Jack worked 15 hours at the basic rate of £8.00 per hour. He also worked 4 hours overtime which he gets paid double time for. This means that Jack’s pay was __________.

Q4. Bill has a girlfriend called Isabelle. Isabelle loves perfume and Bill wants to buy her some for her birthday. The perfume she wants costs £60. If Bill can save £5 a week, he will need to save for _____ weeks to afford the perfume. If the perfume goes on sale for half the price, how many weeks would it take to save instead?

8

Q5. Ella sometimes sells clothes on Ebay to get extra money. If she had previously bought a jumper for £18 and then sold the jumper for £25 later on Ebay, she would have made a ____________ of _________ .

Extension task – Think of 3 items you would like to save up for. Find out the price then state how much each week and for how many weeks you need to save for below.

Section – ShapesRemember to show all working

9

Complete these sentences by filling in the blanks:

10

Q1. The corner of a shape is called a ______________.

Q2. A 2D shape is ____________________ . Some examples of 2D shapes are___________, _______________ and ___________.

Q3.A 3D shape is any shape that you can __________________. A cube is a special type of 3D shape as all its faces and sides are ____________ in size. Examples of 3D shapes are ____________, _____________ and ___________.

Q4. A triangle is a 2D shape that has ___ sides and____ corners. There are different types of triangle. One that has all equal sides and angles is

called an _________________ triangle. An isosceles triangle has ____ equal sides and one line of symmetry. A triangle that has a 900 angle in it is called a _______________________ triangleand a triangle that has 3 sides of different lengths is known as a _____________ triangle.

Q5. Name the following shapes:

(a) (b) (c)

(d) (e) (f)

11

Q6. What is the name given to a shape with seven sides? ____________________

Section – MeasurementRemember to show all working

Q1. Covert mm to cm using decimal notation

12

In 1 cm there is 10 mm 1cm = 10mmIn 1 metre there are 100 cm 100 cm = 1 metre

In 1 kilometre there are 1000m 1 km = 1000m

 23mm = 2.3 cm 46mm = cm  89mm = cm   97mm = cm  127mm = cm  147mm = cm  457mm = cm  278mm = cm  268mm = cm  653mm = cm 

Q2. The length of the games hall would be measured in:

(a) centimetres (b) metres (c) millilitres

Q3. The distance between Edinburgh and Glasgow would be measured in:

(a) metres (b) centimetres (c) kilometres

Q4. The volume of water in a swimming pool is measured in:

(a) kilogrammes (b) kilometres (c) litres

Q5. Draw the following 2D shapes as accurately as you can using the measurements given.

Square – length 2cm, Width 2cm

Rectangle – length 4cm, Width 3cm

Rectangle - length 7 cm, width 5cm.

Square – length 3.5cm, Width 3.5 cm

13

Section – DecimalsRemember to show all working

Round each number to the nearest tenth.

1 ) 3.23 ________________________

2 ) 8.52 ________________________

3 ) 1.39 ________________________

4 ) 2.44 ________________________

5 ) 9.83 ________________________

6 ) 5.34 ________________________

7 ) 7.95 ________________________

8 ) 1.66 ________________________

9 ) 4.22 ________________________

10 ) 9.85 ________________________

Round each number to the nearest tenth.

1 ) 2.569 ________________________

14

2 ) 4.678 ________________________

3 ) 2.868 ________________________

4 ) 4.974 ________________________

5 ) 7.525 ________________________

6 ) 3.827 ________________________

7 ) 8.558 ________________________

8 ) 1.723 ________________________

9 ) 3.418 ________________________

10 ) 9.319________________________

15