PRIMARY EDUCATION PACK

PROBLEM SOLVING

www.titanclydebank.com

Titan Problem Solving 1

The above picture represents a section of the Titan Crane. In constructingthis section the materials listed below were used:

2 beams 2 connecting straps4 bolts

If you had 10 beams, 10 connecting straps and 20 bolts, how many sectionscould you make?

If you had 20 beams, 20 connecting straps and 40 bolts, how many sectionscould you make?

If you had 40 beams, 40 connecting straps and 80 bolts, how many sectionscould you make?

List the materials needed to make 120 sections.

TITAN PRIMARY EDUCATION PACK PROBLEM SOLVING

TITAN PRIMARY EDUCATION PACK PROBLEM SOLVING

Titan Problem Solving 2

The above picture represents a section of the Titan Crane. In constructingthis section the materials listed below were used:

2 beams 4 connecting straps8 bolts

If you had 6 beams, 12 connecting straps and 24 bolts, how many sectionscould you make?

If you had 12 beams, 24 connecting straps and 48 bolts, how many sectionscould you make?

If you had 24 beams, 48 connecting straps and 96 bolts, how many sectionscould you make?

List the materials needed to make 144 sections.

TITAN PRIMARY EDUCATION PACK PROBLEM SOLVING

Titan Problem Solving 3

The above picture represents a section of the Titan Crane. In constructingthis section the materials listed below were used:

2 beams 6 connecting straps12 bolts

If you had 8 beams, 24 connecting straps and 48 bolts, how many sectionscould you make?

If you had 16 beams, 48 connecting straps and 96 bolts, how many sectionscould you make?

If you had 32 beams, 96 connecting straps and 192 bolts, how many sectionscould you make?

List the materials needed to make 128 sections.

TITAN PRIMARY EDUCATION PACK PROBLEM SOLVING

Titan Problem Solving 4

James has been asked to paint the Titan Crane! The section shown aboverequires 5 litres of paint.

300 of these sections need painted. If he paints 25 sections per day, howmany days will it take him to paint all 300?

James doesn’t work Saturdays or Sundays. How many weeks will it take him?

If he starts work on Monday the 28th of July, on what date will he finish?

TITAN PRIMARY EDUCATION PACK PROBLEM SOLVING

Titan Problem Solving 5

Mary works at the Titan Crane. She travels by car to her work each day. Mary leaves her home and drives 8km West, 10km North, 12km West and15km South.

She drives at a steady pace of 30km per hour, how long does it take her toreach the Titan Crane?

She leaves her house at 9.05 a.m. What time will she arrive at work?

Mary is trying to do her bit to save the planet and has decided to cycle towork. There is a cycle track which cuts the distance she travels by 20%. Heraverage speed is 10 km per hour. How long will it take her to get to work?

She starts work at 11 a.m. When should she leave the house?

TITAN PRIMARY EDUCATION PACK PROBLEM SOLVING

Titan Problem Solving 6

Titan Crane Ticket Prices

Adult £5.50 Child £3.50 Concession £3.00

Azad wants to visit the Titan Crane. His mum, dad and 2 younger brotherswould like to go along with him.

How much will their outing cost?

When they arrive at the crane Azad spots a sign saying:

Family Ticket Available (Admits 2 adults & 2 children) £15.00

How much will the family save if they buy the family ticket?

TITAN PRIMARY EDUCATION PACK PROBLEM SOLVING

0

20

40

60

80

100

253035

455055

657075

859095

105

51015

DecNovOctSeptAugJuly

No of visitors

June

MONTH

NO

OF

VISITORS

MayAprMarFebJan

Titan Problem Solving 7

Visitors to the Titan Crane

The graph above shows the visitors to the Titan Crane during the year.

1. How many people visited the crane between January and March?

2. How many more people visited in July than in December?

3. During what month did the highest number of people visit the crane?

4. What was the quietest month for visitors to the crane?

5. Why was this?

6. During July 50% of the tickets sold were bought by adults, how muchmoney did this make if each adult ticket cost £5.50?

TITAN PRIMARY EDUCATION PACK PROBLEM SOLVING

TEACHER SHEETTitan Problem Solving 7 Answer Sheet

Month No of VisitorsJan 10Feb 25 Mar 35April 50May 65June 95July 105Aug 85Sept 65Oct 60Nov 35Dec 5

1. 70 2. 100 3. July 4. December 5. Winter weather 6. £555.50

TITAN PRIMARY EDUCATION PACK PROBLEM SOLVING

Titan Problem Solving 8

An engineer wishes to calculate the tension of the cable on the cranewhen different masses are attached.

He obtains the following results:

Mass, KG Tension, N (newtons)

0 0

10 100

20 200

30 300

40 400

50 500

Draw a graph showing these results, putting Mass on the x axis and tensionon the y axis.

What would the tension be if mass was 35kg?

TITAN PRIMARY EDUCATION PACK PROBLEM SOLVING

Titan Problem Solving 9

The lift on the Titan Crane can hold a weight of 150kg.

Primary 5 were on a school outing to the visit the crane. There were 4 adults and the ratio was 1 adult for every 8 children. How many children were there on the trip?

The average weight of each child was 25kg and each adult was 50kg.

How many trips will it take to get all the children and adults to the top of the crane?

TITAN PRIMARY EDUCATION PACK PROBLEM SOLVING

Titan Problem Solving 10

The Titan crane is 45.9 metres high.

In case the lift breaks down there is a staircase.Each stair is 15cm high. How many stairs are there?

The staircase is divided into 3 equal sections. How many stairs would there be in sections one and two?

1/3 of the stairs are slippery and need to be resurfaced. How many stairs are in good condition?

Last week the lift broke down and Sarah the tour guide had to accompanythe visitors up and down the stairs.

She was able to climb 51 stairs in 1 minute how long did it take her to climb to the top?

There were five different groups during that day, how much time did Sarah spend going up and down the stairs?