D A 0.07. Put numbers in a column format to help assess if needed D 250cm = 2.5m D B A 36cm² as area means sides must be 6cm long each. Therefore, total is 24cm A C Value of digit 5 is in tenths E a) 672 b) 264 c) 1,081 d) 843 a) 1/3 b) 7/8 c) 1/3 d) 6 4/7 3.44, 4.34, 4.43, 34.4, 43.4, 44.3 a) 10 Mean is average. So its 17+12+8+16+2+5+10 = 70 / number of instances = 70/7 b) 15 Range is Highest – Lowest c) 14 If mean is 10, then work backwards. Mean = Total/number of instances This means 40 = Total/4 So total has to come to 40 and therefore, missing number is 40-5-7-12 a) 7:10 140:200 = 14:20 = 7:10 b) 30cm If model is 9m, = 900cm. Therefore 900/30 = 30cm c) 1:50 120cm:6000cm = 1:50 a) 127cm Convert to cm. 214-87 b) 25 bags 290/12 = 24.2 Round up as you need to cover the “0.2” requirement. So 25 bags 72 stickers a) 3.5 hours Time = Distance/Speed = 420/120 b) 180 miles Distance = 180miles 120mph so after 1.5 hours, train will travel 180 miles a) 3.7 (3.5+3.9)/2 = 7.4/2 b) 1.55 (1.3+1.8)/2 = 3.1/2 D Coordinates are (1,0) Area = 3 square units 42857 It is possible to make the following equation: 3(100000 + x) = 10x+1 (Why? Well, adding 100000 puts a 1 at the front of a five-digit number, and multiplying by 10 and adding 1 puts a 1 at the end of a number) Solving this gives: 10x+1 = 3(100000 + x) The answer is 42857 (142857 is three times smaller than 428571)
10x+1 = 300000 + 3x
10x = 299999 + 3x
7x = 299999
x = 299999/7 = 42857
