Grade 7 CBSE Fractions and decimals test 1

Fill in the blanks
Case study 1
A man made a will for his wife and 5 children. He gave 1/3 of his asset to his wife. Out of the remaining he gave 2/3 to his oldest child. The remaining he split equally among his 4 children.
1. What fraction of the total amount did the oldest kid get? (1)
2. What fraction of the total amount did the youngest kid get? (2)

Solve the following
3. What is
{1- (2/3) } { 1-(1/4) } { 1-(1/5) } { 1-(1/6) } { 1- (1/7) } =  (3)

4. Which is greater 1/4 of 2/5 or 2/4 of 2/3. Type the result in simplified form (4)

5. A rectangle is divided into N equal parts. If 18 of the parts formed represent the fraction 3/4. Find the number of parts the rectangle was originally divided into. (5)

Case Study 2
A car travels 2/5 kms in 1 hr.
6. How much distance does it travel in 2/4 of an hour? (6)
7. How far will the car travel in 5/3 of an hour? (7)
8. If the car travels 14/5kms in 7hr. What is the speed per hour? (8)

Case Study 3
I have a wooden plank of length 17.4 cms.. I am planning to cut the plank into smaller parts.
9. If I am cutting that plank into 6 equal parts, what will be the length of each part? (9)
10. Use data in question 9. If length of each small part is increased by 1.5 times, then How many small parts will I get? (10)

11.Which is the smallest:
2.65 x 0.01 or 26.5 x 0.001 or 265 x 0.0001 or 0.265 x 0.01 . Write the correct product (11)