Multiplication of Integers

Q.

In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer and 0 for questions that are not attempted. Ram gets 3 correct and 4 incorrect out of 7 questions he attempted. What is his final score?

1. -2

2. 7

3. -2

4. -7

Q.

In a class test containing 10 questions, 3 marks are awarded for every correct answer, (-1) mark is awarded for every incorrect answer and 0 for the questions which are not attempted. Srinu gets two correct and six incorrect answers out of eight questions he attempts. What is his total score?

1. 0
2. 2
3. -2
4. 6

Q.

Question 1(d)

Answer the following:

Meena, Beena and Leena are climbing the steps to the hill top. Meena is at step s, Beena is 8 steps ahead and Leena 7 steps behind. Where are Beena and Meena? The total number of steps to the hill top is 10 less than 4 times what Meena has reached. Express the total number of steps using s.

Q.

If we multiply six negative integers and six positive integers, then the resulting integer is _______. Fill in the blanks to make the statement true.

Q.

Find the following product: $(-1)\times (-2)\times (-3)\times 4$

Q. Name the property illustrated:

A x (B + C) = (A x B) + (A x C)

1. Distributive property
2. Closure property
3. Associative property
4. Commutative property

Q. In a class test, containing 14 questions, 5 marks are given for every correct answer and (–3) marks are given for every incorrect answer. ​​​If Alex attempts all questions but only 9 of his answers are correct. What is his total score?

1. 45
2. 35
3. 15
4. 30

Q. How many times the digit $"1"$ appear in numbers from $1to100?$

1. $21$
2. $18$
3. $20$
4. $19$

Q.

The product of $21$ negative integers is

1. positive

2. negative

3. $0$

4. none of these

Q. Product of two integers with same signs is always a positive integer.

1. False
2. True

Q. The sum of two integers will always be a whole number.

1. True
2. False

Q.

$\text{Solve}(-24\times 102)\text{using distributive law.}$

1. -2508
2. -2458
3. -2238
4. -2448

Q.

In a bucket there was $5.75$ litres of water . Nandu added $10.25$litres of water to it and Shrikant drew out $12.80$ litres from it . How many litres of water is left in the bucket .

Q. There are 18 boxes on a shelf.

(a) How many boxes in total can be kept on the shelf without leaving any space?

(b) If the length and height of the shelf are doubled, how many boxes can be kept on the shelf now without leaving any space?

(c) If the length is halved and height of the shelf is doubled, how many boxes can be kept on the shelf now without leaving any space?

(d) If the length is doubled and height of the shelf is halved, how many boxes can be kept on the shelf now without leaving any space?

[4 MARKS]

Q. Find the value: $4\times (-2)\times 4$

1. 16
2. -32
3. 32
4. -8

Q. When a positive integer is added to a negative integer. What is the answer?

Q. Distance from $-6$ to $0$ and from $6$ to $0$ is

1. 6 units
2. 4 units
3. $-6$ units
4. $-4$ units

Q. Which of the following illustrates the multiplicative identity?

1. 
   45 + 0 = 45
2. 
   15 x 2 = 30
3. 
   16 x 1 = 16
4. 
   5 x 0 = 0

Q. Sana and Fatima participated in an apple race. The race was conducted in 6 parts. In the first part, Sana won by 10 seconds. In the second part she lost by 1 minute, then won by 20 seconds in the third part and lost by 25 seconds in the fourth part, she lost by37 seconds in the fifth part and won by 12 seconds in the last part. Who won the race finally?

Q. A certain freezing process requires that room temperature should be lowered from 40${}^{\circ }$C at the rate of 5${}^{\circ }$C every hour. What is the room temperature after 10 hours?

1. 0${}^{\circ }$C
2. -5${}^{\circ }$C
3. -10${}^{\circ }$C
4. -15${}^{\circ }$C

Q.

Find the product $(-11)\times (-11)$.

Q. A number $34A$ is exactly divisible by $2$ and leaves a remainder $1$, when divided by $5$, find $A$

Q. Subtract : −842 from 0

Q.

Ajit scored 500 runs in a tennis match. He wishes to score 1000 runs.

How many more runs does he need to score? [2 MARKS]

Q. What is the value of the following expression?
$20\times 19+5\times 7$

1. $355$
2. $345$
3. $415$
4. $235$

Q. $(-4)\times (-2)\times 4=?$

1. -32
2. 16
3. -16
4. 32

Q.

Arjun is in his higher secondary and studies hard to score good marks in his exam. He decides to increase his study hour duration by 2 hours.
Currently, he studies from 4:00 pm - 8:00 pm (after an increase of two hours)
Predict his earlier study plan considering the initial time remains the same.

1. 4:00 pm to 8:00 pm

2. 4:00 pm to 10:00 pm

3. 4:00 pm to 6:00 pm

4. 4:00 pm to 8:00 pm

Q.

What is the value of this expression
$7\times 13$

1. 19 × 10 + 11

2. 19 × 7 + 19 × 3 + 19 × 9 + 19 × 2

3. 19 × (7 + 3 + 9 + 2)

4. 19 × 10 + 19 × 11

Q. Identify the property depicted below.
425 × 130 = 425 × (100 + 30) = 425 x 100 + 425 x 30

1. Commutativity under multiplication
2. Commutativity under addition
3. Distributivity of multiplication over addition
4. None of the above

Q.

Find the sum of the following by making suitable groupings.

$75,1079,121$