The Bar Model Worksheet One: Catering 1. Ruby works in the kitchen of a café. She has responsibility for ordering food and portioning the food out for the various recipes once it arrives. Ruby finds it is quicker to portion food out by eye rather than measuring accurately. a) This cheddar cheese weighs 900 grams. Show where to cut off 600 grams. b) This block of butter weighs 250 grams. Show where to cut off 50 grams. c) The smoked cheese weighs 450 grams. Show where to cut off 200 grams. d) This smoked cheese weighs 800 grams. Show where to cut off 700 grams.
e) This piece of brie weighs 1200 grams. Show where to cut off 900 grams. f) This piece of brie weighs 900 grams. Show where to cut off 100 grams. 2. Sometimes Ruby s café provides outside catering for business lunches. They supply hot water urns, so that people can have access to hot drinks. The hot water urns are similar to the one shown in the picture. Each urn has a vertical gauge that shows how much water is in the urn. When it is full, the urn can supply 120 cups. The pictures show the gauge at various stages of the day (i) For each picture, estimate what fraction of the urn is full. (ii) For each picture, say how many cups of water there are left in the urn.
The Bar Model Worksheet 2: Buying ribbon 3. Louisa is a dress maker. She uses ribbon to edge her garments as a way of making her designs stand out. Louisa buys a sample of the ribbon shown below: a) It costs her 1.16 for 80cm of the spotty ribbon. Draw a picture to represent this information, and make it look realistic. b) What else do you know? Mark on your picture some other quantities of this ribbon, which you would know the cost of. c) How much would it cost to buy 1 metre of the ribbon? 4. The ribbon shown in the picture below is priced at 8.40 for 6 metres a) What else do you know about this ribbon? Draw the ribbon as a bar picture and fill in some other quantities that you know the price of. b) Which of the two ribbons shown above is cheaper?
5. Louise buys samples of 3 more types of ribbon as follows: Sample A 40 cm of this ribbon cost 92p Sample B 60 cm of this ribbon cost 1.32 Sample C 75 cm of this ribbon cost 1.80 a) Draw a bar to represent each sample of ribbon b) What else do you know about each ribbon? Use you bars to fill in some other quantities that you know the price of. c) Which of these three styles of ribbon would work out to be the most expensive?
The Bar Model Worksheet 3: Sharing Food 6. The café where Ruby works specialise in making large rectangular pizzas. These are popular with lunch time diners who often order one of the large pizzas to share. Masood and Tim are students. They meet for a pizza in the café once a week. On one occasion they order the rectangular cheese and tomato pizza shown below costing 10.35. Tim is not as hungry as Masood, so they cut the pizza into 9 slices, Tim eats 4 slices and Masood eats 5 slices. a) Draw a picture to show how they might share out the pizza b) Share out the cost of the pizza between Masood and Tim in the ratio 5 : 4 7. The following week Masood and Tim are joined by Emily. The three students decide to share one of the gigantic seafood rectangular pizzas priced at 16.80. When the pizza arrives Emily cuts the pizza into equal sized slices. Masood eats 4 of the slices, Emily stops after eating 3 slices, Tim ends up having eaten 5 slices. a) Draw a picture to show how they might have shared out the pizza b) Share out the cost of the pizza in proportion with the amount each person has eaten
The Bar Model Worksheet 4: Summary Questions Drawing a bar can be a helpful way to tackle several problems in maths. It provides a way of visualising problems. Draw a diagram to help solve each of these problems 1. A water tank can hold up to 60 litres of water. The gauge on the front of the tank shows that it is full. How much water is currently in the tank? 2. A straight jug can hold up to 300 ml of liquid. Jo wants to make a fruit crush to fill the jug. The recipe says mix 2 parts of orange juice to 3 parts of pineapple juice. How many millilitres of each juice will Jo need? 3. One of the raffle prizes at a school fair is a gigantic bar of chocolate measuring 120cm in length. The prize is won by two friends, Eliza and Shola. They wonder how to share out the prize. Shola thinks it is not right to split it in half because there are only three people in her family whereas there are five people in Eliza s family. Suggest a fair way that they could share out the prize. 4. A car travels 60 miles in of an hour at a steady speed. Draw a bar to represent this information. What is the speed of the car in miles per hour. 5. Bananas are priced at 2.50 per kilogram. Draw a bar to represent this information and use it to work out the cost of 1.2 kilograms of bananas.