PRIMARY EDUCATION PACK PROBLEM SOLVING

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1 PRIMARY EDUCATION PACK

2 Titan Problem Solving 1 The above picture represents a section of the Titan Crane. In constructing this section the materials listed below were used: 2 beams 2 connecting straps 4 bolts If you had 10 beams, 10 connecting straps and 20 bolts, how many sections If you had 20 beams, 20 connecting straps and 40 bolts, how many sections If you had 40 beams, 40 connecting straps and 80 bolts, how many sections List the materials needed to make 120 sections.

3 Titan Problem Solving 2 The above picture represents a section of the Titan Crane. In constructing this section the materials listed below were used: 2 beams 4 connecting straps 8 bolts If you had 6 beams, 12 connecting straps and 24 bolts, how many sections If you had 12 beams, 24 connecting straps and 48 bolts, how many sections If you had 24 beams, 48 connecting straps and 96 bolts, how many sections List the materials needed to make 144 sections.

4 Titan Problem Solving 3 The above picture represents a section of the Titan Crane. In constructing this section the materials listed below were used: 2 beams 6 connecting straps 12 bolts If you had 8 beams, 24 connecting straps and 48 bolts, how many sections If you had 16 beams, 48 connecting straps and 96 bolts, how many sections If you had 32 beams, 96 connecting straps and 192 bolts, how many sections List the materials needed to make 128 sections.

5 Titan Problem Solving 4 James has been asked to paint the Titan Crane! The section shown above requires 5 litres of paint. 300 of these sections need painted. If he paints 25 sections per day, how many 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?

6 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 and 15km South. She drives at a steady pace of 30km per hour, how long does it take her to reach 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 to work. There is a cycle track which cuts the distance she travels by 20%. Her average 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?

7 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 brothers would 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) How much will the family save if they buy the family ticket?

8 Titan Problem Solving 7 Visitors to the Titan Crane No of visitors N O O F V I S I T O R S Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec MONTH 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 much money did this make if each adult ticket cost 5.50?

9 TEACHER SHEET Titan Problem Solving 7 Answer Sheet Month No of Visitors Jan 10 Feb 25 Mar 35 April 50 May 65 June 95 July 105 Aug 85 Sept 65 Oct 60 Nov 35 Dec July 4. December 5. Winter weather

10 Titan Problem Solving 8 An engineer wishes to calculate the tension of the cable on the crane when different masses are attached. He obtains the following results: Mass, KG Tension, N (newtons) Draw a graph showing these results, putting Mass on the x axis and tension on the y axis. What would the tension be if mass was 35kg?

11 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?

12 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 accompany the 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?

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