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YEAR 9 NUMERACY – SET 6 3 T:\years357\Tests\0\Test Prep\9N_Prep\0 sets\9N_prep 2010_set 6.fm Answer these questions without using a calculator. Name ........................ ............................................ Date ........................... 1 A square corner measuring x cm by x cm is cut out of this rectangular sheet of paper. Which of these statements is true for the piece of paper that remains? Its area is ab - x 2 and its perimeter is 2 a +2b. Its area is ( ab - x) 2 and its perimeter is 2( a+b). Its area is ab - x 2 and its perimeter is 2( a + b - x). Its area is ( ab - x) 2 and its perimeter is 2 a + 2b - 4x. 2 A straight-line graph goes through the points (0, 6) and (3,0). Which one of these points does this line graph also go through? 3 Which of these expressions is the same as 10 – 3(3 z – 2) ? 4 The difference between two whole numbers is 13. When the two numbers are multiplied together, the result is 30. What are these two numbers? and a b (–1, 4) (1, 5)(2, 4)(4, –2) 21z – 221 z – 14 4 – 9z 16 – 9zYEAR 9 NUMERACY – SET 6 4 T:\years357\Tests\0\Test Prep\9N_Prep\0 sets\9N_prep 2010_set 6.fm 5 A treadmill shows the distance walked by a user and the number of minutes it has taken to cover that distance. The walking speed (in km/hr) of the user is closest to 6 The odd numbers between 10 and 30 are written on cards, one number to a \ card. A card is drawn at random from this set. What is the probabi lity that the card shows a prime number? 7 A school has a total of 1500 students in Years 1 to 12. Three-fifths of the students are in the primary section in Years 1 to 7. 8% of the primary school students are left-handed. The number of left-handed student s in the primary section is 8 The population of Vietnam is approximate ly 4 times the population of Australia. The population of Brazil is approximately 8 times the population of Australia. The population of Australia is approximate ly 5 times the population of New Zealand. About how many times larger than the popula tion of New Zealand is the population of Vi e t n a m ? 02.50 24.00 km 5 6710 3 5 -- - 3 10 ----- - 7 10 ----- - 7 20 ----- - 90 72 56 120 times.