Placement Test for Singapore Primary Mathematics 5B
1. Express each fraction as a decimal correct to 2 decimal places.
  (a) (b)

2. Multiply or divide.
  (a) 515.02 x 43
 
 

(b) 81 x 1.29
  (c) 2.8 ÷ 400
 
 

(d) 1421 ÷ 7000

3.

Find the equivalent measures.

  (a) 0.4 m = ________ cm
 

(b) 1.25 kg = ______ kg ______ g
  (c) 305 ml = ________ L
 

(d) 13 km 4 m = _________ km
  *(e)

0.75 ft = ________ in.

 

*(f) 0.25 qt = ________ c
  *(g) 6.25 lb = _____ lb _____ oz *(h) 3.25 gal = ______ gal _____ c

4. Express each as a percentage.
  (a) 0.47 (b) 0.03
  (c) (d)
  (e) 215 out of 500 (f) 33 out of 300

5. Express each percentage as a decimal and as a fraction in its simplest form.
  (a) 25%

(b) 85%
  (c) 16%

(d) 4%

6. Find the value of each of the following.
  (a)

75% of 240 m

(b) 32% of $96

7.

Find the average of 21.4, 18.2, and 65.7.

 

8. Fill in the blank:  The average of 42, 36, ______ , and 25 is 30.

9. John has $75.  He spent $15 on a book.  What percentage of his money does he have left?
 
 
 
 

10. A man rents a room for $400 a month.  If the rent is increased by 12%, what is the new rent?
 
 
 
 

11. The normal price of a camera was $76.  At a sale it was sold at a discount of 15%.  What was the selling price of the camera?
 
 
 
 

12. The average weight of 3 packages is 2 kg 750 g.  The average weight of 2 of them is 3 kg 200 g.  Find the weight of the third package.  Give your answer in kg and g.
 
 
 
 

13. In a city, the rate for taxi fare for the first kilometer is $2.60 and for every additional kilometer it is $0.80.  Find the taxi fare for a journey of 6.5 km.
 
 
 
 

14. The following figures are not drawn to scale.
Find the unknown marked angle.
  (a) ABC is a straight line.  BCD is an equilateral triangle.
(b) ABCD is a parallelogram.
  (c) ABC is a straight line.  BCDE is a rhombus
(d) AB is parallel to DC

15. Use the given shape to make a tessellation in the space provided.

16. A rectangular tank measures 50 cm by 20 cm by 33 cm.  It is to be filled with water from a tap.  It takes 2 minutes to fill it to a height of 12 cm.
  (a) What is the rate of flow from the tap in liters per minute?
  (a) How many more minutes will it take to fill the tank?
 
 

17. A rectangular container 8 cm long and 9 cm wide was filled with water to a depth of 6 cm.  When 12 marbles of equal size were added to the container, the depth of the water became 7.5 cm.  Find the volume of one marble.
 
 
 
 

18. How many 4 cm cubes can fit into a rectangular box 1 m long, 0.4 m wide, and 0.6 m high?
 
 
 

19. Sam and John had $85 and $220 respectively.  They were each given an equal amount of money.  Then John had two times as much money as Sam.  How much money did each boy receive?
 
 
 
 

*20. The length of one side of a cube is 1 ft. What is its volume in cubic inches?
 
 
 
 

* Note: Starred problems pertain only to Primary Mathematics US edition.

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