[Odd Number x Odd Number = Odd Number] [Even Number x Odd Number = Even Number] [Even Number x Even Number = Even Number]

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1 [Odd Number x Odd Number = Odd Number] [Even Number x Odd Number = Even Number] [Even Number x Even Number = Even Number] Q1. 84 x 36 = 3024 [even] Q x 297 = [odd] Q x 1468 = [even] Q x 36 x 52 = [even] Q = 2.00 [decider '4' is less than 5: round down to 2.00] Q = 3.00 [decider '7' is more than 5: round up to 3.00] Q = 5.00 [decider '5' is 5: round up to 5.00] Q = 6.00 [decider '4' is less than 5: round down to 6.00] Q = 8.00 [decider '5' is 5: round up to 8.00] [The deciders are the numbers right after the decimal point] Q10. If ⅔ of a sum of money = 48p ⅓ of this sum of money = 48 2 = 24p [⅓ + ⅓ = ⅔] (there are 2 (⅓)s in ⅔) So if ⅓ of the money = 24p Then full amount of money = ⅓ x 3 [there are 3 (⅓) s in a whole] Full amount = 24p x 3 = 72p So ⅝ of 72p = [(72 8) x 5] = [9 x 5 = 45] [Answer = 45p] 1 Access

2 Q It takes 50 minutes to cook a kilogram of pork joint plus an extra 20 minutes. Use the information given to complete the table below. Use the steps below to work out the cooking times for the different weights. Q11. Weight of pork joint = 1kg Time to cook = (50 mins x 1) + 20 mins Time to cook = 70 mins [Time to cook = 1 hour 10 mins] Q12. Weight of pork joint = 1½ kg Time to cook = (50 mins x 1½) + 20 mins Time to cook = = 95 mins [Time to cook = 1 hour 35 mins] Q13. Weight of pork joint = 2 kg Time to cook = (50 mins x 2) + 20 mins Time to cook = = 120 mins [Time to cook = 2 hours] Q14. Weight of pork joint = 2½ kg Time to cook = (50 mins x 2 ½) + 20 mins Time to cook = = 145 mins [Time to cook = 2 hours 25 mins] Q15. Weight of pork joint = 3kg Time to cook = (50 mins x 3) + 20 mins Time to cook = = 170 mins [Time to cook = 2 hours 50 mins] Q16. Weight of pork joint = 3 ½ kg Time to cook = (50 mins x 3 ½) + 20 mins Time to cook = = 195 mins [Time to cook = 3 hours 15 mins] [See the completed table on the next page] 2 Access

3 Weight of joint (kg) Working it out Time taken to cook 1 (50 x 1) + 20 = 70 [1 hour 10 minutes] 1½ (50 x 1½) + 20 = 95 [1 hour 35 minutes] 2 (50 x 2) + 20 = 120 [2 hours 0 minutes] 2½ (50 x 2½) + 20 = 145 [2 hours 25 minutes] 3 (50 x 3) + 20 = 170 [2 hours 50 minutes] 3½ (50 x 3½) + 20 = 195 [3 hours 15 minutes] Q When you divide numbers by powers of 10 (numbers starting with 1 with zeros at the end eg. 10, 100, 1000, etc) the decimal point hops backwards (to the left). The number of hops corresponds with the number of zeros. Dividing with 10 means the decimal point hops once because 10 has one zero. Dividing with 100 means the decimal point hops twice because 100 has two zeros. Dividing with 1000 means three hops, dividing with means four hops and so on. Q = [0.374] Q = [0.0148] Q = [ ] Q Number of children = 420 Percentage of boys = 45% [(45/100 of 420) = boys] [45% = 45/100 = 9/20] (9/20 x 420) = 9 x 21 = 189 Q20. [Number of boys = 189] Number of girls = = 231 Q21. [Number of girls = 231] 3 Access

4 Q Amount of money to share = 9.00 [ 9.00 = 900p] Avanda : Alicia : Clara 8 : 5 2 [Add the ratios: = 15] = 60 [Divide total money by total of ratio] [Then multiply each ratio by 60 as below] (8x60) : (5 x 60) : (2x60) 480p : 300p : 120p Avanda : Alicia : Clara 8 : 5 2 [ 4.80] : [ 3.00] : [ 1.20] [Check: Total money received by all three children should total 9.00] Q Access

5 Imperial units are units of measurement such as miles, pounds, ounces, pints, yards, feet, inches etc. Q30. Distance from New York to London [miles] Q31. The amount of water a jug holds [pints] Q32. How much a pencil weighs [ounces] Q33. How tall a person is [feet & inches] 24-Hour clocks use hours from 00:00 hours to 24:00 hours. [24-Hour Clock] [12-Hour Clock] Q34. 20:20 [8:20 p.m] Q35. 08:05 [8:05 a.m] Q36. 00:10 [12:10 a.m] Q37. 17:45 [5:45 p.m] Q Calculate the total age of the children in the table below. Children Years Months Zara Siva 10 8 Damien 11 4 Robert 10 2 Tomi 10 8 Total Changing the '33' months to years gives 2 years & 9 months 51 years + 2 years & 9 months = 53 years & 9 months. Total age Access

6 Q To calculate the average age of the children, change the total age of the children from 'years and months' into 'only months'. Total age of the children = 53 years & 9 months Change into months = [(53 x 12) + 9 months] = = 645 months To find average age = = 129 months Average age per child = 129 months 129 months = (129 12) years [Average age per child = 10 years & 9 months] Q42. ½ = 50p 0.55 = 55p 27 x 2p = 54p 13/25 = 52p [(times top/bottom by 4) = 52/100] p = 51p Biggest value Least value [55p] [50p] [Adding the two] = [55p + 50p = 1.05] Q [Let's say Arnie has 'w' games.this means Simon has ⅓w, (question says Simon has ⅓ as many as Arnie). If Arnie has 'w' games, then Nicholas should have 2w, twice as many as Arnie] Simon Arnie Nicholas ⅓w w 2w [x through by '3'] (⅓w x 3) (w x 3) (2w x 3) Simon Arnie Nicholas w 3w 6w [Question says total number of games children have = 140 games] This means: ['w + 3w + 6w' = 140 games] 6 Access

7 w + 3w + 6w = 140 games [using algebra] 10w = 140 games w = = 14 [w = 14 games] If w = 14, then Simon Arnie Nicholas w 3w 6w [1 x 14 = 14] [3 x 14 = 42] [6 x 14 = 84] [Simon has 14 games] [Arnie has 42 games] [Nicholas has 84 games] Check: [If you add up all the games the children have, they should total 140] Q Total number of children in the survey = [72] Q To find out the number of children choosing each colour, work out the size of the angle of the colour. Divide this angle size by 360º and then multiply your answer by 72 (the number of children taking part in the survey). So if the angle of the colour is 'w', then the number of children choosing that colour should be : 7 Access

8 The skill you need here to work out these questions is multiplication of fractions. Use cross-cancelling to simplify the fractions where possible. Click here to watch a video on how to multiply fractions. Q46. Green section of the circle = 60º [90º - 30º = 60º] 60/360 x 72 children = 1/6 x 72 = 72 6 = [12 children] Q47. Blue section of the circle = 165º 165/360 x 72 children = (165 5 = 33) = [33 children] Q48. Orange section of the circle = 15º [180º - 165º] 15/360 x 72 children = 15 x (72 360) = 15 5 = [3 children] Q49. Red section of the circle = 45º 45/360 x 72 children = ⅛ x 72 = 72 8 = [9 children] Q50. Pink section of the circle = 30º 30/360 x 144 children = 1/12 x 72 = = [6 children] 8 Access