www.visuallessons.com year 6: using and applying maths one step word problemsintroduction to algebra...

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Year 6: Using and Applying Maths

One Step Word Problems Introduction to Algebra

Two Step Word Problems I’m thinking of a number

Word Problems with a Calculator

Function Machines

Spelling Dilemma What are the Shapes Worth?

January Sales Nosy Neighbours

Football League Tables Bank Statement

Sports Day Results Real Life: Bureau de Change & Petrol Station

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Action Button (click when it flashes)

Reveal the answer on screen!Launch calculator in new window (needs CD)


One Step Problems

A class contains 25 children. How many children are there in 7 classes?

How many 35p pencils can you buy for £2?

Kim earns £15 each day. How long will it take her to save up £100?

25 children x 7 classes = 175 children

£2.00 ÷ 35p = 5 (25p left)

A film lasts for one hour and 37 minutes. How many minutes is this?

60 minutes + 37 minutes = 97 minutes

£100 ÷ 15 = 7 weeks (£5 left over)


One Step Problems

A square has a perimeter of 20cm. What is the length of each side?

The train leaves at 9:30 and arrives at 11:06. How long has the journey lasted?

For two league games in August, Burney has 7,273 and 8,934 watching. How many people watched both games in total?

20 ÷ 4 = 5cm

1 hour 36 mins

George is a plumber. Taps cost £6.50. How many taps can George buy with £30?

£30 ÷ £6.50 = 4 taps (£4 left over)

7,273 + 8,934 = 16,207 people.


One Step Problems

James has a piece of rope 4 metres long. He cuts off 65cm. How much rope is left?

Adam has £15. He spends £3.85 on a CD, and £5.50 on a t-shirt. How much money has he got left?

Petrol costs £1.15 a litre. How much will 15 litres cost?

£15 - £3.85 – £5.50 = £5.65

It costs 7p a minute to make a call. How much will a 42 minute call cost?

42 minutes x 7p = £2.94

£1.15 x 15 = £17.25

4 metres (400cm) – 65cm = 335cm


Two Step Problems

A laptop costs £450. In a sale there is 10% off. How much is the laptop in the sale?

Jerry collects toy cars. He had 74 but gave 36 to Harry and lost another 12 of them. How many toy cars has he got now?

There are 31 days in March, May and July. There are 30 days in April and June. How many days are there in these 5 months altogether?

10% of £450 = £45. £450 - £45 = £405

74 – 36 – 12 = 26 toy cars

(31 x 3) + 30 + 30 = 153 days


Two Step Problems

Jason earns £4 a day for his paper round, and £3 a day for delivering leaflets. How much has he earned after 4 days?

Sarah gets £2.50 pocket money every week. She saves up for 4 weeks, and gets another £20 for Christmas. How much money has she got altogether?

In a theme park, an adult ticket costs £7 and a children’s ticket costs £5. How much will it cost for 3 adults and 4 children?

(£4 x 4) + (£3 x 4) = £28

(£7 x 3) + (£5 x 4) = £41

(£2.50 x 4) + £20 = £30


Two Step Problems

The RSPCA says it costs £3 per day to keep a cat and £5 per day to keep a dog. Today there are 11 cats and 8 dogs. How much will this cost?

Chester is 32 miles away from Manchester. Llandudno is 51 miles from Chester. How far is Llandudno from Manchester?

Ben has 101 sweets. He gives 15 to Mike, and another 19 to Chloe. How many sweets has he got left?

(11 x £3) + (8 x £5) = £73.

101 – 15 - 19 = 67 sweets

32 miles + 51 miles = 83 miles.


Word Problems Using a Calculator

The Dodgems costs £2.80 a ride. How much will it cost 9 people to have a go?

£2.80 x 9 = £25.20

During the day the temperature was 14.4°. Overnight the temperature dropped by 17.5°. What was the overnight temperature?

14.4° - 17.5° = -3.1°



A book has 324 pages. Vicky is one third of the way through. What page is she on?

324 ÷ 3 = Page 108

In a shop beans cost 32p, but there is a ‘Buy One Get One Half Price’ offer. Mr. Jones buys 4 tins. How much will they cost.

32 + 16 + 32 + 16 = 96p



A car travels 45 miles every hour. How long will it take the car to travel 250 miles?

250 ÷ 45 = Just over 5 ½ hours

One square metre tile costs £4.25. The kitchen is 6m². How much will it cost to tile the kitchen?

£4.25 x 6 = £25.50



It costs £23 to watch Charlton Athletic. In one game, 17,372 watched the match. How much money did Charlton make?

£23 x 17,372 = £399,556

In a travel agent, you can buy $1.85 for every £1. How many $ can you get for £50?

£50 x $1.85 = $92.50


Spelling Dilemma

James scores 7/10

Kyle scores 11/15

Alex scores 6/8

Gita scores 7/9

Cherie scores 4/5

7/10 = 70%

11/15 = 73.3%

6/8 = 75% 7/9 = 77.7%

4/5 = 80%

First, we need to change each score to a %. Click each score to change it to a %

Every week my class do a spelling test. However, different children have a different

number of words for the test. How do I find out who the best speller is?

Best Speller2nd Best Speller

3rd Best Speller

4th Best Speller

5th Best Speller


January Sales

£12

£8

10% Off

£20

£1.60

25% Off

£4.50 £18

£10.80Reveal

Sale Price

£7.20

£4.05

£15

£1.20

£13.50

Reveal Sale Price

Reveal Sale Price

Reveal Sale Price

Reveal Sale Price

Reveal Sale Price


January Sales

£90

£29

£12

30% Off

£15

£9.50

50% Off

£16.50

£63

£20.30

£8.40

£7.50

£8.25

£4.75

Reveal Sale Price

Reveal Sale Price

Reveal Sale Price

Reveal Sale Price

Reveal Sale Price

Reveal Sale Price

Played Won Drawn Lost Goals For

Goals Against

Points

Derby 6 4 1 1 21 14 13

Hull 6 4 0 2 19 15 12

Leeds 7 3 2 3 18 17 11

Bradford 5 3 0 2 19 11 9

Bristol 6 2 3 1 17 12 9

Burnley 7 2 2 3 9 10 8

Liverpool

6 2 0 4 8 12 6

Luton 6 1 3 2 6 13 6

Looking at Football Results

Each team gets:3 points for a win1 point for a drawIf points are level, then it isgoal difference that counts

Reveal PointsReveal PointsReveal PointsReveal PointsReveal PointsReveal PointsReveal PointsReveal Points


Goals Against

Points

Derby 6 4 1 1 21 14 13

Hull 6 4 0 2 19 15 12

Leeds 7 3 2 3 18 17 11

Bradford 5 3 0 2 19 11 9

Bristol 6 2 3 1 17 12 9

Burnley 7 2 2 3 9 10 8

Liverpool 6 2 0 4 8 12 6

Luton 6 1 3 2 6 13 6

Here are the weekend results. Can you update the league table?

Bradford 0-2 Burnley

Bristol 1-1 Luton

Hull 3-1 Leeds

Liverpool 2-1 Derby


Goals Against

Points

Hull 7 5 0 2 22 16 15

Derby 7 4 1 2 22 16 13

Burnley 8 3 2 3 11 10 11

Leeds 8 3 2 4 19 20 11

Bristol 7 2 4 1 18 13 10

Bradford 6 3 0 3 19 13 9

Liverpool

7 3 0 4 10 13 9

Luton 7 1 4 2 7 14 7

Show/Hide New League

Table

Sports Day ResultsHere are the results of a 100m race. Can you put the results in order?

Name Time PositionJoshua 14.42 secs 4th

Peter 13.74 secs 1st

Kayleigh 13.9 secs 2nd

Jessica 15.1 secs 5th

Abdul 15.28 secs 6th

Timmy 16.24 secs 8th

Sarah 15.5 secs 7th

Nick 14.22 secs 3rd

Reveal Position

Reveal Position

Reveal Position

Reveal Position

Reveal Position

Reveal Position

Reveal Position

Reveal Position

How much is one of these items?

4 fountain pens cost £2.40

4f = £2.401 fountain pen costs 60p

3 clocks cost £29.97

3c = £29.971 clock costs £9.99

5 watches cost £54

5w = £54

7 books cost £17.50

7b = £17.50

2 laptops cost £900

2l = £900

1 watch costs £9

1 book costs £2.50

1 laptop costs £450


Thinking of a number!Click on the question to reveal the answer

I’m thinking of a number. I add 25 to my number and get to 170.

What was my number?

I’m thinking of a number. I subtract 1.5 from my number and get to 2.

What was my number?

I’m thinking of a number. I add 0.65 to my number and get to 3.

What was my number?

? + 25 = 170

145 + 25 = 170

? – 1.5 = 2

3.5 – 1.5 = 2

? + 0.65 = 3

2.35 + 0.65 = 3


Thinking of a number!Click on the question to reveal the answer

I’m thinking of a number. I multiply my number by 7 and get to 350.

What was my number?

I’m thinking of a number. I divide my number by 5 and get to 25.

What was my number?

I’m thinking of a number. I multiply my number by 0.5 and get to 60.

What was my number?

? X 7 = 350

50 x 7 = 350

? ÷ 5 = 25

125 ÷ 5 = 25

? X 0.5 = 60

120 x 0.5 = 60


Number MachineClick on the numbers to see what number comes out.

In Out

X 8

5

20

½

7

15

40

160

4

56

120


Number MachineWhat is the operation?

In Out

2

10

5

4

8

10

34

19

16

28

x3 + 4


Number MachineClick on the ‘out’ numbers to see what the ‘in’ numbers were.

In Out

-2.5

1

10.1

5.15

6.5

-5

-1.5

7.6

2.65

4

-7.5


What are the shapes worth?

18

22

16

Each shape is worth a number. The numbers at the end are the totals of the rows and columns. Can you fill in the missing boxes?

19 25 29

25

24

Click the shapes to see what they are worth.

= 4

= 5

= 8

I look out the window

every 45 minutes.

I gaze out every hour

I gaze out every

20 minutes

It is 9:30. When is the first time that all three people will look out of the window together?

It will be 12:30pm!

On Church Street there are 3 houses. Each house has a nosy owner!

Mrs. Turner has 3 children.

Georgina Chloe Simon

Georgina and Chloe weigh 60kg together.

Georgina and Simon weigh 75kg together. Chloe and Simon weigh 65kg together.

35kg25kg

40kg

How much does each child weigh?

Date Withdrawals

Deposits Balance

1st Dec Opening Balance £7

2nd Dec £5 for Next -- £2

7th Dec £5 Cash -- -£3

10th Dec £12 for Game

-- -£15

11th Dec -- £30 £15

13th Dec £3 for School

-- £12

14th Dec -- £100 £112

15th Dec £70 for M & S

-- £42

17th Dec £20 -- £22

21st Dec -- £25 £47

24th Dec £85 Cash -- -£38

27th Dec £50 £12

31st Dec Closing Balance £12

Account Name:

Mr. F. Jones

Sort Code:

20-64-21

Account No.:

43283124

Can you work out the missing amounts?

Reveal Amount

Reveal Amount

Reveal Amount

Reveal Amount

Reveal Amount

Reveal Amount

At The Bureau de Change

Currency £1 buys…

American $ $1.85

Australian $ $2.20

Euros € €1.40

Kate has Australian $100. How much is this worth in £?

Mrs. Green wants to change €200 into £. How many £ can she get?

How many American $ can you buy with £50?

How many Euros € can you get with £150?

$92.50

£142.86

€ 210

£45.45

At The Petrol StationPremium Unleaded

86p a litre

Diesel92p a litre

Super Unleaded 94p a litre

Sam spends £10 on diesel. How many litres is this?

Mrs. King’s car holds 60 litres. How much will it cost to fill with premium unleaded?

Jason puts in 15 litres of super unleaded. How much will this cost?

Kim’s car travels 120 miles with 15 litres of diesel. If she travels 160 miles, how much diesel will she need?

10.87 litres

£51.60

£14.10

20 litres

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