PSMO 2010 CONTEST PAPER_SECOND ROUND

SECOND ROUND PSMO 2010

Organized by: The Science, Technology and Environment Partnership (STEP) Centre, Ministry of Education Supported by: Brunei Shell Petroleum Company Sdn. Bhd.

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5th PRIMARY SCHOOL MATHEMATICS OLYMPIAD (PSMO) 2010

NEGARA BRUNEI DARUSSALAM

SECOND ROUND

ORGANIZED BY: SCIENCE, TECHNOLOGY AND ENVIRONMENT PARTNERSHIP (STEP) CENTRE,

MINISTRY OF EDUCATION. C7, C8 & C9, SIMPANG 125, JALAN MUARA, BB2313,

NEGARA BRUNEI DARUSSALAM. TEL / FAX : 2335963



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SECTION A SHORT ANSWER PROBLEMS

1. Cikgu Faridah has $16.85. She wants to buy the maximum of pens that she can.

Each pen costs $0.45. How many pens can she buy?

Answer:

2. The tank below has a base of 5 cm and a width of 2 cm. The water-level was 4 cm at first. After some water was poured into the tank, the height increased to 7 cm. Find the volume of the water poured into the tank.

Answer:

7 cm 7 cm

4 cm

4 cm

7 cm

4 cm



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3. The product of a 2-digit number and a 1-digit number is a 3-digit number. Using

only the digits 6, 8 and 9, identify the numbers represented by A, B and C.

Answer:

4. The rectangle below is not drawn to scale. The breadth of the rectangle is 14 cm.

Its perimeter is 78 cm. Find the area of the shaded triangle.

Answer:

14 cm

A B = X 7 C B C

A = ____

B = ____

C = ____



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5. The graph below shows how Syazwan spends his monthly pocket money. How much money does he spend every month?

Answer:

6. The cost of 1 unit of electricity during a 4 year period is given below. Year 1, $1 per unit. Year 2, $1.2 per unit. Year 3, $1.5 per unit. Year 4, $2 per unit. If a factory spent equal dollars each year for electricity what was the average cost of a unit of electricity during the 4 year period?

Answer:



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7. Trees are planted 5 m apart along a straight road. If the road is 50 m long, find

the total number of trees along this stretch of road.

Answer:

8. In the figure shown below, ABC, DBE and AEF are straight lines. Find ∠ BAE.

Answer:

5 m 5 m 5 m

98o



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9. When a number is added to 5

1 of itself, the result is 366. Find the number.

Answer:

10. The line graph below shows the number of tickets sold for a movie in a week.

If each ticket cost $9, what would be the total amount collected for this particular

movie on Saturday and Sunday?

Answer:



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11. The figure shows three types of parcels on a balance scale. The total weight of

all the parcels is 22 kg. If the weight of parcel C is 8 kg, what is the weight of parcel B?

Answer:

12. A man left 9

2of his money to his wife,

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1 of the remainder to his parents and the

rest to his 4 children. If each of his children received $2800, how much did his parents receive?

Answer:



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13. The Karim’s house has a newly constructed playground behind his backyard with

the shape as shown in the figure below. They want to cover the playground with carpet grass. How much to the nearest dollars are they going to have to spend on carpet grass if it costs $5.00 per meter square?

Answer:

14. A cubic metre of water weighs 1000kg. What is the weight of a waterbed mattress that is 2 metres by 3 metres by 20cm if the casing of the mattress weighs 1kg?

Answer:

9 m

4 m

6 m



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15. There were only 28 students in a class. 18 of them have desktop computer and 9

of them have laptop computer. Some students have both. 5 students have neither. How many students have both the desktop and laptop computers?

Answer:

16. The figure below is drawn on a rectangular grid. M is the centre of AB. Find the total area of the shaded parts of the figure.

Answer:

2 cm

Desktop

Computer

Laptop

Computer



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17. What is the surface area of the solid figure below?

Answer:

=============== END OF SECTION A ===============

3cm

1cm

1cm

1cm

3cm

2cm



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SECTION B ESSAY PROBLEMS

1. A water tank has been purchased for the farm. It will be used for drinking water

for the cattle. It is a cuboid shaped metal container that is 70 cm tall. The area of the bottom of the tank is 1.6m2. If the cattle drink four hundred and forty-eight cubic meter of water a day, how many times per day will the tank have to be filled?

Answer:

2. In the country Roadonia, there are exactly 20 cities and 31 roads connecting

neighbouring cities as shown in the diagram. Unfortunately, all the roads are in bad condition and need repair. 'What is the maximum number of roads which can be closed for repair at the same time so that it is still possible to travel from each city to any other along roads?

Answer:



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3. In a school, there are 50 Year 6 pupils. 10 did not participate in the Mathematics

Olympiad, 15 did not participate in the Science Olympiad and 2 did not participate in both Olympiads. How many Year 6 pupils participated in both Mathematics and Science Olympiad?

Answer:

4. Given the symmetric shape below with a known perimeter of 90 cm. The height of the shape is 28 cm. Find the area of the shape.

Answer:

x+ 10cm

x

x+ 9cm

x+ 3cm



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5. A shopkeeper had some red and blue pens. The number of red pens was 25% of

the total number of pens. After selling away 30 red pens and 30 blue pens, the number of red pens become 25% of the number of blue pens left. How many pens did he have at first?

Answer:

6. In a 100m race, Sam beats John by 4 seconds. On the contrary, if Sam allowed John to start 16m ahead of Sam, then Sam and John reach the finishing point at the same time. How long does Sam take to run the 100m race?

Answer:



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7. The height of 8 funnels when stacked neatly as shown in the diagram is 21.4cm. When 3 of them are taken out of the stack, the height is 19cm. Find the height of 1 funnel.

Answer:

=============== END OF SECTION B ===============



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ANSWERS FOR SECTION A AND B

SECTION A –SHORT ANSWER PROBLEMS 1. 37 pens 2. 84 cm3

3. A = 9

B = 8 C = 6

4. 175 cm2 5. $310 6. $1.425 7. 11 trees 8. 36o

9. 305 10. $13 500

11. 5 kg 12. $5 600 13. $181 14. 1201 kg 15. 4 students 16. 4 cm2

17. 50 cm2



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SECTION B –ESSAY PROBLEMS 1. 4 times 2. 2:1 3. 23 pupils 4. 304 cm2

5. 360 pens 6. 21 seconds 7. 15.8 cm

PSMO 2010 CONTEST PAPER_SECOND ROUND

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