Globe Academy Mathematics Department

Transcription

1 Globe Academy Mathematics Department Home Learning Booklet Year 10 Aut II Name: Teacher: Develop a passion for learning. If you do, you will never cease to grow. Anthony J. D'Angelo

2 Week 1 1. Here is a rectangle. 10 cm 20 cm Diagram NOT accurately drawn Work out the perimeter of the rectangle.... cm Work out the area of the rectangle.... cm 2 2. Here is a trapezium. 6 cm 5 cm 10 cm Diagram NOT accurately drawn Work out the area of the trapezium.... cm 2

3 3. What is the area of this shaded shape? 6 cm 4 cm 3 cm 2 cm Diagram NOT accurately drawn 4. 4 cm 2 cm 10 cm 4 cm 2 cm Diagram NOT accurately drawn 4 cm 2 cm 8 cm The diagram shows 3 small rectangles inside a large rectangle. The large rectangle is 10 cm by 8 cm. Each of the 3 small rectangles is 4 cm by 2 cm. Work out the area of the region shown shaded in the diagram. cm 2

4 Week 2 1. Mr Brown owns a café in the town centre. He wants to find out what people think of the service in the cafe. He uses this question on his questionnaire. What do you think of the service in the cafe? Excellent Very good Good Write down one thing that is wrong with this question Mr Brown wants to find out how often people visit the town centre. Design a suitable question for his questionnaire to find out how often people visit the town centre. You must include some response boxes. 2. Melanie wants to find out how often people go to the cinema. She gives a questionnaire to all the women leaving a cinema. Her sample is biased. Give two possible reasons why

5 3. Phillip is going to carry out a survey of the football teams supported by each of his friends. In the space below, draw a suitable data collection sheet that Phillip could use. 4. Poppy wants to find out for how much time people use their computer. She uses this question on a questionnaire. For how much time do you use your computer? 0 1 hours 3 4 hours 1 2 hours 4 5 hours 2 3 hours 5 6 hours Write down two things that are wrong with this question Poppy gives her questionnaire to all the students in her class. Her sample is biased. Give one reason why

6 Week 3 1. Some bulbs were planted in October. The ticks in the table shows the months in which each type of bulb grows into flowers. Type of bulb Allium Crocus Daffodil Iris Tulip Month Jan Feb March April May June In which months do tulips flower? Which type of bulb flowers in March? (c) In which month do most types of bulb flower? (d) Which type of bulb flowers in the same months as the iris?.... (Total 4 marks) 2. Bob asked 100 adults which one type of music they enjoyed. They could choose Jazz or Rock or Classical or Folk music. The two-way table shows some information about their answers. Jazz Rock Classical Folk Total Men Women 23 Total Complete the two-way table. (3)

7 3. Here is a bar chart showing the number of hours of TV that Helen and Robin watched last week Hours of TV watched last week Number of hours Helen Robin 0 Sunday Monday Tuesday Wednesday Thursday Friday Saturday Day Write down the number of hours of TV that Helen watched on Monday. hours On which day did Helen and Robin watch the same number of hours of TV? (c) (i) Work out the total number of hours of TV that Robin watched on Friday and Saturday. hours (ii) Who watched the greater number of hours of TV on Friday and Saturday? Show your working. (3) (Total 5 marks)

8 Week 4 1. Sophie asked the students in her class how they travelled to school. The bar chart shows some information about the results, for everyone in Sophie s class. 12 Frequency Walk Cycle Car Bus 4 students travel to school by car. 7 students travel to school by bus. Complete Sophie s bar chart. How many students in Sophie s class cycle to school?... (c) Which method of travelling to school is used by the greatest number of students in Sophie s class?... (d) Work out the total number of students Sophie asked. 2. The pictogram shows the number of plates sold by a shop on Monday, Tuesday, Wednesday and Thursday of one week.... (Total 5 marks) Monday Tuesday Wednesday Thursday Friday Saturday Key: represents 10 plates

9 Work out the number of plates sold on Monday.... b) Work out the number of plates sold on Tuesday.... The shop sold 40 plates on Friday. The shop sold 25 plates on Saturday. (c) Use this information to complete the pictogram. (Total 4 marks) 3. José is in hospital. Here is his temperature chart during one day am Time pm At what time was José s temperature 39.0 C?... What can you say about José s temperature from 6 am to 6 pm?...

10 Week students take a science test. The test is marked out of 50. This table shows information about the students marks. Science mark Frequency On the grid, draw a frequency polygon to show this information Frequency Science mark 2. Mirror line Reflect the shaded shape in the mirror line.

11 Draw the line of symmetry on this triangle. 3. Here is a rectangle. Write down the order of rotational symmetry of the rectangle.. 4. On the rectangle, draw all the lines of symmetry. Shade one more square to make a pattern with 1 line of symmetry. Shade one more square to make a pattern with rotational symmetry of order 2

12 Week 6 1. Here are 8 shapes. A B C D E F G H Write down the letters of two different pairs of congruent shapes.... and and Simplify q + q + q + q. Simplify 7x + 3y + 2x 2y.

13 3. Andrew, Brenda and Callum each collect football stickers. Andrew has x stickers. Brenda has three times as many stickers as Andrew. Write down an expression for the number of stickers that Brenda has.. Callum has 9 stickers less than Andrew. Write down an expression for the number of stickers that Callum has.. 4. Write down and simplify an algebraic expression for the perimeter of this triangle. Write down and simplify an algebraic expression for the perimeter of this rectangle. (Total 4 Marks)