Worksheet on Number System and Integers for Class 6

Solved Questions on Number System and Integers

1. Which alphabet gives the integer −5 if H is +10?

a) D
b) F
c) M
d) O

Answer: b) F

Explanation:

Alphabet F gives the integer −5 which is shown as

2. The temperature in the room was 6.45°C this midnight. After five hours, it was 8.19°C and then the temperature was −5.37°C after four hours. What was the temperature difference after five and nine hours?

a) 2.82°C
b) 3.56°C
c) 13.56°C
d) 13.65°C

Answer: c) 13.56°C

Explanation: Temperature after five hours =  8.19°C
Temperature after nine hours = −5.37°C
Temperature difference after five and nine hours = 8.19°C – (−5.37°C)
                                                                       = 8.19°C + 5.37°C
                                                                        = 13.56°C

3. Which integer is 13 less than the integer marked on the number line?

a) 8
b) 18
c) − 8
d) − 18

Answer: c) − 8

Explanation: Integer marked on the number line = 5
Integer which is 13 less than the integer marked on the number line = 5 − 13
                                                                                                            = − 8

4. An eggplant farm grows 900 eggplants and another eggplant farm grows 1050 eggplants in a day. How many eggplants were harvested in a week?

a) 10650
b) 11650
c) 12650
d) 13650

Answer: d) 13650

Explanation: Number of eggplants grown by one eggplant farm in a day = 900 eggplants
Number of eggplants grown by another eggplant farm in a day = 1050 eggplants  
Total eggplants were harvested in a day = (900 + 1050) eggplants  
Total eggplants were harvested in a week = 7 × (900 + 1050) 
                                                                   = 7 × 900 + 7 × 1050 [Using distributive property]
                                                                   = 6300 + 7350
                                                                   = 13650 eggplants

5. Which of the following number lines represent 7 less than −8?

a)
b)
c)
d)

Answer: b)

Explanation: 7 less than −8 = −8 − 7 = −15

This number line shows −15.