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Worle Mathematics Department Year 7 End of Year Exam Revision Guide Levels 3-5 to 5-7 Calculator L 3-5 Question 1 Complete the sequences A) ADD 4 to the last number 2 6 10 B) Double to last number and add 2 2 6 14 C) Multiply the last number by 4 and subtract 1 2 7 Worle Mathematics Department 27 L 3-5 Question 2 The table shows where Bob has to be on different days of the week Location Mon Tue Wed Thu Fri Sat Swimming Pool Cinema School Band Practice a. Which days does Bob go to Band Practice? b. Which two things does Bob do on Sunday? c. On Saturday Bob books his next cinema visit, how many days is it to Bob’s next cinema visit? Worle Mathematics Department Sun L 3-5 Question 3 a. Which shape is the only shape with three sides? b. Which shape has a reflex angle? c. Which shape has four lines of symmetry? Worle Mathematics Department L 3-5 Question 4 Dec Jan Nov Feb Oct Mar Apr Sep Aug May Jul Jun Worle Mathematics Department Pumpkin seeds and sunflower seeds are planted at different times of the year. The shaded part of the chart shows when to sow the seeds. a) How many months have you got to sow the pumpkin seeds? b) You can sow sunflower seeds for over half of the year, is this TRUE or FALSE? L 3-5 FUN FAIR Adult - £10.50 Child - £4.50 Senior - £5.50 Question 5 a. Two adults go to the fun fair with three children. What is the cost? b. Three adults go to the fair with some children. Altogether their tickets cost £54, how many children went to the concert? c. How much change would you get from £20 if two senior citizens went to the fair? Worle Mathematics Department L 3-5 Question 6 Draw the scale and indicate The scale shows how much where 325g would be. flour is needed for the recipe. How much flour do The cake needs 2.5 hours to bake, you need? if you put it in at 10:00am what time will the cake be ready? Worle Mathematics Department L 3-5 Number Sold Sherbet Dips 20 Lollipops 13 Gobstoppers 9 Number sold Sweets 0 Sweets Worle Mathematics Department Question 7 Write the missing information on the bar chart below. L 3-5 & L4-6 Question 8 7 a. Write down the coordinates for the points A, B and C 6 C 5 4 b. Point D can be marked to form a rectangle ABCD. What is the coordinate of D? 3 B 2 1 1 3 2 4 Worle Mathematics Department A 5 6 7 L 3-5 & L4-6 Question 9 The diagram shows two congruent ‘L – tiles’ fit together to make a rectangle. How do these shapes fit together to make the following shape? Draw two other congruent shapes and fit them together to make another shape. Worle Mathematics Department L 3-5 & L4-6 Question 10 Here are the names of students in a class: Bob Bob Kevin Sharon Kevin Fred Kevin Claire Tom Harry Tracy Gary a) Which name is the mode? One person leaves and a different person joins. The new mode is Bob. b) Who left and who joined? Worle Mathematics Department L 3-5 & L4-6 Question 11 You have: 5 bags of sweets Each bag contains 10 sweets Each sweet weighs 6g a) How many bags of sweets do you have? 5 6 x 10 x 5 5 x 10 6 x 10 b) How many sweets do you have all together? 6 +10 + 5 c) How much does EACH bag of sweets weigh? Worle Mathematics Department d) How much does ALL 5 bags of sweets weigh? L 3-5 & L4-6 Question 12 a) Write values for a and b to make the equation true. Worle Mathematics Department L 3-5 & L4-6 Question 13 This a shape. I turn the shape 45° clockwise. Write the letter of the correct shape. A Worle Mathematics Department B C L 3-5 & L4-6 Question 14 COMPLETE THE TABLE Cost of each Number bought Item 1 3.95 6 Item 2 2.30 Item 3 32.20 5 TOTAL Worle Mathematics Department TOTAL COST 25.00 L 3-5 & L4-6 Question 15 75% - NO 25% - YES a) Here is Tom’s results from a survey. 33 people said NO, how many said YES Sarah asked 10 people: “Do you like maths?” RESULTS: 6 people said NO 3 people said YES 1 person said I DON’T KNOW 0% 20% 40% Worle Mathematics Department 60% b) Complete the % bar chart to show these results 80% 100% L 3-5 & L4-6 & L5-7 Question 16 Worle Mathematics Department The graph shows the date each year that bluebells were first seen a) On what dates in 1993 & 1996 were bluebells first seen? b) The warmer the weather the earlier the bluebells appear. What can you say about the weather in 1999? L 3-5 & L4-6 & L5-7 Question 17 a) Here is an expression, which expression below shows it written as simply as possible 5a + 4 + 2a 8a + 1 11 + a 11a 5a + 6 7a + 4 b) What about this one? Worle Mathematics Department 7(a + 4) 6a + 3 + 2a - 2 L 3-5 & L4-6 & L5-7 Question 18 700 g 0.5 kg a) Which object weighs the most and by how much (give your answer in g) b) How many millilitres in a litre? c) How many metres in a kilometres? d) How many millimetres in a metre? e) Would you prefer to run 2 miles or 3km? Worle Mathematics Department L 3-5 & L4-6 & L5-7 Question 19 Write down all the properties of an equilateral, isosceles and right-angled triangle Can an isosceles triangle also be a rightangled triangles? If yes, what can you say about the angles? Worle Mathematics Department L 3-5 & L4-6 & L5-7 Question 20 WRITE DOWN THE PROBABLITY OF SPINNING A GREY FOR EACH SPINNER WRITE DOWN THE PROBABLITY OF SPINNING A WHITE FOR EACH SPINNER . What do you get if you add the probability of getting a WHITE with the probability of getting a GREY for each spinner? Worle Mathematics Department L 3-5 & L4-6 & L5-7 Question 21 a) How many faces does this shape have? Draw a shape which has 6 faces Draw a shape which has 5 faces Worle Mathematics Department L 3-5 & L4-6 & L5-7 Question 22 a) How much will a 4 year old plant cost? b) If the plant costs £15 how old could the plant be? Height (metres) Age (years) COST 80cm – 139cm 140cm - 199cm Over 200cm £10.00 £15.00 £25 Worle Mathematics Department L 3-5 & L4-6 & L5-7 Question 23 4cm a)What is the side length of a square which has the same AREA as this rectangle? 9cm b) What is the side length of a square which has the same PERIMETER as this rectangle? 2cm Worle Mathematics Department 14cm L 3-5 & L4-6 & L5-7 Question 24 One shop sells a pack of 9 toilet rolls for £3.60. Another shop sells a pack of 6 toilet rolls for £2.20. a) Which gives the best value for money? b) How much will you pay for 18 toilet rolls? Worle Mathematics Department L 3-5 & L4-6 & L5-7 Question 25 1 105° 25° 45° 2 98° 32° 50° 3 102° 20° Worle Mathematics Department 55° Which of these three options will make a straight line when put together? L4-6 & L5-7 Question 26 Worle Mathematics Department L4-6 & L5-7 Question 27 40 people were asked whether they watched the news: News Program Breakfast News Number of people 26 News at Ten Neither 10 4 Worle Mathematics Department Represent this data in a pie chart L 3-5 & L4-6 & L5-7 Question 28 Worle Mathematics Department L4-6 & L5-7 Question 29 4cm 5cm 4cm 20cm What is the area of the parallelogram, please give correct units? Worle Mathematics Department L4-6 & L5-7 Question 30 Worle Mathematics Department L5-7 Question 31 a)What % of students have an iPhone? Number of students that have Number of students that an iPhone don’t 21 b)Complete the table c)What % have an iPhone 5, round to 1 d.p. 9 iPhone Type Number of students 4gs 5 5s 16 2 Worle Mathematics Department L5-7 Question 32 There are black, red, blue, yellow and green balls in a bag. There is the same number of red balls as green. Below shows the probability of randomly selecting one of the balls. Black 0.3 Red Blue 0.2 Yellow 0.2 Green a) Complete the table. Red Blue Bag 1 Bag 2 7 6 8 7 Worle Mathematics Department b) If a ball is selected at random which bag is MORE LIKELY to give a red ball? Show workings. L5-7 Question 33 Worle Mathematics Department L5-7 Question 34 A ticket costs 15p. The machine takes 10ps and 5ps. At the end of a day the ticket machines is emptied. It has 17 – 10ps, and 41 – 5ps. How many people paid with 3 5ps? How many people bought a ticket? Worle Mathematics Department L5-7 Question 35 • Work out the volume of the shapes below. 2cm 3cm 4cm 2cm 2cm 8cm Worle Mathematics Department L5-7 Question 36 a) Draw another line which has the same gradient as the one shown. Worle Mathematics Department Q ANSWERS 12a) Any combination that gives the correct answer, 3 & 8. Q ANSWERS 1) a) 14, 18 b) 30, 62 c) 107, 415 2 a) Tuesday & Sunday 12) b) 15 c) 3 2 b) Swimming & Band Practice 13) C 2c) 4 days 14) £23.70, 14, £5.00, £80.90 3a) Orange Triangle 15a) 8 3b) Pink Pacman 16a) 7th Feb & 18th Feb 3c) Red Square 16b) It was warm 4) a) 4 months b) TRUE 17a) 7a + 4 5) a) £34.50 b) 5 c) £9.00 17b) 8a + 1 6a) a) 150g c) 12:30pm 18a) Square by 200g 7a) Lollipops, Sherbet Dips, Gob Stoppers. 5,10,15,20 in y axis 18b)c) d) 1000 8a) (5,1) (3,2) (5,5) D – (7,4) 18d) 3km 10a) Kevin 19) Use Google to find 10b) Kevin leaves and Bob joins 11) a) 5 b) 5x10 c) 6x10 d) 6x10x5 Worle Mathematics Department Q Answer Q Answer 20a) 2/3, ¾ , 3/5, 5/8, 1/3 29) 16 x 5 = 80cm 20b) 1/3, ¼, 2/5, 3/8, 2/3 30) k=5, s=2, FALSE 20c) 1 31) a) 70% b) 2 c)76.2% 21a) 8 32) 1.5, Bag 1 22a) £15.00 33) a)192 b) 288 22b) Between 3.5 and 5 years. 34) a) 8 b) 25 23) a) 6cm b) 8cm 35) a) 56 b) 66 24a) a) Pack of 6 b) £6.60 36) b) 5 c) y=2x + 10 25) 2 26) a) 2 b) 6 c) 9 d) 16 27) 234°, 90, 36° 28) a) 3,2 b) 5,2 Worle Mathematics Department