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Worle Mathematics Department Year 7 End of Year Exam Revision Guide Levels 3-5 to 5-7 Non-Calculator L3-5 Question 1 a. How much money do you have? b. How many €5 phone cards can you buy? c. EXTENSION: How much change will you get from €100 if you bought a phone for €79.99 NUMBER Worle Mathematics Department Question 2 L3-5 6 10 14 a. What are the next three numbers in the sequence? 9 7 5 b. What are the next three numbers in the sequence? ALGEBRA Worle Mathematics Department 1 x 24 = 24 Question 3 2 x 24 = 48 Use the 24 times table opposite 3 x 24 = 72 to answer the following: 4 x 24 = 96 5 x 24 = 120 6 x 24 = 144 7 x 24 = 168 8 x 24 = 192 9 x 24 = 216 10 x 24 = 240 L3-5 a.168 ÷ 7 = b.216 ÷ 24 = c.24 x 12 = NUMBER Worle Mathematics Department L3-5 Question 4 Cinema Times Length of show The Croods 11:30am 1:15pm 3:00pm 1 hour 30 minutes The Lego Movie 2:00pm 3:45pm 1 hour 15 minutes Epic 4:00pm 5:30pm 1 hour 20 minutes a. You go to see The Croods at 11:30am, what time does the film finish? b. One of the movies finishes at 3:15pm which movie is this? c. You need to be out of the cinema by 3:30pm which films can you go and see? NUMBER Worle Mathematics Department L3-5 Question 5 At a fair ground each ride requires tokens which cost 25p a. How many tokens can you get with £4.00 b. Your favourite ride requires 2 tokens, how many times can you go on the ride if you have £2.00 c. You have 10 tokens, how much are they worth? Worle Mathematics Department 36 12 6 Question 6 L3-5 54 23 14 15 20 18 44 24 a. List all the numbers which are divisible by 4. b. List all the numbers which are divisible by 6 Worle Mathematics Department 48 L3-5 & L4-6 Question 7 Model at Legoland Approximate Lego Pieces Space Shuttle Launch Houses of Parliament Edinburgh Castle Millennium Falcon Dutch Windmill 5,000,000 500,000 50,000 5,000 500 a. Which model uses about Fifty Thousand pieces? b. The model of the Houses of Parliament is 100 times bigger than which model? c. The Space Shuttle is about ________ times bigger than the Millennium Falcon. Worle Mathematics Department SUM OF NUMBERS IN MIDDLE ROW 10 8 Question 8 FIND THE MISSING NUMBERS 2 C 16 PRODUCT OF NUMBERS IN MIDDLE ROW 5 12 A 7 B 6 6 8 Worle Mathematics Department L3-5 & L4-6 L3-5 & L4-6 Question 9 c) Order these fractions smallest to largest d) Order these fractions smallest to largest Worle Mathematics Department L3-5 & L4-6 Question 10 • A three digit number is a multiple of 3. a. What could the number be? b. Now give a different example. • A two digit number is a factor of 120 c) Give two possible answers. Worle Mathematics Department L3-5 & L4-6 Question 11 1.5 + 1.5 + 1.5 = + Worle Mathematics Department + = 10.5 L3-5 & L4-6 Question 12 a) Only a rectangle has four right angles. b) A triangle cannot have a right angle Worle Mathematics Department TRUE OR FALSE TRUE OR FALSE L3-5 , L4-6 & L5-7 Question 13 Worle Mathematics Department L3-5 , L4-6 & L5-7 Question 14 X 10 3 30 2 300 90 20 6 300 + 90 + 20 + 6 = 416 20 X 20 1600 Worle Mathematics Department 3 12 Answer = ??? L3-5 , L4-6 & L5-7 Question 15 Worle Mathematics Department L3-5 , L4-6 & L5-7 Question 16 a) Add two numbers to equal -10 –Now try two different numbers. b) Subtract two numbers to equal -10 –Now try two different numbers Worle Mathematics Department L3-5 , L4-6 & L5-7 Question 17 Area = 32cm2 • Give three DIFFERENT possible measurements for the base and height of this rectangle. Worle Mathematics Department L3-5 , L4-6 & L5-7 Question 18 a) What is 50% of 60? b) 10% of 60 = ______ c) What is 5% of 60? d) 1% of 60 = _______ e) What is 66% of 60? Worle Mathematics Department L3-5 , L4-6 & L5-7 Question 19 Jar A holds 48 sweets Jar B holds 36 sweets Worle Mathematics Department Jar C holds 12 sweets Jar D holds 6 sweets L4-6 & L5-7 Question 20 Draw a line on the graph which represents a speed of 40km/hour Draw another line on the graph which represents 100km/hour Worle Mathematics Department L4-6 & L5-7 Question 21 • The ratio of blue to white is 4:1, what % of the design is white? • In this design, 40% is white and the rest is blue. What is the ratio of blue to white? Worle Mathematics Department L4-6 & L5-7 Question 22 Sweets Number of sweets Lemon 4 Probability Strawberry Apple 6 a) Complete the table b) How will the probability of getting a Lemon Sweet change if you add an extra Strawberry Sweet? Worle Mathematics Department L4-6 & L5-7 Question 23 70° DON’T FORGET TO GIVE YOUR REASONS!!! b c a Work out the sizes of angles a, b and c Worle Mathematics Department 120° L4-6 & L5-7 Question 24 Worle Mathematics Department L4-6 & L5-7 Question 25 3cm 5cm b a • Is the area of the circle a) π x 8? Give your reasons. • What is the area of the second circle b) leave you answer using π? Worle Mathematics Department L5-7 Question 26 5n n(n + 4) 2 n +4 5, 12, 21, 32, 45 5, 8, 13, 20, 29 5, 10, 15, 20, 25 MACTH THE NTH TERM TO THE CORRECT SEQUENCE Worle Mathematics Department L5-7 Question 27 p 120° Here is a Rhombus. a) What shape is created if you join the midpoint of two of its sides? b) Does this help you find the angle P? Worle Mathematics Department L5-7 Question 28 Worle Mathematics Department L5-7 Question 29 Draw two points on your page, show the points which are the SAME DISTANCE from both points. Draw two lines on your page which are joined at a point, show the points which are the SAME DISTANCE from both lines. Worle Mathematics Department L5-7 Question 30 • The rectangle is cut to make two rectangles, A & B. • The ratio of area A to area B is 5:1 • What is the area of both rectangles? Worle Mathematics Department AREA = 2 48cm Q ANSWERS 1) a) 135 b) 27 c) 20.01 2) a) 18, 20 , 24 b) 3, 1, -1 3) a) 24 b) 9 4) a) 1pm b) The Lego movie 4c) The Croods or The Lego Movie 5) a) 16 b) 4 c) £2.50 6) a) 12, 20, 24, 36, 48 6) b) 6, 12, 18, 24, 36, 48, 54 7) a) Edinburgh Castle 7) b) Millennium Falcon 7) c) 1000 8) a) 5, 35 b) 2,4 c) 11, 30 9) a)2/8 and 3/12 9) b) 1/2 9) c) 1/5, ¼, 1/3, 1/2 9) d) 2/5, 2/3, ¾, 3/2 c) 288 Worle Mathematics Department Q ANSWERS 10) a) 144 b) 102 c) 12 & 10 11) 4.5 and 3.5 12) a) FALSE b) FALSE 13) a) 24 b) 6 c) 36 d) 17 e) -7 14) 4, 400, 8000, 400, 80, 60 (10156) 15) a) 1/10 16) a) -15 + 5 -12 + 2 b) -5 -5, -3 -8 17) 8x4, 16x2, 32x1 18) a) 30 b) 6 c) 3 d) 0.6 e) 39.6 19) a) 1/6 b) ¼ c) 3/4 20) a) 20% b) 3:2 22) a) 2, 3/6, ½ b) 4/13 23) a) 60 – AOASL b) 70 OA c) 50 AIAT 24) a) 1/9, 1/10 & 1/11 b) 9% b) red Q Answer 25) a) No because 3x3 = 9 25) b) 25π 26) 5n – bottom, n(n+4) – top, n2 + 4 middle. 27) a) Isosceles Triangle b) 150 28) a) 8 b) 10/24 -> 5/12 29) Construction marks 30) A – 40 B-6 Worle Mathematics Department