Q1-5. Using column addition, keep the decimal points aligned one beneath the other to keep the correct place value of the digits. Q1. 1. 6 3 8. 2 + 3. 2 5 4 3. 0 5 [1.6 + 38.2 + 3.25 = 43.05] Q2. 0. 1 5 3 0. 0 5 + 1 3. 6 4 3. 8 0 [0.15 + 30.05 + 13.6 = 43.80 = 43.8] Q3. 3 1. 6 0. 4 5 + 1 0. 3 2 4 2. 3 7 [31.6 + 0.45 + 10.32 = 42.37] Q4. 2 0. 0 5 2 1. 7 5 + 1. 6 9 4 3. 4 9 [20.05 + 21.75 + 1.69 = 43.49] Q5-8. If you worked out the questions correctly, arranging the answers in size order, smallest to biggest should give you the order below: [42.37 43.05 43.49 43.8] 1 Access More @
Q9. Time How old Last year, Mavis was : (n) years This year, Mavis is: In 4 years, Mavis will be: (n + 1) years [(n + 1) + 4] years [In 4 years, Mavis will be = (n + 5) years] Q10. The easiest way to complete these types of questions is to find the difference between two successive (one after the other) numbers. In this question, work out the difference between 25.4 and 22.86. This gives 2.54. Add the 2.54 to the first number, 17.78 to get the answer. [17.78 + 2.54 = 20.32] Value in Inches Equivalent Value in Centimetres 7 17.78 8 [20.32] 9 22.86 10 25.4 Q11-13. Parking Area 1 Red Blue Silver 1 2 3 (ratios) 1. Add up the ratios [1 + 2 + 3 = 6] 2. Total number of cars in Parking Area 1 = 60 3. Divide total number of cars by total of ratio 4. [60 6 = 10] 5. Multiply each of the ratios by '10' 6. The number of Red, Blue and Silver cars in Parking Area 1 should total '60'. 2 Access More @
In Parking Area 1: Red Blue Silver 1 2 3 (1 x10 = 10) (2 x 10 = 20) (3 x 10 = 30) [Red cars = 10] [Blue cars = 20] [Silver cars = 30] Parking Area 2 Red Blue Silver 3 2 5 (ratios) 1. Add up the ratios [3 + 2 + 5 = 10] 2. Total number of cars in Parking Area 2 = 80 3. Divide total number of cars by total of ratio 4. [80 10 = 8] 5. Multiply each of the ratios by '8' 6. The number of Red, Blue and Silver cars in Parking Area 2 should total '80'. In Parking Area 2: Red Blue Silver 3 2 5 (3 x 8 = 24) (2 x 8 = 16) (5 x 8 = 40) [Red cars = 24] [Blue cars = 16] [Silver cars = 40] Now total up all the cars in Parking Areas 1 and 2 to get your answer. Parking Area Red Blue Silver Parking Area 1: 10 20 30 Parking Area 2: 24 16 40 Both Parking Areas: 34 36 70 [Red cars = 34] [Blue cars = 36] [Silver cars = 70] These should add up to the number of cars in the 2 parking areas. 3 Access More @
Q14. u = 7² 13 u = (7 7) 13 u = 49 13 [u = 36] Q15. v = (3.5 12) 2 v = 42 2 [v = 21] Q16. w = (45 9) 4 w = 36 4 [w = 9] Q17. y = (40% of 840) 8 y = ( 40 840) 8 Cancel out the zeros as you complete the bracket multiplication first. y = (4 84) 8 = 336 8 [y = 42] Q18-21. If you completed the above 4 questions correctly, you should have the same numbers as shown in the table below. Odd Numbers Even Numbers Square Numbers 9 36 Not a square number 21 42 Square numbers are formed by multiplying a number (an integer) by itself. Square numbers have integers (not fractions) as square roots. 4 Access More @
Q22-23. Scores are: 33 37 39 41 34 38 Q22. Mean = [Total all the numbers and divide by '6'] [(33 + 37 + 39 + 41 + 34 + 38) 6] Mean = 222 6 [Mean score = 37] [Total up all the scores and divide by number of numbers to get mean] Q23. [Range = Biggest number Smallest number] Range = 41 33 [Range = 8] Q24. A bucket of water holds water and volume of water in larger containers is measured in litres. So the likely match is: [Bucket of water = 5 litres] Q25. The height of a man is measured in metres and centimetres. So the likely match is: [Height of a man = 1 m 80 cm] Q26. The contents of a packet sweets are measured in grams. So the likely match is: [Packet of sweet = g] Q27. The distance from one city to another is usually measured in km. So the likely match is: [Distance from London to Birmingham = 200 km] 5 Access More @
Q28. A bowl of soup holds only a small volume and this will be measured in millilitres. So the likely match is: [Liquid in a bowl of soup = 300 ml] Q29. The weight of a bag of sugar is usually measured in kilograms. So the likely match is: [Weight of a bag of sugar = 1 kg] Q30-33. To find out the number of people who prefer each of the different FM radio stations, multiply the percentage of each FM radio station by 640 (the total number of listeners). So if the percentage of one FM station is 'w' %, then the number of listeners to that station would be : 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. 6 Access More @
Q30. Percentage of FM 1 = 15 % 15 % = 15 15 640 = 3 640 20 [Show the working; cancel out the zeros as you multiply the fraction] [Number of listeners to FM 1 = 96] Q31. Percentage of FM 4 = 20 % 20 % = 20 20 640 = 1 640 5 [Show the working; cancel out the zeros as you multiply the fraction] [Number of listeners to FM 4 = 128] Q32. To complete this question, subtract the number of listeners to FM 3 from the number of listeners to FM 2. Percentage of FM 2 = 30 % 30 % = 30 30 640 = 3 640 10 [Show the working; cancel out the zeros as you multiply the fraction] [Number of listeners to FM 2 = 192] 7 Access More @
Percentage of FM 3 = 10 % 10 % = 10 10 640 = 1 640 10 [Show the working; cancel out the zeros as you multiply the fraction] [Number of listeners to FM 3 = 64] Subtract the no. of listeners to FM 3 from the no. of listeners to FM 2. Listeners to FM 2 Listeners to FM 3 [192 64] [No. of listeners preferring FM 2 = 128] Q32. An alternative way to completing question 32 is to subtract the percentage of listeners to FM 3 (10%) from the percentage of listeners to FM 2 (30%). Then use the resulting percentage to work out the number of listeners who prefer FM 2. See how below: Listeners to FM 2 Listeners to FM 3 [30 % 10% = 20%] Percentage preferring FM 2 = 20 % 20 % = 20 20 640 = 1 640 5 [Show the working; cancel out the zeros as you multiply the fraction] [Number of listeners preferring FM 2 = 128] 8 Access More @
Q33. To complete this question, add the percentage of listeners to FM 1 (15%) and the percentage of listeners to FM 3 (10%) together. [15 % + 10% = 25%] Looking at the pie chart, percentage of listeners to FM 5 = 25% [FM station with as many listeners as FM 1 and FM 3 = FM 5] Q34-39. Digital-time 12-Hour clock time Q34. 06:30 [6:30 a.m] Q35. 21:15 [9:15 p.m] Q36. 01:12 [1:12 a.m] Q37. 23:59 [11:59 p.m] Q38. 14:06 [2:06 p.m] Q39. 17:23 [5:23 p.m] Q40-45. When rounding decimal numbers to the nearest whole number, look at the number in the tenth position (the number just after the decimal point) If the tenth digit is '5' and above, add one to the number in the units position and round up. If the tenth digit is less than '5', then discard and keep the whole number part the same. See the examples below: 9 Access More @
Q40. 4. 6 2 3 0 0 0 0 1 3 8 6 0 1 3 8.6 0 [ 4.62 30 = 138.60] Q41. 138.60 = [ 139 to the nearest pound] [(decider '6' is greater than 5 so round up] Q42. 9. 7 6 4 0 0 0 0 3 9 0 4 0 3 9 0.4 0 [ 9.76 40 = 390.40] Q43. 390.40 = [ 390 to the nearest pound] [(decider '4' is less than 5 so keep whole number amount the same] Q44. 6. 1 4 9 5 5. 2 6 [ 6.14 9 = 55.26] Q45. 55.26 = [ 55 to the nearest pound] [(decider '2' is less than 5 so keep the whole number amount the same] 10 Access More @
Q46-50. When you divide numbers by powers of 10 (numbers starting with '1' with zeros at the end e.g. 10,, 0, 00 etc.) the decimal point hops backwards (to the left). The number of hops corresponds with the number of zeros. Dividing by 10 means the decimal point hops once because 10 has one zero. Dividing by means the decimal point hops twice because has two zeros. Dividing by 0 means three hops; dividing by 00 means four hops and so on. Q46. 496 0 = [0.496] Q47. 36 0 = [0.036] Q48. 11.1 0 = [0.0111] Q49. 3.76 0 = [0.00376] Q50. 0.52 0 = [0.00052] 11 Access More @