Rosyth School First Semestral Assessment 2011 Primary 6 Mathematics

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1 Rosyth School First Semestral Assessment 2011 Primary 6 Mathematics Name: Register No. Class: Pr 6- Date: 11 May 2011 Parent's Signature: Total Time for Booklets A and B : 50 min PAPER 1 (Booklet A) Instructions to Pupils: 1. Do not turn over this page until you are told to do so. 2. Follow all instructions carefully. 3. Answer all questions. 4. Shade your answers in the Optical Answer Sheet (OAS) provided. 5. You are not allowed to use a calculator Section Maximum Mark Marks Obtained Paper 1 (Booklet A) 20 This booklet consists of 7 pages (excluding this cover page) This paper is not to be reproduced in part or whole without the permission of the Principal. 77

2 Questions 1 to 10 carry 1 mark each. Questions 11 to 15 carry 2 marks each. For each question, four options are given. One of them is the correct answer. Make your choice (1, 2, 3 or 4). Shade the oval (1, 2, 3 or 4) on the Optical Answer Sheet. (20 marks) J , 1 Express 3g + ^qq +^qqq as a decimal. (1) (2) (3) 4.06 (4) % is the same as (1) 0.7 (2) 0.07 (3) (4) The ratio 24:18:54 is the same as (D 3:2:7 (2) 4:3:9 (3) 6:9:18 (4) 8 : 6 : 27 7*

3 4 Express 24% as a fraction in its simplest form. (1) (2) (3) 6 25 (4) Which of the following nets can be folded into a prism? (a) (b) (c) (d) (1) a (2) b (3) c (4) d *>

4 6 Elijah had $m at first. He bought 5 pens at n cents each. How much money had he left? (1) $(m-n) (2) $(m-5/?; (3) $(m-0.5n; (4) $(m-0.05n) 7 Express 245 as a percentage of (1) % (2) 2.45 % (3) 24.5 % (4). 245 % 8 What is the missing number in the box? 9 9 9? I x 9 (D I (2) 7 (3) 3 (4) 8 SI

5 9 The figure below is made up of 3 se. -»i-circles, each of radius 7 cm. Find the perimeter of the figure. (Taxe : = ) (1) 66 cm (2) 88 cm (3) 108 cm (4) 231cm 10 The bar graph shows, the number of. pupus in the different houses in a class. -, % 1 r Richards Phillips Kovan Glasgow Jansen How many more pupils are in Richards house than in Glasgow house? Express it as a percentage of the total number of pupils in the class. (1) 2.5% (2) 5% (3) 7.5% (4) 10% *v

6 11 120% of a number is 114. What is the number? (1) 95 (2) 100 (3) 114 (4) The table below shows the parking charges of a car at a shopping mall. Time Parking charges First hour $2.50 Every additional half hour or part thereof $1.20 How much is the parking charges for 3 hours 20 minutes? (1) $8.50 (2) $8.70 (3) $9.90 (4) $10.00 s>

7 13 Tina bought a dress at a discount of 10%. She paid $63 for it. Siti bought a similar dress from the same shop and paid $56. What was the percentage discbiiht for'siti's dress? (1) 10% (2) 12.5% (3) 20% (4) 25% 14 Tap A can fill - ofa tank in 2 minutes. Tap B can fill ofthe same k 3 2 tank in 3 minutes. Both taps were turned on at the same time. How long will it take for both taps to fill the empty tank? (1) 2'I minutes 6 (2) 3 minutes (3) 5 minutes (4) 12 minutes l*

8 15 The following graph shows the monthly savings of Hannah during the first half of If Hannah saved an average of $60 during the second half ofthe year, how much in total did she save for the year 2010? CO O a < jary February March April May June Month (1) $276 (2) $360 (3) $636 (4) $720 (Go on to Booklet B) ss

9 Rosyth School First Semestral Assessment 2011 Primary 6 Mathematics Name: Register No. Class: Pr 6 - Date: 11 May 2011 Parent's Signature: Total Time for Booklets A and B : 50 min Instructions to Pupils: PAPER 1 (Booklet B) 1. Do not turn over this page until you are fold to do so. 2. Follow all instructions carefully. 3. Answer all questions. 4. You are not allowed to use a calculator Section Maximum Mark Marks Obtained Paper 1 (Booklet B) 20 * This booklet consists of 7 pages (excluding this cover page) This paper is not to be reproduced in part or whole withoutthe permission of the Principal. if

10 Questions 16 to 25 carry 1 mark each. Write your answers in the spaces provided. For questions which require units, give your answers in the units stated. (10 marks) Do not writ* in this spac 16. Evaluate the expression given that a = 3. 8a a 17. Express the ratio 18 : 78 in its simplest form. 18. The following solid has rectangular face(s). *<?

11 19. Find the value of 35% of 50. Do not write in this spac Write down a fraction exactly half-way between g and g. 21. In the figure below, what is the ratio of the shaded area to the unshaded area?

12 22. 6 : 18 = 21 :? Find the missing number in the box. Donotwri in this spa 23. Find the last digit of the sum of 8 to

13 24. The figure below shows a rectangular field 15m by 12m. It has a path 4m wide running through it. Find the shaded area. Do not write in this space 12m 15m m 25. A wheel of diameter 26cm makes 7 revolutions. Find the distance covered by the wheel in terms of tt. cm *>

14 Questions 26 to 30 carry 2 marks each. Show your workings clearly in the space provided for each question and write your answers in the spaces provided. For questions which require units, give your answers in the units stated. (10 marks) Do not writ in this spac 26. The breadth of a rectangle is gm. If its area jis -jjq m2, find its length. m 27. At an Expo Sale, the ratio of the price of a ceiling fan to the price of a wall fan was 15:8. After a discount of $5 on each item, the ratio became 2:1. What was the original price of the ceiling fan? $-?s

15 28. The total mass of 2 sacks P and Q was 220 kg. If P was decreased by 30 kg and Q was increased by 10 kg, both would have equal mass. Find the mass of sack Q at first Do not write in this space kg 29. The ratio of apples to oranges in a basket was 3 : 5. When 16 oranges were added, the ratio of apples to oranges became 1 : 3. How many apples were in the basket? <H

16 30. The diagram below shows semicircles with 2 different diameters. What Do fha wr*te fraction of the figure is shaded? in this space rem End of Paper?5

17 Rosyth School First Semestral Assessment 2011 Primary 6 Mathematics Name: Register No. Class: Pr 6 - Date: 11 May 2011 Parent's Signature: Time: 1 h 40 min PAPER 2 Instructions to Pupils: 1. Do not turn over this page until you are told to do so. 2. Follow all instructions carefully. 3. Answer all questions. 4. Show your workings clearly as marks are awarded for correct working. 5. Write your answers in this booklet. 6. You are allowed to use a calculator Questions Maximum Mark Marks Obtained Q1 to 5 10 Q 6 to Section Maximum Mark Marks Obtained Paper 1 40 Paper 2 60 Total 100 * This booklet consists of 16 pages (excluding this cover page) This paper is not to be reproduced in part orwhole without the permission of the Principal. 97

18 Questions 1 to 5 carry 2 marks each. Show your working clearly in the space provided for each question and write your answers in the spaces provided. For questions which require units, give your answers in the units stated. (10 marks) Do not writ in this spec 1. Aisha and Mollie have a total of$c. Aisha has twice as much money as Mollie. Express the amount of money Aisha has in terms of c. $ 2. What percentage of 3.2 m is 6 m? (Go on to the next page) *?

19 3. Mr Lim takes 6z minutes to saw a piece of wooden plank into 3 equal pieces. How long would he take to saw the same wooden plank into 12 equal pieces? Do not write in this space mins 4. Mdm Tan spends c of her money on 3 dresses and 8 pairs of spectacles. With the rest of her money, she can buy another 6 dresses. If she spends ail her money on spectacles only, how many pairs of spectacles can she buy? (Go on to the next page) Ioo

20 The figure below shows the net of a cuboid. The cuboid has a square base What is the volume ofthe cuboid? Do not write in this space i5 cm 28 cm cm3 (Go on to the next page/ to/

21 Questions 6 to 18, show your working clearly in the space provided for each question and write your answers in the spaces provided. The number of marks available is shown in brackets [ ] at the end ofeach question or part-question. (50 marks) Do not write in this space 6 Letchmi attempted all the 70 questions in an online game and scored 224 marks. Given that 5 marks were awarded for each correct answer but 2 marks were deducted for each wrong answer, how many questions did Letchmi answer correctly? [3m] (Go on to the next page)»pv

22 Raju has solved 260 Math problems to prepare for his mid year examinations. He planned to finish the rest ofthe Math problems in the next 6 days by solving the same number of Math problems each day. If he completed 32% of the Math problems in the next 4 days, how many Math problems would he have solved altogether? Do not writ* inthisspac [3ml (Go on to the next page) - r \ 10*

23 8 Mdm Lim bought some books and stationery. 3 ofall the items bought were 1 fiction books, 5 of them were non-fiction books and the rest were stationery. The prices ofthe books and stationery were shown below: Donotwri in this spa Items Cost ofeacjijtem Fiction books $24.90, Non-fiction books $ Stationery $0.60 Mdm Lim spent $ on all the books. How much did she spend on the stationery? [3m] (Go on to the next page) 10*

24 Judy earned a fixed salary every month. In January, she spent 30% of it. In February, she spent 40% more than what she spent in January. If she spent a total of $1350 for the two months, what was her monthly salary? Do not write in this space [3m] <*Go on to the next page) id5

25 10 The ratio of Muthu to Ivan's marbles was 9 : 5 at first After Muthu bought another 92 marbles and Ivan bought another 12, Muthu had four times the number of Ivan's marbles. How many marbles did Muthu have in the end? Do not write in this space [3m] 8 (Go on to the next page) \ *

26 11 The pie chart below shows the proportion of coloured beads in a box. Studythe pie chart and answer questions (a) and (b) below. Do not write in this space (a) What fraction ofthe total numberof beads are green.and yellow in colour? (b) If there are 72 red beads, what is the ratio ofthe number of blue beads to the number of yellow beads? (a) [1m] (b) (Go onto 13m] the next page) (o7

27 12 Four children Min, Nathan, Tom and Caleb each have some savings. The amount of money Nathan has is x ofthe total amount of money Tonfhand Do not write in this space 1 Caleb have. The amount of money Tom has is t of the total amount of money Nathan^and Caleb have. The amount of money Min has is z of the total amount of money Nathan, Tom and Caleb have. $1 035, how much do the four children have altogether? If Caleb saves [4mJ 10 (Go on to the next page) ios

28 13 35 pupil leaders from a primary school were asked to welcome visitors during the school's opening ceremony. They were stationed in a row from one end of the school's entrance to the other end at an equal spacing of 1.3 m apart. On the day of the opening ceremony, 8 pupils did not turn up. As a result, the remaining pupil leaders were restationed at a new equal spacing. What was the new spacing between 2 pupil leaders? Do notwrite in this space Ans [4m] 11 (Go on to the next page),*7

29 14. The figure is made up ofa square ABCD and two circles. The radius of each circle is 6 cm. Find the area of the shaded region. (Take tt = 3.14) Do not write in this space B D Ans* [4m] 12 (Go on to the next page)» 0

30 15. At a carnival, there were 40% more males than females. There was an equal number of males without caps to the number of females without caps. The number of males with caps to the number of females with caps was 6:2. (a) What was the ratio of the number of females with Gaps to the number of females without caps? 3 (b) Midway, 800 females with oapo left the carnival. In the end, there were - as Do notwrite in this space many females as males remaining behind. How many people were at the carnival at first? (a) (b) [2m] [2m] 13 (Go on to the next page) n

31 16. The diagram is made up of 3 circles. OC, the radius of the smallest circle, is 2cm. OE is the radius ofthe medium-size circle and OF is the radius ofthe biggest circle. Do notwrite in this space (a) What is the ratio ofthe area ofthe smallest circle to the area of biggest circle? (b) Find the area ofthe shaded part. (Leave your answer to the nearest 2 decimal places) (a) (b) [2m] [3m] 14 (Go on to the next page) ili>

32 17. On Saturday, there were 50 more females than males at a concert. On Sunday, the number of females increased by 10% and the number of males decreased by 20%, resulting in 625 people at the concert. Each ticket cost $25. How much money was collected on Saturday? Do not write in this space 15 - [5m] (Go on to the next page) i/i

33 - 18. The rhombuses below are formed by using matchsticks. Each rhombus has an equal number of matchsticks on its sides. Do not write in this space Figure 1 Figure 2 Figure 3 (a) Complete the following table. Pattern ' ' 30 Number of matchsticks i ) (1m) ( v orm) *im) (b) Which pattern number will you get if1004 matchsficks'are used? [2m] End of Paper 16 nt

34 EXAM PAPER 2011 SCHOOL : SUBJECT: ROSYTH PRIMARY PRIMARY6MATHEMATICS TERM SA1 Qi Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 QIO Qll Q12 Q13 Q14 Q ' l )25 17)3:13 21)2:3 22)63 26)% 27)$75 18)3 19) )9/18 23)5 24)48 25)(182n) 28)90kg 29)12 apples 30) Vz Paper 2 l)$(2/3c) 2)6m/3.2m x 100% = 187.5% 6m is 187.5% of3.2 3)3-1 = 2 6z-> 2 times ^ time->3z 11 time->33z He would take (33z)mins. 5)5 x 2 = = r 2 = 9 9 x 5 x 5 = 225 The volume ofthe cuboid is 225cm3 4)2/5-»8s l/5-»4s 5/5->20s She can buy 20 pairs of spectacles. 6)no.co marks no.wr final V/x x x x x X V Letchmi answered 52 questions correctly 7)4 days->32% 1 day-*8% 6 days->48% 100% - 48% = 52% 52%->260 2%->10 100%-->500 He would have solved 500 Math problems us

35 8)Fiction -»l/3 (5/15) Non-Fiction ^1/5 (3/15) Stationery ->1-1/3-1/5 = 1-5/15-3/15 = 7/ x5 = x = = 4 4x7 = x $0.60 = $16.80 She spent$16.80 on the stationery. 10)llu->44 lu->4 9u-> =128 Muthu had 128 marbles in the end. 12)G>45u - 12u - 10U = 23u 23u->1035 lu->45 60u->2700 The Four children have $2700 altogether 14)Area ofquad-> 1A x Tin = 3.4x6x6xV4 = x2 = = x 3 = 61.56am 9)Jan^30% Fefr*140of30% = 7/5x30% = 42% 30% + 42% = 72% 72%~>1350 4%->75 100%->1875 Her monthly salary was $1875 ll)a)green-> V4 = 5/20 Yel!ow^55/100 = 11/20 5/ /20 = 16/20 = 4/5 4/5 ofthe total numberof beads are green and yellow in colour. b)l/25 x 100% = 4% 4%->72 1%->18 55%->990 (B) Blue->100% - 4% - 55% - 25% 100% - 84% = 16% 16%-->288 B : Y 288: 990 = 16:55 The ratio is 16:55 13)35-8 = =34 34x1.3 = = r 26 = 1.7 The new spacing was 1.7m 15)a)l:4 b)5u - 3u = 2u 2u ->800 12u-> people were at the carnival at first. 16)a)l:16 b)150.80am

36 17)100% + 10% = 110% 110% = 11/10 11/10 x 50 = %M - 20%M = 80%M 110%M + 180%M = 190%M = %M-»570 10%M^30 200%M-> = x 25 = $16250 $16250 was collected on Saturday. 18)a)28, 36, 236 b)1004 ^-4 = = r 2 = matchsticks are used in Pattern 126. in

This booklet consists of 6printed pages including this page.

This booklet consists of 6printed pages including this page. METHODIST GIRLS' SCHOOL Founded in 1887 PRIMARY 5 MID-YEAR EXAMINATION 2011 MATHEMATICS PAPER 1 (BOOKLET A) Total Time for Booklets Aand B: 50 minutes INSTRUCTIONS TO CANDinATF.g Do not turn over this