Numeracy Practice Assessment

1. Numeracy Practice Assessment

2. 1 mark category Calculation

3. VAT is charged at 20%. What was the total price? 1 Brenda bought a new TV. The price was £800 + VAT. VAT 20% of 800 0.2 X 800 = 160 Total = 800 + 160 = £960 (or 10%→80, 20% → 160) 2 Calculation

4. 2 An empty box has a weight of 275 g. When thirty packets of pencils are put into it, it has a weight of 2675 g. What is the weight of one packet of pencils? Weight of pencils = 2675 – 275 = 2400 Weight of each packet = 2400 ÷ 30 = 80 g 2 Calculation

5. 3 Toni is going to France. How much currency will she get for £420 when the exchange rate is 1·34 euros to a pound? 420 X 1.34 = 562.80 euros 1 Calculation

6. 4 Complete the following table which shows departure and arrival times for different bus journeys. 1h 20mins 02 35 10 30 3 Calculation

7. The owner bought 32m of fencing which is to go round the outside of the garden. Is the fencing long enough for the garden? (You must show working to support your answer) 3m 7m 5m 5 The diagram shows a garden which is made up of two rectangles. 5m 10m Perimeter = 2 X 10 + 2 X 5 1 Calculation = 30m There is enough fencing as there is 2m extra 1 Explain - Calculations

8. How far does the bus travel in this time? 6 A bus travels at a constant speed of 44 mph for 15 minutes. D = ST = 44 X 0.25 = 11 miles. 1 Calculation

9. 7 £345 raised in sposored walk is to be shared out between two charities in the ratio 2:3. The smaller charity received £150. Is this the correct amount? Justify your answer by calculation. Smaller Charity Fraction 2/5 Amount 2/5 of 345 = £138 Not correct amount - £12 extra. 2 Calculation 1 Explain - Calculations 1 Explain – Calculations Need 1 out of 2

10. 2 Litres 1 Litre 8 The temperature in Someplace went from 4 °C to –7 C. By how many degrees did the temperature drop? 110C 9 Some coloured water has been added to this measuring jar. 1 Calculation How much water is needed to fill the jar? 1.8 2 – 1.7 = 0.3 litres = 300ml 1.6 1.4 1.2 1 Interpret

11. 10 Two shops are selling the same model of television. They are are offering these for sale with different deals. Which shop has the cheaper deal? Justify your answer by calculation. Shop A Deposit £80 Six payments of £48.20 Shop B Deposit £120 Six payments of £42.80 Shop B Payments: 6 X 42.80 = £256.80 Add deposit: 256.80 + 120 = £376.80 Shop A Payments: 6 X 48.20 = £289.20 Add deposit: 289.20 + 80 = £369.20 2 Calculation Shop A has the cheaper deal as its overall cost is less 1 Interpret

12. 11 The triangle below is right-angled. (a) Measure the length of the longest side. (b) Measure the size of the shaded angle. a) 7.9cm (7.8 – 8.0 acceptable) b) 510 (50 – 520 acceptable) 2 Recording Recording Need 1 out of 2

13. 12 A school is sending a year group to an event. There are 172 students in the year group. A bus company offers two sizes of bus: Size A 50 seats Price £220 Size B 28 seats Price £150 The school wants to pay the lowest total hire charge available. How many buses of each size should they hire? How much will this cost? 3 of Size A and 1 of Size B = 3 X 220 + 150 = £810 1 Interpret Interpretation Need 1 out of 3

14. 13 A survey was taken involving 120 students, asking how they got to school. The diagram below shows the proportion of how students travel. How many students walk? 600 1 Extract 60/360 = 1/6 1/6 of 120 = 20 students 1 Calculation Calculation Need 8 out of 16

15. 14 The table below shows the amount of yearly interest a selection of banks charge for loans. For a loan of £3700, which bank charges least interest? 1 Extract

16. 15 A local school conducted a survey on a Wednesday afternoon to establish the number of pupils who were wearing ties. The compound bar chart below gives the results of the data collected. (a) How many S3 girls wore ties that day? (b) Compare the wearing of ties by both boys and girls across the year groups. 1 Extract a) 20 b) Overall more boys tended to wear ties. Less S4 students wore ties than any other year group. Extract Need 2 out of 3 1 Explain – Data

17. 16 Three mobile phone companies each have a contract available at the same price. Tessa is looking for a mobile phone contract which will give her 120 minutes of calls, 800 texts, and 130Mb of internet use. Which company’s plan would be best for her? 1 Explain – Data Explain – Data1 out of 2

18. 17 Two classes are having a prize draw. The winners will be drawn out of a hat. Class A has 28 students and and there are 5 different prizes. Club B has 23 students and there are 4 different prizes. In which class does any one student have a better chance of winning a prize? Justify your answer by calculation. • Class A. • 5 out of 28 → 5/28 • = 0.179 • Class B. • 4 out of 23 → 4/23 • = 0.174 • Student has a better chance of winning in class A • as the percentage chance is higher. = 17.9% = 17.4% 1 Judge

19. 18 The results of 3 tennis players are shown below. Sandy has won 13 out of 20 matches. Monica has won 11 out of 16 matches. Sandra has won 17 out 28 matches. Who has the best winning record? Justify your answer by calculation. • Sandy. • 13 out of 20 → 13/20 • = 0.65 • Monica. • 11 out of 16 → 11/16 • = 0.688 • Sandra. • 17 out of 28 → 17/28 • = 0.607 Judge Need 1 out of 2 = 65% = 68.8% 1 Judge = 60.7% Monica has best record as her percentage of victories is highest.

20. Summary Also Must Put Units and Calculations Calculation Need 8 out of 16 Recording Need 1 out of 2 Explain – Calculations Need 1 out of 2 Interpretation Need 1 out of 3 Extract Need 2 out of 3 Explain – Data Need 1 out of 2 Judge Need 1 out of 2