Integers quiz

Which of the following is the greatest?

The additive inverse of -12 is:

-9 + 4 equals:

6 - (-2) equals:

The successor of -1 is:

Which integer is neither positive nor negative?

On a number line, -5 lies:

A temperature of 12 degrees C below zero is written as:

-7 + (-8) equals:

The number of integers between -3 and 3 is:

Write the opposite of: (i) increase in weight (ii) 30 km north. (2 marks)

Represent with integers: (i) a deposit of Rs 500 (ii) a fall of 8 degrees in temperature. (2 marks)

Write all the integers between -5 and 1. (2 marks)

Put the correct sign, greater than or less than: (i) -4 and -9 (ii) 0 and -1. (2 marks)

Find the sum of -25 and 40 and the sum of -16 and -24. (2 marks)

Subtract -15 from 10 and subtract 8 from -3. (2 marks)

Write two integers whose sum is -7. (2 marks)

Write two integers whose difference is 5 and both of which are negative. (2 marks)

Explain why -1 is greater than -100 using the number line. (2 marks)

Find the value of -50 + 20 - (-30). (2 marks)

Find the value of: (i) -12 + 8 + (-15) + 20 (ii) 30 + (-25) + (-10) + 5 (iii) -7 - (-7) + 9. (3 marks)

A diver is at 18 m below sea level. A bird is flying 24 m above sea level. Write their positions as integers and find the vertical distance between them. (3 marks)

The temperature in a town at 6 a.m. was -4 degrees C. It rose by 9 degrees C by noon and then fell by 7 degrees C by midnight. What was the temperature at noon and at midnight? (3 marks)

A lift is at the ground floor (0). It goes 5 floors up, then 7 floors down to the basement, then 3 floors up. On which floor is it now? Represent the movements as integers and add them. (3 marks)

Mohan deposits Rs 2000 in his account and withdraws Rs 1642 from it the next day. If withdrawal is shown by a negative number, write the transactions as integers and find the balance. Then he withdraws Rs 500 more; find the new balance. (3 marks)

Read the passage and answer the questions. The lowest temperatures recorded one January night were: Leh -12 degrees C, Manali -4 degrees C, Shimla 2 degrees C, Nainital -1 degree C and Darjeeling 3 degrees C. (i) Arrange these temperatures in ascending order. (ii) Which place was the coldest and which was the warmest? (iii) How many degrees warmer was Darjeeling than Leh? (5 marks)

Read the passage and answer the questions. In a game, a player moves forward for positive numbers and backward for negative numbers on a track numbered -10 to 10. Priya starts at 0. In her first three turns she gets +4, -6 and +3. (i) Where is Priya after the first two turns? (ii) Where is she after three turns? (iii) What number does she need on her next turn to reach 5? (5 marks)

Read the passage and answer the questions. A mountain peak is 2500 m above sea level and a nearby trench in the sea is 700 m below sea level. A research team flies a drone from the bottom of the trench to the top of the peak. (i) Write the heights of the peak and the trench as integers. (ii) Find the total vertical distance travelled by the drone. (iii) If the drone stops halfway, at what height is it? (5 marks)

Read the passage and answer the questions. A cricket team uses a run-rate chart where runs above target are positive and runs below target are negative. In five overs, the team was 3, -2, -5, 4 and 1 runs relative to the target. (i) Find the total relative to the target after five overs. (ii) Was the team ahead or behind the target? (iii) In which over was the team furthest behind? (5 marks)

Read the passage and answer the questions. Ravi had Rs 0 in his piggy bank account book. He borrowed Rs 50 from his sister, then received Rs 120 as a gift, then spent Rs 40 on a book. Borrowing is written as a negative entry. (i) Write the three entries as integers. (ii) How much money does he have after repaying his sister? (iii) Write the additive inverse of the amount borrowed and explain what it means here. (5 marks)

Draw a number line from -8 to 8. Using it, find: (i) 5 + (-7) (ii) -3 + 6 (iii) -2 + (-4) (iv) 4 - 6. Show each jump. State the rule for moving on the number line when adding positive and negative integers. (6 marks)

Using positive and negative counters, show: (i) (+6) + (-2) (ii) (-5) + (-3) (iii) (-3) - (-1) (iv) (+2) - (-3). Draw the counters in each case, and explain how zero pairs are used in subtraction. (6 marks)

Draw a thermometer scale from -20 degrees C to 40 degrees C in steps of 5. Mark the temperatures of Shimla (-2), Delhi (25), Leh (-15) and Chennai (35). Arrange them in descending order and find the difference between the hottest and coldest. (6 marks)

Explain the following with examples: (i) the sum of two positive integers (ii) the sum of two negative integers (iii) the sum of a positive and a negative integer (iv) subtraction as addition of the additive inverse. Show one example of each on a number line. (6 marks)

Draw a vertical diagram showing a building with 6 floors above ground and 3 basement floors, marking ground level as 0. A person starts at floor 4, goes down 6 floors, then up 2 floors, then down 1 floor. Show each movement on the diagram, write the movements as integers, and find the final floor. (6 marks)