* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Question 1 - Worle Community School
Survey
Document related concepts
Numbers (TV series) wikipedia , lookup
History of mathematical notation wikipedia , lookup
List of important publications in mathematics wikipedia , lookup
Mathematics and architecture wikipedia , lookup
Philosophy of mathematics wikipedia , lookup
Mathematics and art wikipedia , lookup
History of mathematics wikipedia , lookup
Mathematics wikipedia , lookup
Critical mathematics pedagogy wikipedia , lookup
Foundations of mathematics wikipedia , lookup
Secondary School Mathematics Curriculum Improvement Study wikipedia , lookup
Transcript
Worle Mathematics Department Year 8 End of Year Exam Revision Guide Level 3-5 to 6-8 Calculator L3-5 Question 1 • Three circles in a straight line ADD UP TO 100 • Write in the missing numbers 20 40 30 40 Worle Mathematics Department L3-5 Question 2 Cost of Card A B C D E Cost £1.00 £1.50 £2.00 £2.50 £3.00 Worle Mathematics Department a) Fred buys two A cards and 2 B cards, altogether how much did they cost? b) Adam pays for one B, one D and one E card. He pays with a £10.00 note, how much change will he get? c) Karen pays for two cards that cost exactly £3.50. Write the two possible combination of cards Karen buys. L3-5 Question 3 Copy the diagram and draw the ONE LINE OF SYMMETRY Here is the same diagram after a QUARTER-TURN CLOCKWISE. Draw the diagram showing it after ANOTHER QUARTERTURN CLOCKWISE Worle Mathematics Department L3-5 Question 4 25m 20m 15m 10m X X X X X O X X Worle Mathematics Department X The diagram shows the result of a game of bowls. The O indicates the centre of scoring ring. a) About how close is the closest X? b) How many bowls landed between 10m and 20m? c) About how much further is the closest bowl to the one furthest away? L3-5 Question 5A Use the digits above to complete these calculations. Worle Mathematics Department L3-5 Question 5B • Now tries these. You can use the same card twice. Worle Mathematics Department L3-5 Question 6 a) Which measurement below is most likely to be the MAN’s height? b) Which measurement below is most likely to be the HEIGHT of the BUS? 0.6 metres 1.8 metres 2.9 metres 4 metres 1.5 metres 4.5 metres 11 metres 20 metres Worle Mathematics Department L3-5 Question 7 a) Sarah has one 20p coin, one £1 coin and some 10p coins. Altogether she has £1.50. – How many 10p coins does she have? b) If she spends £1.15 what combination of coins could she use, and how much change would she get? Worle Mathematics Department L3-5 Question 8 FIRST WAY SECOND WAY THIRD WAY FOURTH WAY Number of 20p coins Number of 10p coins Number of 5p coins. 3 3 3 3 1 4 Show the different ways to make 90p using 3 20p coins and 10p and 5p coins. The first has been done for you. Worle Mathematics Department L3-5 OK Fine Question 9 Good Very Good Excellent Worle Mathematics Department A sample of students were asked how they rated their maths teacher. a) What % rated them as Excellent? b) What % rated them as Fine AND Very Good? L3-5 Question 10 • Fill in the boxes to complete each number chain. Use any of the following: 35 350 Worle Mathematics Department 350 35 25 L3-5 & 4-6 Question 11 A B C Worle Mathematics Department D Jane has a piece of card that is blue on one side and white on the other. She cuts out shape A from the card. She turns over the shape, select the letters that show the white side of Jane’s shape. L3-5 & 4-6 Question 12 Fill in the missing number 5 -2 -5 +8 +5 __ Worle Mathematics Department 2 __ L3-5 & 4-6 Question 13 The area of shape A is 5cm2 what is the area of shape B? How many squares will be in a shape which has an area 20cm2 Worle Mathematics Department L3-5 & 4-6 Question 14 • Fill in the missing digits in each calculation 2 8 x 2 = 5 6 x 2 = 5 2 x 2 = 4 Worle Mathematics Department L3-5 & 4-6 Question 15 • I arrived at 8:00am. By the time I left the MINUTE hand of the clock had TURNED 360° What time did I leave? • I left the house at 6:00pm, by the time I arrived back the HOUR hand at TURNED 90° What time did I arrive back? Worle Mathematics Department L3-5 & 4-6 Question 16 A number chain starts 1 3 11 To find the next number you use the following rule: x 4 then - 1 A) Here is a different number chain, what is the rule? 2 4 8 16 Worle Mathematics Department L3-5 & 4-6 & 5-7 Question 17 • Join the pairs that add to 1 0.25 0.1 0.01 0.14 0.6 0.99 0.86 0.75 0.9 0.4 Worle Mathematics Department L3-5 & 4-6 & 5-7 Question 18 • Join the pairs that multiply to equal 2 1 4 0.5 8 0.1 40 0.25 2 0.05 20 Worle Mathematics Department L3-5 & 4-6 & 5-7 Colour Pairs Black 5 White 2 Brown 4 Red 2 Blue 5 Pink 2 Question 19 • Sarah has 20 pairs of shoes. • Sarah takes a pair at random A) What is the probability that the pair of shoes is red? B) What is the probability that the pair of shoes is not red? Worle Mathematics Department L3-5 & 4-6 & 5-7 A 4 2 Question 20 Amy has some water in jug A. B She pours into Jug B, what is the correct water level? Worle Mathematics Department L3-5 & 4-6 & 5-7 Question 21 Lisa has some boxes that are all cubes of the same size. She uses 4 boxes to make a pile of height 56cm. She puts one more box on the pile, what is the height of the new pile? Where do you think Lisa works? Worle Mathematics Department L3-5 & 4-6 & 5-7 Question 22 a)Work out 5% of 200 b)Work out 15% of 200 – Can you use part(a) to help you? Worle Mathematics Department L3-5 & 4-6 & 5-7 Question 23 • Write the numbers to make them correct. B A 10 15 10 4 8 14 C 6 20 Worle Mathematics Department L3-5 & 4-6 & 5-7 Question 24 A Work out the angles x, y & z x z B Worle Mathematics Department 60° y C L3-5 & 4-6 & 5-7 Question 25 Worle Mathematics Department 4-6 & 5-7 & 6-8 Question 26 Subtract 0 Add 0 Add 4 Subtract 4 Add -4 Subtract -4 Worle Mathematics Department 4-6 & 5-7 & 6-8 Question 27 • Pupils are investigating what is a typical student’s (aged 11-16) favourite program. Here is their plan: PLAN Choose one year group, and ask one mentor group. Give two reasons why this sample of student’s may not be representative of all students Worle Mathematics Department 4-6 & 5-7 & 6-8 Question 28 y x 7.1cm 3cm Worle Mathematics Department • The total area of the rectangle is 30cm2 work out the lengths of x and y. 4-6 & 5-7 & 6-8 Question 29 a. The counters are the same in each bag. Work out the value of y B b. Bag A contains more counters than Bag B. What is the smallest value for k? C Worle Mathematics Department D 4-6 & 5-7 & 6-8 Question 30 • You win a million pounds • You spend £40,000 on a holiday (you take a few friends) • Then you spend half of the money left on a house. • How much do you spend on a house? Worle Mathematics Department 4-6 & 5-7 & 6-8 Question 31 Which scatter graph shows a positive correlation? Which scatter graph shows a stronger correlation? EXPLAIN YOUR ANSWER Worle Mathematics Department 4-6 & 5-7 & 6-8 Question 32 The table shows information about the shapes Shape Number N Base B 1 3 2 3 2 3 3 4.5 3 3 4 6 4 Height H Area A 3 5 7.5 Worle Mathematics Department Rules connect N, B, H and A. Write one missing letter to complete the rule H = ______ + 1 A = ______ x 1.5 ___ = H x B ÷ 2 4-6 & 5-7 & 6-8 Question 33 • Look at this information: Use this information to write the missing DECIMALS below Worle Mathematics Department 4-6 & 5-7 & 6-8 Question 34 Worle Mathematics Department 4-6 & 5-7 & 6-8 Question 35 • On this bracelet the ratio of black beads to white is 1:4 a) How many MORE black beads do you need to add to make the ratio of black to white 4:1? b) How many MORE black and white beads do you need to add to make the ratio of black to white 4:2? Worle Mathematics Department 5-7 & 6-8 Question 36 Question 37 Worle Mathematics Department 5-7 & 6-8 Question 38 Goals Scored The number of goals scored is added to the previous match in a netball tournament. The graph shows the 6 matches played and the total goals scored after each match. a) How many goals were scored by match 3 b) Another teams goals are plotted and it is a straight line. What can you say about this team? Netball Matches Played Worle Mathematics Department 5-7 & 6-8 Question 39 4cm • The vertices of the rhombus are at the midpoints of the sides of a rectangle. 8cm • What is the area of the shaded rhombus? Worle Mathematics Department 5-7 & 6-8 Question 40 A) Philip thinks of two numbers. His two numbers have a NEGATIVE SUM, but a POSITIVE PRODUCT. Give an example of what his two numbers could be. B) Tom thinks of two different numbers. His two numbers have a POSITIVE SUM, but a NEGATIVE PRODUCT. What could his numbers be? Worle Mathematics Department 5-7 & 6-8 Question 41 a. The mean of 4 numbers is 10. I added one more number and the mean is now 11. What number did I add? b. The mean of 6 numbers is 20, I added one more number and the mean is now 21. What number did I add? Worle Mathematics Department 5-7 & 6-8 Question 42 Worle Mathematics Department 5-7 & 6-8 Question 43 3a Worle Mathematics Department 5-7 & 6-8 Question 44 Worle Mathematics Department 6-8 Question 45 a. I have two fair four sided dice, the numbers on the dice are 2, 3, 4 and 5. I am going to roll the dice and multiply the scores. What results might you get? b. What is the probability that the product is a multiple of 2? Worle Mathematics Department 6-8 Question 46 Worle Mathematics Department 6-8 Question 47 Worle Mathematics Department 6-8 Question 48 3cm 4.5cm 9cm Worle Mathematics Department • In the diagram triangle BDC is mathematically similar to triangle ACE. What is the length of BD? 6-8 Question 49 A cyclist went 2km up a hill at 20km per hour. She then went 2km down the hill at 30km per hour. • Show that her average speed for the 2km was 24km per hour. Worle Mathematics Department Q Answer Q Answer 1 40, 30, 30, 40 13 a) 10 b) 16 2 a) £5.00 b) £3.00 c) £1.50 + £2.00 & £1.00 + £2.50 14 a) 26 b) 24 & 48 3 a) Line of symmetry vertically down the middle b) Right way up T 15 a) 9:00am b) 9:00pm 16 a) X 2 17 0.01-099 0.6-0.4 0.86-0.14 0.9-0.1 18 0.5-4 0.1-20 0.1-20 0.25-8 0.05-40 19 a) 2/20 – 1/10 b) 18/20 – 9/10 4 a) About 3-4m b) 4 c) about 23m 5 Any combination which gives correct answer 6 a) 1.8 b) 4.5m 7 a) 3 b) £1.00, 10p & 10p or £1.00, 20p 20 1000ml 8 2,2 3,0 0, 6 21 80cm 9 a) 50% b) 25% 22 a) 10 b) 30 10 a) x10 then ÷10 b) ÷10 then -10 23 a) 5, 5, 25 b) 1, 9, 5 c) 4, 4, 10 11 B&C 24 X=90, y=30, z=30 25 A=7 b=2 12 +3 +7 then -3 & 5 Worle Mathematics Department Q Answer Q Answer 26 a) Subtract -4 b) Add -4 39 16 27 Only looks at one specific age group and only one mentor group is represented 40 a) -4, -5 b) 4. -8 (for example) 41 a) 15 b) 27 28 X=30 y=2.9 42 X=3 and y=4 29 a) y=3 b) 10 43 a) P=24a b) a=2 c) 48cm2 30 £480,000 44 31 B&A 32 H=N+1, A=Nx1.5 A=HxB÷2 33 a) 0.68 b) 0.54 34 a) Ii b) iii 35 a) 15 b) Add 7 black beads 36 a) 64 – 16 = 48 b) 100 37 2+2 = 4 38 a) 45 b) Scored the same in every Worlegame Mathematics Department 45 a) 4, 6,6,8,8,10,10, 9,12,12,15,15,16,20,20 b) 12/15 = 4/5 46 a) x=9 b) 47 A=(0,-5) B=(1,-5) 48 6cm 49 X=90, y=30, z=30 25 A=7 b=2