5 Write 18.766 correct to (a) 1 decimal place, (b) 2 significant figures. 8 — The time, f seconds, that Jade takes to run a race is 14.3 seconds, correct to 1 decimal place. Complete this statement about the value of i 11 (a) Wiite the fraction 30 in its lowest terms. 1) (b) Complete this table. Fraction Decimal Percentage noe = 100 . 2] 12 Without using a calculator, work out | x15 Write down all the steps of your working and give your answer as a fraction in its lowest terms, BY)1B v3 343 - 0.4 From this list of numbers, write down (a) a cube number, (b) the smallest number, (©) natural number. 2 One day, at noon, in Maseru, the temperature was 17°C. At midnight the temperature was 20°C lower. Work out the temperature at midnight. 4 Write 5.17x 10° as an ordinary number. 5 Write the following in order of size, starting with the smallest. 31 : 8 cy 64% 8 0.63 cee Sales 25 i a A6 Araxi journey costs $4.50, plus 80 cents for each kilometre travelled. Julianna travels 7km. Work out the cost of her journey. 8 (a) Land 12 are factors of 12. Write down all the other factors of 12. (b) Write down the multiples of 9 between 20 and 40. 10 Write $5 as a percentage of 2.2kg. 14 The length, / metres, ofa ship is 362m, correct to the nearest metre. Complete the statement about the value of /. 2 Oo % [2] we SS20 (a) Write 4 as a mixed number. (b) Without using a calculator, work out 4+ Show all the steps of your working and give your answer as a fraction in its lowest terms, R) 2 — Work out 16% of $525 on (a) Write down the number the arrow is pointing to on this scale. (b) Write these numbers in order of size, starting with the smallest. 0.42 0.06 0s 0.078 smallest7 Complete the table. Fraction Decimal Percentage i 9 4 25% 08 7 Complete the table, Fraction Decimal Percentage 1 9 + 25% 08 12 _Adilla invests $1200 at a rate of 2.6% per year compound interest. Calculate the value of her investment at the end of 2 years. 21 Ri [2]13 The table shows the temperature at midday in some cities on Ist February. City Temperature Berlin 6c Moscow 10°C Stockholm icc Toronto orc Warsaw -2°C (a) Write down the city with the lowest temperature, (b) Work out the difference between the temperature in Berlin and the temperature in Warsaw. ec Cl] (©) The temperature in Minsk was 3°C higher than the temperature in Moscow. ‘Work out the temperature in Minsk. 16 Work out 34—14,, giving your answer as a mixed number in its lowest terms. Do not use a calculator and show all the steps of your working.18 (a) Write 1,8x 10* as an ordinary number. (b) Calculate (2.9% 10°) — (7.5% 10°). Give your answer in standard form. : 54 _ V5 3° (a) Useacalculator to work out 573 —p 915 Write down all the digits in your ealeulator display. (b) Write your answer to part (a) correct to 2 significant figures. ails Write down all the steps of your working and give your answer as a fraction in its lowest terms. 10 Without using a calculator, work out 112 v3 -7 343, -ll 0.4 2.5 From this list of numbers, write down (a) acube number, o (b)_ the smallest number, o1 (©) anatural number. 15 (a) QO= {1,2,3,4,5,6} Write down a set P where PC Q. (b) Shade these regions in the Venn diagrams. MUN’ 4uBanCc1 One day, at noon, in Maseru, the temperature was 17°C. At midnight the temperature was 20°C lower. Work out the temperature at midnight. 2 Write 5.17 10> as an ordinary number. 4 (a) Land 12 are factors of 12 Write down all the other factors of 12. (b) Write down the multiples of 9 between 20 and 40. 6 — Write 55g as a percentage of 2.2kg, 9 Work out, giving your answer in standard form. 12x10" + 12x10" % [2]13. (a) Write > asa mixed number. (b) Without using a ealeulator, work out +> Show all the steps of your working and give your answer as a fraction in its lowest terms. 2) 1 (a) Write down the temperature shown by each arrow. @ ‘Temperature (°C) 0 10 20 Gi) ‘Temperature (°C) °C [1](b) The table shows the daily temperature in Hayville for one week in January. Day Sunday | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday Temperature cy - 2 ae! 0 1 6 2 (Which was the coldest day? (ii) Find the difference between the temperature on Sunday and the temperature on Monday, (b) The table shows the daily temperature in Hayville for one week in January. Day Sunday | Monday | Tuesday Wednesday | Thursday | Friday Saturday Temperature 4 2 Al 0 1 6 2 ec) @ Which was the coldest day? (ii) Find the difference between the temperature on Sunday and the temperature on Monday. 2 Jeff owns a clothes shop. @) Shirt Tie $24 $12.50 Coat S46 Acustomer buys 3 shirts, 5 ties and I coat. Calculate the total cost. (b) A jacket has a price of $64 Jeff increases price by 8%. Calculate the new price.(©) Jeff also increases the price of a dress from $250 to $280. Caleulate the percentage increase in the price of the dress. sun% [3] (@)_ The shop has a rectangular floor measuring 5.5m by 8.5m. The floor covering costs $12 per square metre. Calculate the cost of the floor covering. s B) (©) Jeff invests $3600 for 3 years at a rate of 6% per year compound interest. Work out the value of the investment at the end of the 3 years. BI 6 (a) Find (@ all the factors of 18, Gi) amuttiple of 30, ] 2134.44, St dy) 2.53, @) 0.2)" 0]2 (b) Write 72 as a product of its prime factors. (©) Find the lowest common multiple (LCM) of 16 and 30. (@)_ Clock A chimes every 6 hours. Clock B chimes every 9 hours. Both clocks chime at 2 am. At what time will the two clocks next chime together? (a) Write the number 8045 in words. (b) Write down a number between 60 and 70 that is (@asquare number, prime number, a.common multiple of 4 and 17. a a ~ (1)(© @_ Write 98 as a product of its prime factors. - (21 Gi) Find the highest common factor (HCF) of 98 and 182 (2) (@) Find the value of @ 6, i) 24389, Gi) 14! dy) 5.4 Leo, Kim and Priya own a shop. (a) @_ Pens cost $1.45 each. Andre has a $10 note. Find the greatest number of pens that he can buy and how much change he receives. ‘Number of pens Change = $... BI Gi) The price of a pack of printer paper is $5.60. Ina sale this price is reduced by 15%. Calculate the sale price. QI (a) Martha makes hats. Each week she makes 160 hats. (Work out how many hats she makes in 5 weeks. (ii) The hats are made in the ratio small : medium : large = 2:5: 3. Work out how many of the 160 hats are large. (iii) She sells } of the 160 hats Work out how many hats she sells(b) Nina sells T-shirts The prices are shown in the table. Type Plain Striped Logo | Price $7.50 $9.50 $10.50 (Sam buys 3 plain T-shirts and 2 logo T-shirts, Work out how much she pays altogether, (ii) One day, Nina reduces all prices by 20%. Work out the new price of a striped T-shirt. (@)_ Nina paid $22.50 for a dress. She sold the dress for $31.50. Work out her percentage profit.2 (a) _ Fill in the missing number in each calculation, @ 6+2x =24 @ (10-.....)+3=2 (b) Find the value of 1,824.15 (©) Workout 35564" Give your answer correct to 2 significant figures. area (e) Put arring around the irrational number in the list below. 3 8 = 36 1 oe al 7 ou) a1 [1] o) QI o)(f) Written as a product of its prime factors, T= 2? x 3 x 5? (i) Work out the value of 7, Write 80 as a product of its prime factors. Find the highest common factor (HCF) of T and 80. (©) 7605 books were borrowed from the library in 2016. This was 22% less than in 2015. Calculate the number of books borrowed in 2015,(b) (The population of a town in the year 1990 was 15 600. ‘The population is now 11 420. Calculate the percentage decrease in the population. Gi) The population of 15 600 was 2.5% less than the population in the year 1980. Calculate the population in the year 1980, Bl (©) Chris invests $200 at a rate of x% per year simple interest. At the end of 15 years the total interest received is $48. Find the value of x. [2]10 (a) (i) Write 180 as a product of its prime factors. (ii) Find the lowest common multiple (LCM) of 180 and 54. 2]