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\ 07-Nov-2024 Surender Prajapati Proof-6 Reader’s Sign _______________________ Date __________

B. Fill in the blanks.

1. (–303) ÷ ................... = –1.
2. 984.8 × 1000 = ................ .

3. If a = (–249 ÷ 5) × (–5 ÷ 249), then additive inverse of a is ................ .
−5
4. Additive inverse of is ................... .
8
5. [17 + (–8)] + 24 = 17 + [.................... + 24].

C. Write ‘T’ for true and ‘F’ for false statement. p
1. Every rational number can be expressed in the form of , where both p and q can be zero.
q
2. (–1) × (–1) × (– 1) × ....................... 502 times is equal to –1.
1 3
3. The fraction is greater than .
4 11
4. The reciprocal of an improper faction is a proper fraction.
6 10 3
5. The rational numbers and are equivalent to the rational number .
21 35 5
D. Solve the following questions.

1. Verify the following:
(a) (– 1) × [8 + (–9)] = (–1) × 8 + (–1) × (–9)
(b) (–29) × [(–152)] + 205] = (–29) × (–152) + (–29) × (205)

2. At a fun fair show, the price of each ticket is `675.50. The total amount collected by the
person at the ticket counter is `12834.50. How many tickets did he sell?
3. In a maths test, (+3) marks are awarded for every correct answer and (–1) mark is awarded
for every wrong answer.
(a) Karan answered all questions and scored 55 marks, giving 20 correct answers.
(b) Kavya also answered all the questions and scored (–5) marks, giving 5 correct answers.

How many questions attempted by Karan and Kavya were incorrect in total?
4. A fruit seller has 750 kg of apples in a cold store. 2 of them have been rotten. How many
15
apples are rotten? Also, find the quantity of apples in the cold store that are in good condition.
54 
28

5. Simplify:    17 ×    − 24      − 9  ×  − 7  
 − 

 




8
119  
6. Evaluate the following using a suitable property.
(a) 2419 × 112 + 2419 × (–12) (b) 125 × 96
7  −  1  3 2  −  1  1   −  2  −  1 2 
−  
7. If x =  +  2  +  4  , y =   5 +   9  +  and z =    +  4  + 7   , then arrange x, y and z









 3

 5
8

in ascending order.
8. Shreya is a microbiology student. She has done research on optimum temperature for
the survival of different strains of bacteria. Studies showed that bacteria Z need optimum
temperature of –32°C, while bacteria M need optimum temperature of –51°C. What is the
temperature difference?
77 Unit Test – 1