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E3-Mathematics Diagnostic Assessment  Mathematics Diagnostic Assessment Entry Level 3 SECTION ONE 1 (i) Place in order of value. Start with the lowest number. 72...

E3-Mathematics Diagnostic Assessment  Mathematics Diagnostic Assessment Entry Level 3 SECTION ONE 1 (i) Place in order of value. Start with the lowest number. 72 29 26 79 ……..……………………………………………………………………… (ii) Place in order of value. Start with the lowest number. 472 440 432 443 …………………………………………………………………………… (iii) Place in order of value. Start with the highest number. 21 12 92 32 48 …………………………………………………………………………… Total: 3 2 What is the answer? Do not use a calculator. + (i) 224 + 113 (ii) 341 + 252 (iii) 410 + 391 Total : 3 Entry 3:Diagnostic Assessment Mathematics 2  Mathematics Diagnostic Assessment Entry Level 3 3 What is the answer. Do not use a calculator. - (i) 442 - 311 (ii) 385 - 215 (iii) 570 - 328 Total : 3 4 Complete the sums. Do not use a calculator. (i) 5 + = 10 (ii) 17 + = 20 (iii) + 11 = 18 Total : 3 Entry 3:Diagnostic Assessment Mathematics 3  Mathematics Diagnostic Assessment Entry Level 3 5 Complete the sums. Do not use a calculator. (i) 14 - = 7 (ii) - 2 = 13 (iii) 20 - = 12 Total : 3 6 Circle the correct answer. Do not use a calculator. x (i) 45 x4 a) 160 b) 126 c) 180 (ii) 36 x 3 a) 98 b) 108 c) 918 (iii) 65 x 6 a) 336 b) 360 c) 390 Total : 3 Entry 3:Diagnostic Assessment Mathematics 4  Mathematics Diagnostic Assessment Entry Level 3 7 Complete the sums. Do not use a calculator. (i) X 2 = 16 (ii) 3 X = 18 (iii) 10 X = 50 Total : 3 8 Circle the correct answer. Do not use a calculator. ÷ (i) 4 44 a) 10 b) 11 c) 12 (ii) 3 62 a) 2 r2 b) 20 c) 20 r2 (iii) 5 37 a) 6 r23 b) 7 r2 c) 61 r2 Total : 3 9 The shop sold 914 cans of cola in July. Entry 3:Diagnostic Assessment Mathematics 5  Mathematics Diagnostic Assessment Entry Level 3 (i) Round this figure to the nearest 10. Circle your answer. a) 910 b) 920 c) 900 d) 915 The shop sold 855 cans of cola in August. Circle your answer. (ii) Round this figure to the nearest 100. a) 860 b) 800 c) 900 d) 1000 (iii) What is the value of the underlined figure? Circle your answer. 938 a) 300 b) 3 c) 30 d) 3000 Total : 3 10 (i) Estimate how much money you would need to be able to buy eighteen stamps costing 19p each? Circle your answer. a) £4.00 b) £3.50 c) £4.50 d) £5.00 (ii) Estimate the width of an actual Yellow Pages telephone directory. Circle your answer. width a) 10 cm b) 60 cm c) 20 cm d) 5 cm (iii) Estimate the cost of 5 plants at £2.97 each. Circle your answer. a) £10.00 b) £12.50 c) £15.00 d) £20.00 Total : 3 Entry 3:Diagnostic Assessment Mathematics 6  Mathematics Diagnostic Assessment Entry Level 3 11 Chose the correct symbol. e.g. To add 14 to 3 you would use +. (i) 17 subtract 6 a) + b) - c) x d) ÷ e) = (ii) 7 and 11 a) + b) - c) x d) ÷ e) = (iii) 6 times 5 a) + b) - c) x d) ÷ e) = (iv) 7 plus 9 a) + b) - c) x d) ÷ e) = (v) 9 chocolates shared between 3 a) + b) - c) x d) ÷ e) = Total : 5 Entry 3:Diagnostic Assessment Mathematics 7  Mathematics Diagnostic Assessment Entry Level 3 12 Match the fractions Circle the correct “The dark area is the fraction same as….” 1 1 3 e.g. is the same as 4 2 4 a) b) c) (i) is the same as 1 1 3 4 2 4 a) b) c) 1 1 3 (ii) is the same as 4 2 4 a) b) c) 1 1 1 (iii) is the same as 4 2 3 Total : 3 Entry 3:Diagnostic Assessment Mathematics 8  Mathematics Diagnostic Assessment Entry Level 3 13 Find the missing number and circle your answer. 2 ? e.g. = 8 4 a) 1 b) 3 c) 6 d) 8 3 ? (i) = 4 12 a) 8 b) 9 c) 3 d) 4 1 5 (ii) = 2 ? a) 5 b) 15 c) 10 d) 20 ? (iii) 1= 6 a) 1 b) 3 c) 6 d) 7 Total : 3 Entry 3:Diagnostic Assessment Mathematics 9  Mathematics Diagnostic Assessment Entry Level 3 14 You are checking the shopping till receipt. What is the amount shown in words. Tick the correct values : tick (i) £10.02 a) Ten pounds and twenty pence b) One pound and twenty pence c) Ten pounds and two pence (ii) £4.90 a) Four pounds and ninety pence b) Forty nine pounds c) Four pounds and nine pence ` (iii) £0.09 a) Nine pounds b) Ninety pence c) Nine pence Total : 3 15 Use a calculator to check the following sums. Circle the tick or cross to show whether the answer is right or wrong. √ i) 70p + £3.20 = £3.90 a) √ b) x ii) £10 ÷ 3 = £3.33 a) √ b) x iii) £92.05 x 4 = £368.02 a) √ b) x Total : 3 Entry 3:Diagnostic Assessment Mathematics 10  Mathematics Diagnostic Assessment Entry Level 3 SECTION TWO 16 (i) What is the correct layout for this sum? Circle your answer. Add £1.50 to £3 a) 3.00 b) 1.5 c) 3 + 1.50 +3 + 1.50 (ii) What is the correct layout for this sum? Circle your answer. Add 25p to £7 a) 7 b) 7.00 c) 7 + 25 + 0.25 + 0.25 (iii) What is the correct layout for this sum? Circle your answer. Add £8.04 to £2.60 a) 2.60 b) 2.6 c) 2.6 + 8.04 + 8.04 + 8.4 Total : 3 17 (i) What is the correct layout for this sum? Circle your answer. Take £2.11 from £2.22 a) 2.11 b) 2.22 c) 2.22 - 2.22 - 2.11 + 2.11 (ii) What is the correct layout for this sum? Circle your answer. Take 60 pence from £1.60 a) 1.60 b) 1.60 c) 60 - 60 - 0.60 - 1.60 (iii) What is the correct layout for this sum? Circle your answer. Take £1.40 from £2. a) 1.40 b) 1.40 c) 2.00 - 2 - 2.00 - 1.40 Total : 3 Entry 3:Diagnostic Assessment Mathematics 11  Mathematics Diagnostic Assessment Entry Level 3 18 Your shopping bill comes to £27.72 (i) Round up or down to the nearest ten pence. Circle your answer. a) £27.70 b) £27.80 c) £28.00 (ii) Round up or down to the nearest whole pound. Circle your answer. a) £27 b) £28 c) £30 (iii) £3.92 is approximately which of the following? Circle your answer. a) £3 b) £4 c) £5 Total : 3 Entry 3:Diagnostic Assessment Mathematics 12  Mathematics Diagnostic Assessment Entry Level 3 19a What time is it? Circle your answers. (i) a) 6.10 pm b) 2.30 pm c) 2.20 pm (ii) a) 4.10 am b) 2.30 am c) 2.20 am (iii) a) 12.35 am b) 11.35 am c) 7.55 am Entry 3:Diagnostic Assessment Mathematics 13  Mathematics Diagnostic Assessment Entry Level 3 19b What time is it on the digital display? Circle your answers. (i) 4:40 a) Twenty past four b) Twenty to five c) Four o’clock (ii) 11:45 a) Quarter to twelve b) Quarter to eleven c) Five to twelve (iii) Which digital display shows ‘quarter to eight’? a) b) c) 4:45 07:45 7:55 Total : 6 Entry 3:Diagnostic Assessment Mathematics 14  Mathematics Diagnostic Assessment Entry Level 3 20 (i) Your favourite TV programme starts at 8.40 pm and finishes at 9.15 pm. How long does it last? Circle your answer. a) 25 minutes b) 35 minutes c) 1 hour 25 minutes (ii) A ready-meal takes 1 hour 15 minutes to cook. If you put it in the oven at 11.45 am, what time will it be ready? Circle your answer. a) 1.00 pm b) 1.10 am c) 10.30 am (iii) Your bus journey from town takes 45 minutes and you arrive at your stop at 8.25. What time did you leave town? Circle your answer. a) 9.10 b) 7.40 c) 7.20 Total : 3 21 (i) Today I drove 50 miles. In France this would be shown as approximately: a) 80 metres b) 80 kilometres c) 80 millimetres 1 (ii) It takes me hour to walk: 2 a) 1 mile b) 5 miles c) 10 miles (iii) The nearest city is 13 miles away. Keeping to the speed limit of 30 miles per hour, I can drive there in approximately: a) 10 minutes b) 30 minutes c) 13 minutes Total : 3 Entry 3:Diagnostic Assessment Mathematics 15  Mathematics Diagnostic Assessment Entry Level 3 22 x) y) CM RULE 0 5 cm 10 cm Use the rule shown. (i) What is the length of line x? ____________ cm (ii) Line y is longer than line x. By how many centimetres? ____________ cm (iii) What is the length of line y in millimetres? ____________ mm (iv) A door is 1.23 metres wide. How many millimetres is this? ____________ mm Total : 4 Entry 3:Diagnostic Assessment Mathematics 16  Mathematics Diagnostic Assessment Entry Level 3 23 This scale is used for weighing letters. It is in grams. (i) How much does the letter weigh? Circle your answer. a) 350 g b) 400 g c) 300 g d) 330 g (ii) A letter weighs 450 grams. Circle the letter that points to 450g on the scale. d) c) b) a) (iii) Estimate the weight of a bag of sugar. Circle your answer. a) 0.1 kg b) 7.5 kg c) 25 kg d) 1 kg Total : 3 Entry 3:Diagnostic Assessment Mathematics 17  Mathematics Diagnostic Assessment Entry Level 3 24 (i) A recipe needs 900 ml (1 1 pints) brown stock. Circle the 2 letter which shows the amount of stock required? a) 2 pt 1 ltr 1 b) 1 2 pt 1 pt 1 d) 2 ltr 1 c) pt 2 (ii) How much liquid is in the jug? 1000 ml 750 ml 500 ml 250 ml a) 1.5 ltr b) 0.85 ltr c) 0.5 ltr (iii) A 1.5 litre bottle of lemonade is equivalent to which of the following? Circle your answer. a) 1250 ml b) 1500 ml c) 150 ml Total : 3 Entry 3:Diagnostic Assessment Mathematics 18  Mathematics Diagnostic Assessment Entry Level 3 25 You have been given different units of measurement. gram (g) kilogram (kg) millilitre (ml) litre (l) tonne (t) metre (m) Which unit of measurement would you choose to measure each of the following? Circle your answer. (i) A small bag of sweets. a) gram (g) b) kilogram (kg) c) millilitre (ml) (ii) Your height. a) kilogram (kg) b) gram (g) c) metre (m) (iii) Your weight. a) litre (l) b) metre (m) c) kilogram (kg) (iv) A lorry load of sand. a) litre (l) b) tonne (t) c) metre (m) (v) Cough mixture. a) litre (l) b) millilitre (ml) c) gram (g) (vi) Petrol. a) litre (l) b) millilitre (ml) c) gram (g) Total : 6 Entry 3:Diagnostic Assessment Mathematics 19  Mathematics Diagnostic Assessment Entry Level 3 26 The temperature dropped to 5 oC in February and rose to 26 oC in August. a b cd (i) Which letter marks the correct temperature for February? ……………………………………………………………………… (ii) Which letter marks the correct temperature for August? ……………………………………………………………………… (iii) What is the difference between these two temperatures? …………………………………………………………….……oC Total : 3 Entry 3:Diagnostic Assessment Mathematics 20  Mathematics Diagnostic Assessment Entry Level 3 SECTION THREE 27 (i) Tick √ the shape which does not have a line of symmetry. a) b) c) (ii) How many small boxes will fit into the big one? Circle your answer. 2cm 4cm a) 3 b) 2 c) 4 d) 1 (iii) How many right angles are there in this shape? Circle your answer. a) 4 b) 0 c) 2 d) 8 Total : 3 Entry 3:Diagnostic Assessment Mathematics 21  Mathematics Diagnostic Assessment Entry Level 3 Maximum 28 Month (highest) temperature January 10 °C June 20 °C August 25 °C October 15 °C December 10 °C (i) In which month does the temperature reach a maximum of 15 °C? Circle your answer. a) January b) June c) October d) December (ii) Which is the hottest month? Circle your answer. a) June b) October c) August Entry 3:Diagnostic Assessment Mathematics 22  Mathematics Diagnostic Assessment Entry Level 3 Coffee Women’s Fashions Female Male Toy Shop Shop Toilet Toilet Department Store Shopping Precinct Menswear Shoe Shop Jewellery Chemist RULE 0 cm 5 cm 10 cm Length Scale 1 cm : 5 metres Using the rule shown: (iii) What is the approximate length of the shoe shop? Circle your answer. a) 30 m b) 50 m c) 10 m d) 60 m (iv) What is the approximate length of the inside of the shopping precinct? Circle your answer. a) 30 m b) 50 m c) 40 m d) 60 m Total : 4 Entry 3:Diagnostic Assessment Mathematics 23  Mathematics Diagnostic Assessment Entry Level 3 29 The pictogram below shows how many drinks are sold from a drinks machine. = 10 drinks Monday Tuesday Wednesday Thursday Friday Use this pictogram to answer the questions below: (i) How many drinks are sold on a Tuesday? Circle your answer. a) 50 b) 60 c) 5 d) 6 (iii) On one day 30 drinks are sold. Which day is it? Circle your answer. a) Tuesday b) Monday c) Wednesday d) Friday Entry 3:Diagnostic Assessment Mathematics 24  Mathematics Diagnostic Assessment Entry Level 3 20 Temperature C 15 10 5 0 -5 Jan Feb Mar Apr May Months Using the bar chart: (iii) What is the temperature difference between April and May? a) 5 oC b) 10 oC c) 15 oC d) 25 oC (iv) Which is the coldest month? a) Jan b) Mar c) April d) May Total : 4 Entry 3:Diagnostic Assessment Mathematics 25  Mathematics Diagnostic Assessment Entry Level 3 30 Complete the tally chart by filling in the boxes marked (i), (ii), (iii), (iv) with either the correct tally or frequency, as appropriate. Use a tally for each coin. Number of Coins Coins Tally Frequency e.g. 1p IIII 4 e.g. 2p II 2 (i) (ii) 5p e.g. 10p III 3 (iii) (iv) 20p e.g. 50p II 2 e.g. £1.00 III 3 e.g. £2.00 l 1 Total : 4 Entry 3:Diagnostic Assessment Mathematics 26  Mathematics Diagnostic Assessment Entry Level 3 31 Out of 35 people, 10 planted tulips, 20 planted daffodils and just 5 planted hyacinths. (i) Which chart shows these findings? Circle your answer. a) 20 15 Flowers 10 5 Tulips Hyacinths Daffodils People 20 b) 15 10 People 5 Tulips Hyacinths Daffodils Flowers c) (ii) What would be a more sensible title for the x axis? Circle your answer. a) No. of flowers b) No. of people c) Types of flowers (iii) When drawing a pictogram, one apple was used to represent 15 apples. How many apples would you need to draw to represent 60 apples? Circle your answer. a) 6 b) 4 c) 3 d) 5 Total : 3 Entry 3:Diagnostic Assessment Mathematics 27  Diagnostic Assessment Mathematics LEVEL 1 Name …………………………………… Date …………………………………. Level 1 Diagnostic  Mathematics Level 1 – Diagnostic Test This test is designed to help you and your tutor identify any aspects of number work where you may need support and extra practice to achieve your aims for the future. Equipment you will need: A calculator for the ‘Shape and Space’ and ‘Handling Data’ sections (You should not use a calculator for questions 1 to 17 on number work) A ruler, pen and pencil. PLEASE – Show all your working our – it will help your tutor to help you. Formulae and reminders Area = length x width Perimeter = the distance all round an object A Net is a drawing you can cut out and fold to make a 3-dimensional shape Mode = the most frequently occurring value in a set of data. H Volume of cuboid (box) = area of base x height A alternative H Volume of a cuboid (box) = length x width x height L W Level 1 Diagnostic  Level 1 Diagnostic Test – Number 1. Addition of Numbers a) 7+2= b) 6+8= c) 31+23= d) 69+42= e) 132+246= f) 361+42= g) 37 + 6= h) 231 + 6 + 48= 2. Subtraction of Numbers a) 7 b) 12 c) 268 d) 311 -4 - 7 - 123 - 186 e) 3156 f) 615 – 287= g) 732 – 96= h) 3000 – 948= - 862 3. Multiplication of Numbers a) 8 b) 12 c) 24 d) 158 x3 x 6 x5 x7 e) 3062 x4 Level 1 Diagnostic  Level 1 Diagnostic Test – Number 4. Division of Numbers a) 8 b) 35 c) 24 d) 212 2  5  2  4 e) 1035  3 5. Addition of Decimals a) 0.2 b) 1.2 c) 1.23 d) 13.6 + 0.3 + 20.3 + 12.30 + 3.61 e) 10.4 + 6 + 0.38 = 6. Subtraction of Decimals a) 0.7 b) 12.7 c) 105.2 – 16.9 c) 5.2 – 2.37 - 0.2 - 9.3 e) 10.3 – 8.75 = 7. Multiplication of Decimals a) 0.2 x 6 = b) 0.2 x 0.3 = c) 1.2 x 5 = d) 0.02 x 0.4 = e) 1.75 x 1.1= Level 1 Diagnostic  Level 1 Diagnostic Test – Number 8. Division of Decimals a) 63= b) 0.6  0.2 = c) 0.8  0.4 = d) 1.2  3.6 = 9. There are 48 cars in the college car park and ¼ of the cars are red. How many red cars are there? 10. The sketch shows a bar of chocolate. Make a copy of this sketch and shade in 1/3 of the bar. 11. A school has 200 pupils; 40% are girls. How many girls are at the school? Level 1 Diagnostic  Level 1 Diagnostic Test – Number 12. Estimate the percentage of milk contained in the milk jug below. 13. One hundred people had a drink in a café between 1.00pm and 3.00pm. Eighty had a cup of tea and twenty had a cup of coffee. What is the Ratio of tea drinkers to coffee drinkers? Express this ratio in its Simplest form. 14. Mandy goes to the local shop and buys a jar of coffee at £2.35, a carton of milk at £0.38p, a bag of sugar at £0.80p and a packet of biscuits at £1.19p. She gives the shop assistant £5. How much change does she receive? 15. You start with a number, multiply it by 8 and then add 5 and the answer is 61. Find the number you started with 16. Using the formula below; find the profit given that revenue is £12,500 and the expenditure is £9.050. Profit = Revenue – Expenditure Profit = Level 1 Diagnostic  Level 1 Diagnostic Test – Number 17. A kitchen is 4.5 m long and 2.0 m wide Kitchen Plan 2.0 m 4.5 m Calculate: a) The floor area b) The total perimeter c) The volume, if the height is 3.0 m 18. State measuring instruments, from the list below, would be most appropriate for the following tasks: a) Measuring the distance from Mansfield to Skegness b) Measuring the width of a shelf c) Measuring the angle of a pie chart d) Measuring out quantities for baking a cake e) Marking out a 2 m circle on a carpet 3m steel tape Protractor Bathroom scales Car milometer Road atlas Dressmaker’s tape Tablespoon 1 litre measuring jug Compass Bucket Level 1 Diagnostic  Level 1 Diagnostic Test – Number 19. The drawing shows a sketch of a lounge. It is not drawn to scale. Using a scale of 2 cm to 1 m and using the grid provided make an accurate scale drawing of the lounge. 2.5 m 4.5 m 2.0 m Each square = ½ cm by ½ cm 6.0 m 20. Which of the following three diagrams does NOT form the net of a cube? c) a) b) Level 1 Diagnostic  Level 1 Diagnostic Test – Number 21. A Keep Fit Class wore trainers. Below is a list of the sizes worn by each person. 4 6 8 7 5 5 6 3 6 5 7 6 8 6 5 5 7 8 6 5 7 4 7 6 a) Find the range b) Complete the table Trainer Size Tally (e.g. III) Frequency 3 4 5 6 IIII II 7 8 c) Draw a bar chart from your table, using the grid below: 10 9 8 Number of students wearing each size 7 6 5 4 3 2 1 0 d) From the bar chart find the mode Level 1 Diagnostic  Level 1 Diagnostic Test – Number 22. Shown below are two conversion tables: Liquid Conversion Table Pints Litres 1 0.57 2 1.14 3 1.71 4 2.29 5 2.86 6 3.43 7 4.00 8 4.57 Weight Conversion Table lb kg 2.20 1 4.41 2 6.61 3 8.82 4 11.02 5 13.23 6 15.43 7 17.64 8 Use the conversion tables to convert: a) 3 pints into litres b) 6.5 kilograms (kg) into pounds (lb) Level 1 Diagnostic  Level 1 Diagnostic Test – Number 23. The table shows the amount of rainfall during each month in 1996 at a resort in England. Months Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Rainfall 35 32 40 50 30 25 10 15 20 25 20 30 (mm) a) Using the grid provided represent this information on a line graph b) Which month was the wettest? b) During which two month period will it be best to take your holidays? Level 1 Diagnostic  Level 1 Diagnostic Test – Number 24. The pictogram below shows the number of female and male pupils in a school in the years 1995 and 1996. 1995 1996 Key: = 150 females = 150 males a) How many females attended the school in 1995? b) How many pupils attended the school in 1996? Level 1 Diagnostic Diagnostic Assessment Mathematics LEVEL 2 Name …………………………………… Date …………………………………. Level 2 Diagnostic  Mathematics Level 2 – Diagnostic Test This test is designed to help you and your tutor identify any aspects of number work where you may need support and extra practice to achieve your aims for the future. Equipment you will need: A calculator for the ‘Shape and Space’ and ‘Handling Data’ sections (You should not use a calculator for questions 1 to 11 on number work) A ruler, protractor, a pair of compasses, pen and pencil. PLEASE – Show all your working our – it will help your tutor to help you. Formulae and reminders Area of a rectangle = length x width Area of a triangle = ½ x base x height Volume of a cuboid = length x width x height Volume of a prism with constant cross section = area x length Area of a circle = II x radius2 length Circumference of a circle = II x diameter Use II = 3.142 or the value from your calculator Perimeter = the distance all round a flat object A Net is a drawing you can cut out and fold to make a 3-dimensional shape Mode = the most frequently occurring value in a set of data. Median – the middle value of a set of data Mean – the sum of a set of data divided by the number of pieces of data. Level 2 Diagnostic  Level 2 Diagnostic Test – Mathematics 1. There are 56 cards in the college car park; ¾ of the cars are over two years old. How many cars are over two years old? 2. A student spends ½ of his weekly income on food, 1/6 on entertainment, ¼ on clothes and the remainder he saves. What fraction of his weekly income does he save? 3. This sketch shows a bar of chocolate. Shade in 2/3 of the bar. Delicious Bar 4. A school has 150 pupils; 44% are girls. How many girls are at the school? Level 2 Diagnostic  Level 2 Diagnostic Test – Mathematics 5. An article is bought for £40 and sold for £48. Calculate the percentage profit. 6. Scott, Martin and Adrian are in a lottery syndicate. Each week Scott pays £2, Martin pays £3 and Adrian pays £5. They win £15,000 and divide their winnings in the same ratio as their weekly contributions. Calculate how much each receives. 7. A length of wood is 2.5m long. From the wood 8 equal pieces of length 10 inches are to be cut. Given that 1 inch = 2.54 cm. Calculate to the nearest cm the amount of wood remaining. Level 2 Diagnostic  Level 2 Diagnostic Test – Mathematics 8. The cost of hiring a car is £30 plus 20p for every mile travelled. a. Calculate the cost to hire the car and travel 500 miles. b. How many miles would you have travelled if you paid a total charge of £50? c. Write a formulae to represent the cost of hiring a car when you have driven ‘x’ miles 9 a. Simon has an overdraft of £65 on his bank account and he pays in £90. What is his balance now? b. Angela also has an overdraft of £65 on her bank account and she pays in £50. What is her balance now? Level 2 Diagnostic  Level 2 Diagnostic Test – Mathematics 10. The table shows the number of tins of food sold by a supermarket store during the period of 1986 – 1996. Complete the missing figures in the table. Year Beans Peaches Soup Total Sales (millions) (millions) (millions) 1986 48.3 0.8 54.1 102,200,000 1988 69.6 18.2 52.3 1990 29.2 50.7 140,500,000 1992 43.7 50.9 24.7 1994 56.4 6.7 133,600,000 1996 56.0 39.8 4.5 11. The graph shows the conversion of pounds to kilograms. Use the graph to estimate the weight in: a. Pounds of a 1 kg bag of sugar b. Kilograms of a 7lb maximum load for a washing machine. 4 3 2 1 Pounds 1 2 3 4 5 6 7 8 (lb) Level 2 Diagnostic  Level 2 Diagnostic Test – Shape & Space 12. The diagram shows the plan of a lounge. (all corners are right angles) 2.5m 4.1m 2.0m 6.8m Calculate: a. The total floor area b. The total perimeter c. The volume of the room, if the height is 2.4m Level 2 Diagnostic  Level 2 Diagnostic Test – Shape & Space 13. A water barrel is shown a. Find the volume of water in litres it can contain when full Use the conversion: 1000cm2 = 1 litre radius 11cm Express your answer in the nearest litre Length 48cm b. Find an estimate for the volume. Using II = 3 and working to the nearest 10cm to check your calculator answer. 14. Two friends go away for the weekend camping and taking a small ridge tent. 4-5 ft 8.0 ft 5.0 ft Using the sketch shown find: a) The volume of the tent b) The floor area of the tent Level 2 Diagnostic  Level 2 Diagnostic Test – Shape & Space 15. Henry paces out a building in order to find its length. It is 21 paces long Henry believes his pace is 0.9 m long 21 paces a) What is his estimate of the length? b) In fact, Henry’s paces vary between 0.85 m and.095 m in length i. What is the longest length the building could be? ii. What is the shortest length the building could be? Level 2 Diagnostic  Level 2 Diagnostic Test – Shape & Space 16. The drawing shows a cuboid with 3 shapes painted on the sides (the sides not visible in the diagram are blank). The squares both have sides of 2.5 cm and the circle has a radius of 1.5cm. 5 cm 12 cm 8 cm Complete the net of the cuboid, showing the painted shapes. State the scale which is used for the net. Level 2 Diagnostic  Level 2 Diagnostic Test – Handling Data 17. The table shows the mean heights of males and females between the ages of 8 and 20 years. Mean Ages 8 10 12 14 16 18 20 14 Females (cm) 141 145 156 161 167 172 175 160 Males (cm) 135 140 155 170 180 183 185 164 a) Draw two straight lines to show the correlation between age and height. 190 180 170 160 150 140 130 8 9 10 11 12 13 14 15 16 17 18 19 20 b) Use your graph to estimate the age when the mean height of both males and females were the same. c) At what height was this? Level 2 Diagnostic  Level 2 Diagnostic Test – Handling Data 18. Indicate the probability scale what you think the chance of: a) It raining on April 21 next year b) Income tax will be abolished next year c) Next year you will be a year older than you are today 0% 50% 100% Impossible Certain 19. What is the probability of selecting an even number from the numbers 10 to 20 inclusive? 20. The following table shows the number of umbrellas manufactured by a small factory over a 4 month period. Choose a suitable scale and draw a pictogram to represent this information. Month Output April 1800 May 900 June 300 July 450 Level 2 Diagnostic  Level 2 Diagnostic Test – Handling Data 21. The number of saloons and hatchback cars sold by a garage are shown in the Component Bar Chart Car Sales 40 35 30 25 Sales Saloons 20 Hatchbacks 15 10 5 0 Jan 1 Feb2 March 3 Apr 4 May 5 June 6 Months From the bar chart find the:- a) Number of saloon cars sold in January b) Number of hatchback cars sold in June c) Total number of cars sold during the 6 month period 22. A box contains 40 apples whose weights are shown in the frequency table below: Weight (g) 70 80 90 100 110 120 Total Frequency 2 7 9 11 8 3 40 Weight x 140 560 360 Frequency Using this information calculate the: a) Mean weight of the apples b) Median weight of the apples c) Modal weight of the apples Level 2 Diagnostic  Level 2 Diagnostic Test – Handling Data 22. A sample of 180 people was taken from those visiting a theme park. They were asked which was their favourite ride. a) Two fifths of all people asked said their favourite ride was the roller coaster. Calculate the angle in degrees needed to represent this information and draw the angle in the pie chart. b) The angle relating to those who gave their first choice as the long flume is 120. Calculate the number of people who preferred the log flume. Log Flume 120 Level 2 Diagnostic