End of Year Test Revision Homework Level 3

Transcription

1 End of Year Test Revision Homework Level 3 Rounding 1) Round to the nearest whole number. a) 5 2 b) 7 8 c) ) Round these numbers to the nearest 10. a) 73 b) 87 c) 238 3) Round these numbers to the nearest 100. a) 482 b) 247 c) ) Round the following numbers to one decimal place :- a) 5.36 b) c) d) Decimal Calculations 5) Calculate (without calculator):- a) b) c) x 8 d) e) x 1000 f) 26 x 600 g) h) Negative Numbers 6) What temperatures are shown on these two thermometers? a) C C -5 0 C 0 0 C 5 0 C b) C C 0 0 C 20 0 C 40 0 C

2 7) Whilst touring Alaska, I noticed the temperature rose from 24 0 C late at night to 12 0 C around mid-afternoon on the following day. By how many degrees had the temperature risen? 8) Dorothy s bank balance near the end of December showed an overdraft of 547. Her bank book showed this as (- 547). She paid a gas bill of 288 which made her overdraft worse, but her monthly salary of 1550 which was paid directly into her bank account made things better. What is her new bank balance, as shown in her bank book? Fractions, Decimals & Percentages 9) Write each of the following fractions in their simplest form: a) = b) = c) = ) Calculate the following: a) of 400 cm b) of 27p c) of 120 m ) Calculate, showing how you got your answer. a) 14% of 350 b) 35% of 380 c) 4% of ) Write these percentages as fractions and then express each fraction in its simplest form: a) 30% b) 7.5% c) 150% 13) Of the 250 apple trees in an orchard 200 were blown down by hurricane winds during the night. What percentage were left standing?

3 14) From a 20 note, I spent 12 of it going to the pictures. What percentage do I have left? Ratio 15) Write down the ratio of squares to circles in : a) b) 16) Simplify each ratio as far as possible:- a) 7:42 b) 9:39 c) 240:320 d) 4 ½ : 1 ½ 17) At a school disco, the ratio of water to fruit juice sold was 5:2. There were 30 bottles of water sold. How many bottles of fruit juice were sold? 18) The ratio of silver to copper coloured coins in a bag is 4:3. There are 42 coins altogether in the bag. How many silver and how many copper coins are there?

4 Sequences 19) Ruth the restaurant owner is considering the number of tables she will need to seat her customers. She draws up some plans which are shown below. 1 Table 2 Tables 3 Tables 4 customers 6 customers 8 customers a) Copy the table below and fill in the blank spaces. Tables(T) Customers(C) b) Find the missing numbers to give you a rule. Customers =. Tables + c) Use your rule to calculate how many customers you would have round 10 tables.

5 Algebra 20) Simplify the following: a) 12x 4x b) 7x + 6x - 13 c) 3x 2 + 2y 2 + x 2 y 2 21) What number should come OUT of this number machine? OUT 22) What number must have gone IN this number line? IN x ) For a = 6, b = 2 and c = 8, calculate the value of : a) 2c - a b) 2a + 3c 32 c) a 2 b 2 24) Find the value of x by solving these equations: a) x 7 = 1 b) 3x + 8 = 17 c) 2 1 x 7 = 1 d) 6x + 5 = 35 e) 7x 4 = 38 f) 5 1 x + 3 = 6 Speed, Distance, Time 25) Calculate how far was travelled in each of these cases. (Calculation and units required) a) Ann drove for 3 hours at an average speed of 40 mph. b) Gavin the greyhound ran at an average speed of 18 metres per second for 10 seconds.

6 26) Now calculate how much time each of these took. (Calculation and units still required) a) Helen drove 300 miles at an average speed of 50 mph. b) Terry walked 20 km at an average speed of 4 km per hour. 27) Calculate the speed each of these was travelling at. (Calculation and units still required) a) Susie drives 90 miles in 2 hours. b) Brian jogs 24 metres in 8 seconds. c) Sol the Slug crawls 10cm in 2½ hours. 28) A florist delivery van took one hour 30 minutes to deliver flowers. If the van travelled 225 miles altogether, calculate the van s average speed. Area, Volume 29) Calculate the area of the shapes below. a) b) 6cm 8cm 7cm 9cm

7 30) Calculate the total area of these shapes. a) 4cm b) 5cm 5cm 3cm 3cm 10cm 7cm 2cm 31) Calculate the volume of these cuboids. (b is a cube) a) b) 5cm 8cm 3cm 6cm Angles 32) In the diagram below, LPHY is a right angle. If LPHG is 65 o, calculate the size of LGHY. P G H Y

8 33) If LTBM is 48 o, calculate the size of LTBD. T M B D 34) In diagram below, LMKP = 75 o. Name and calculate the size of the other angles in the diagram. M P K J R 35) Calculate the size of the missing angle in each of these shapes. a) 56 o 84 o b) 65 o 115 o 95 o

9 36) Copy the diagrams below and fill in all the missing angles. a) 140 o 85 o 35 o b) 68 o 134 o

10 Mean 37) Calculate the mean and range of the following set of data a) 35kg, 42kg, 42kg, 51kg, 29kg, 36kg, 52kg b) 1085, 1096, 1214, 1125, 1215, 1084 c) 8.6cm, 7.4cm, 9.6cm, 8.7cm, 5.2cm, 6.1cm, 9.2cm, 5.1cm 38) A vegetable grower tries a new fertiliser on some of his plants. Shown below are the weights in kilograms, of 2 samples of plants, one with his old fertiliser and one with his new one. Old Fertiliser (Kg)} New Fertiliser (Kg)} a) Calculate the mean weight of vegetables for each of the 2 samples b) Has the new fertiliser worked and if so, by how much has the average weight of vegetables increased? 39) Five athletes see how many press ups they can manage. The results are as follows: a) Calculate the mean amount of press ups. Five players from the local pub domino team see how many press ups they can manage. b) Do you think the mean for the domino players will be higher or lower than the athletes? Give a reason.

11 Line graphs 40) a) What is the title of this line graph? b) Over how many days was the temperature measured? c) What is the range of the temperatures recorded? d) On what day did the temperature dip?

12 41) a) What is the title of this line graph? b) At what times does the shop open and close? c) At what time is the shop busiest? d) How many customers did the shop have that day?

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