Chapter 1 Knowledge And Understanding. Non Calculator 1) (2) 2) Evaluate 40% of (2)

Transcription

1 Chapter 1 Knowledge And Understanding Non Calculator 1) () ) Evaluate 40% of () 3) Evaluate ) Evaluate (846 30) 1.09 () 5) Evaluate ) Evaluate () 7) Evaluate () 8) Evaluate 1 1 of ) Evaluate () 10) Evaluate () 11) Evaluate 1.5% of 140 () 1) Evaluate () 13) Evaluate () 14) Evaluate () 15) Evaluate () () () Page 1

2 Chapter 1 Knowledge And Understanding Calculator 16) One atom of gold weighs grams. 17) How many atoms will there be in one kilogram of gold? Give your answer in scientific notation correct to significant figures. E mc Find the value of E when m and Give your answer in scientific notation. () c 18) How many chocpops will be eaten in the year 001? Give your answer in scientific notation? 19) The mass of water on the earth s surface is The total mass of the earth is tonnes tonnes. Express the mass of water on the earth s surface as a percentage of the total mass of the earth. Give your answer in scientific notation. 0) A newspaper report stated : Concorde has now flown miles. This is equivalent to 300 journeys from earth to the moon. Calculate the distance from the earth to the moon. Give your answer in scientific notation correct to significant figures. 1) The annual profit ( ) of a company was What profit did the company make per second? for the year Give your answer to three significant figures. () Page

3 Chapter 1 Knowledge And Understanding ) Large distances in space are measured in light years. A camera on a space telescope photographs a galaxy, a distance of 50 million light years away. One light year is approximately kilometres. Calculate the distance of the galaxy from the space telescope in kilometres. Give your answer in scientific notation. 3) The orbit of a planet around a star is circular. The radius of the orbit is kilometres. Calculate the circumference of the orbit. Give your answer in scientific notation. 4)A spider weighs approximately A humming bird is 18 times heavier kilograms. Calculate the weight of the humming bird. Give your answer in scientific notation. () 5) The total number of visitors to an exhibition was The exhibition was open each day from 5 June to 9 September inclusive. Calculate the aveage number of visitors per day to the exhibition. 6) There are red blood cells in 1 millilitre of blood. The average person has 5.5 litres of blood. How many red blood cells does the average person have in their blood? Give your answer in scientific notation. Page 3

4 Chapter 1 Reasoning And Enquiry Non Calculator 1) Jamie is going to bake cakes for a party. He needs 5 of a block of butter for 1 cake. He has 7 blacks of butter. How many cakes can Jamie bake? ) The ratio of sugar to fruit in a particular jam is 5 : 4. It is decided to: decrease the sugar content by 0% increase the fruit content by 0%. Calculate the new ratio of sugar to fruit. Give your answer in its simplest form. (4) Calculator 3) To make 14 carat gold, copper and pure gold are mixed in the ratio 5:7. A jeweller has 160 grams of copper and 45 grams of pure gold. What is the maximum weight of 14 carat gold that the jeweller can make? 4) School theatre visits are arranged for parents, teachers and pupils. The ratio of parents to teachers to pupils must be 1 : 3 : 15. a) 45 pupils want to go to the theatre. How many teachers must accompany them? K.U.(1) b) The theatre gives the school 100 tickets for a play. What is the maximum number of pupils who can go to the play? 5) A coffee shop blends its own coffee and sells it in one-kilogram tins. One blend consists of two kinds of coffee, Brazilian and Colombian in the ratio : 3. The shop has 0 kilograms of Brazilian and 5 kilograms of Colombian in stock. What is the maximum number of one-kilogram tins of this blend which can be made? Page 4

5 1) Expand and simplify ) Expand fully and simplify 3) Given that x 10x 18 x a b Chapter 3 Knowledge And Understanding (3x 1)( x 5x 4) x( x 1) () find the values of a and b. 4) Solve the equation x x 1 8 5) Simplify 3 x 4 4 3x 1 6) Solve the equation 5 1 3x 7 Page 5

6 Answers To Chapter 1-3 Chapter 1 Knowledge & Understanding 1).491 ).79 3) 1 1 4) ) 5 6 6) 5.8 7) ) 1 6 9) ).88 11) ).77 13) ) ) ) 3.1 x ) 1.08 x ) 5.56 x ).3618 x 10 - % 0).4 x 10 5 miles 1) 101 ) 4.73 x ) x 10 8 km 4) x 10-3 kg 5) ).75 x Chapter 1 Reasoning & Application 1) 17 ) 5 : 6 3) 384 grams 4) a) 9 b) 75 5) 41 Chapter 3 Knowledge & Understanding 1) 3 3x 14x 7x 4 ) 5) 6x 16 6) x 4 3 x x x 3) a 5, b 7 4) x 10 Page 6