7th math test term 1

 1  Find the product using suitable property.

a) 26 x(48) + (48)x (-36)

b) (-41) x 102

2   A stationery shopkeeper sells 25 pencils and gains 1 on each pencil. By selling 12 notebooks, he loses 0.75 per notebook. What is his gain or loss?

3 a Write the difference between the smallest positive integer and the greatest negative integer.

b) Add additive inverse of 5 and additive inverse of (-3) 

4  Verify that a + (b + c) = (a + b) + (a+c) for a = (-10), b = 1, c = 1.

5  Ravi earns 4500 per day and in 6 days? spends 700 per day. How much money he will save

6. Verify: a- (-b) = a + b for a = 113, b=207

7 Cost of 2 dozen bananas is is 24. What is the cost of 12 banana?

8  Vinit has 36 rupees. He wants to purchase potatoes. The cost of potatoes is 20 per kg. How much potatoes Vinit can buy?

9 Rupa has 506 rupee. She wants to distribute it equally among 45 people. How much money each person will get

10. Identify the rational numbers.

a  -23 /34

b  3/5

c  5/0

11 Express the following in standard form (lowest form).

a) -11 /121

b) -15 /-625

12. Represent the following on the number line.

3/ 4      , 7/9

13. Write four equivalent rational numbers for the following.

a   7/8

b)-1/7

14  . Find the absolute value of the following.

a)-84

b) 52

15. Arrange the following in ascending order.

-8/7, 1/3, 7/7

16. The cost 4 litre of milk is 160. What will be the cost for 10*1 /2 litre of milk?

17   Divide the following.

 a   11 /21

b) 13/39

18. shopkeeper finds 522 kg of grapes rotten in a box containing 325kg of grapes. What is 7/ 4 the weight of fresh grapes?

19 A cake weighing 18 kg has been divided equally into 16 boys. How much each boy will get?

20  Find

a) 7.5+0.05

b) 8.01+0.9.

c 45.7+1000

d 84.84 +12

4. Fill in the blanks.

a) 85 mm is             km

c) 85 km is..............m

d) 4250 g is.........kg

e 70 kl. is...........L

F) 900 ml. is .... L

5. Daily consumption of a student is 100 g of rice, 50 g of dal, 25 g of vegetables and 30 g of fruits. A hostel accommodates 125 students. How much rice, dal, vegetables and fruits are needed in one month to feed the students? (1 month = 30 days) Give the answer in term of kg) 

7. A box contains 35.7 kg of mangoes. There are 70 such boxes. What is the total weight of mangoes?

8. A milk container has 7 kl. of milk. The milk is distributed in equal amount among 14000 people. How much each person will get? Give the answer in mL..

9.How much less is 28 km than 42.6 km?

4. Express

a) 4 kg 8 g into kg

b) 230 paise in rupees

5. Evaluate 10.05 x 1.05

6. Evaluate

a) 145.1+1000

b) 0.25 +100

Write in ascending order: 50 cm, 0.05 m, 55 mm

A. Shyama bought 5 kg 300 g apples and 3 kg 250 g mangoes. Sarla bought 4 kg 800 g/ oranges and 4 kg 150 g bananas. Who bought more fruits?

6. The product of two numbers is 12.2408. If one of the number is 0.52, find the other number.

10. A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will in cover in one litre of petrol?

11. Find: 131.12 x 11. 1

12. How many medicine bottles each containing 98 ml of medicine can be filled from a container of medicine containing 5.88 litres of that medicine

1. Express 27 x 27 x 27 in the exponential form with base 3.

2. Evaluate: (10)º x 10

3. Insert the symbol >, < or in the following cases

a) 7²      2²

4. Express 51450 as product of exponents using prime factorisation.

5. Express 128 2187 in exponential form.

7. Simplify: (3)-(6)x 32

9. Find the value of n.

n³= 27

10. Simplify:

b) (4²-3²)x(3) 

12. Simplify and write the answer in exponential form.

a) 4 x 4² x 4⁴

13. Simplify: 35 x 105 x 25 57x6

14. Simplify and express in exponential form.

a) [(63)2x64]+65

b) [(32)3x46] x 56