Math Test

Total Time: 60 minutes

1. Simplify the following rational numbers:

(i) (25/8 × 2/5) – (3/5 × -10/9)

(ii) (1/2 × ¼) + (1/2 × 6)

(iii) (-5 × 2/15) – (-6 × 2/9)

(iv) (-9/4 × 5/3) + (13/2 × 5/6)

2. Simplify the rational expressions:

(i) (3/2 × 1/6) + (5/3 × 7/2) – (13/8 × 4/3)

(ii) (1/4 × 2/7) – (5/14 × -2/3) + (3/7 × 9/2)

(iii) (13/9 × -15/2) + (7/3 × 8/5) + (3/5 × ½)

(iv) (3/11 × 5/6) – (9/12 × 4/3) + (5/13 × 6/15)

3. Find the value and express as a rational number in standard form:

(i) 2/5 ÷ 26/15

(ii) 10/3 ÷ (-35/12)

(iii) -6 ÷ (-8/17)

(iv) 40/98 ÷ (-20)

4. The cost of 7 2/3 meters of rope is $12 3/4. Find its cost per meter.

5. If 24 trousers of equal size can be prepared in 54 meters of cloth, what length of the cloth is required for each trouser?

6. From a rope 11 m long, two pieces of lengths 13/5 m and 33/10 m are cut off. What is the length of the remaining rope? 

7. Find the area of a rectangular park which is 183/5 m long and 50/3 m broad. 

8. Find the area of a square plot of land whose each side measures 17/2 meters. 

9. Rita had $300. She spent 1/3 of her money on notebooks and 1/4 of the remainder on stationery items. How much money is left with her? 

10. The area of a room is 261/4 m2. If its breadth is 87/16 meters, what is its length?