Integers Test -...

The following number line shows the balances in bank accounts of different customers:



Find the difference between the balances of Anil and Aman.

The following number line shows the balances in bank accounts of different customers:



The total balance in the accounts of Anil and Aman is _______ the total balance in the accounts of Amar and Sunil.

Evaluate .

Directions: Read the statements given below and choose the correct values of A, B, C and D from the options given in the table below.

(i) The sum of two numbers is 8. If one of them is -2, then the other integer is A .
(ii) The difference between a positive integer and a negative integer is -3. If one of them is -2, then the other integer is B .
(iii) For any integer b, [(-2) × b] is equal to C .
(iv) The greatest negative integer is D .

Write whether the following statements are True (T) or False (F).

(A) Multiplying certain integers will give the same result every time regardless of the order of their multiplication.

(B) The numbers to the left of zero on a number line have a larger value than those to its right.

(C) Addition is not associative for integers.

(D) When we multiply two negative integers, we just multiply them as whole numbers and put the positive sign before the product.

Which of the following number sentences best describes the problem shown on the number line below?

Find the value of (8) × (-4) × (2) × 0 × (5) × (-6) + 0 × (4) × (-5) × (1) × (3) × (6).

Which of the following statements is/are correct?

Statement 1: When multiplying a positive integer by a negative integer, we multiply them as whole numbers and put a negative sign (-) before the product. We thus get a negative integer as the product.

Statement 2: Multiplication of whole numbers is the same as repeated addition.

In a magic square, each row, column and diagonal gives the same sum. One such square is given below:

The value of is

Which of the following is not true?

(a) A prime number is a natural number that can only be divided by one and itself.
(b) A prime number has exactly two factors.
(c) 7 is a prime number.
(d) 1 is a prime number.

The value of x in -15 × (-12 + (-6) + 23) = -15 × (-4 × 3 + (-x) + 19 - (-4)) is

What will be the sign of the product obtained when we multiply 102 positive integers, 3 negative integers and 50 positive integers?

Find the value of 221 - [{56 + (25 - (3 + (-7) + 2 × 52 + 111))}].

Which of the following groups of integers has a sum equal to -72?

Which of the following options shows numbers in descending order?

Which of the following number lines represents -3 + 5?

Find the value of the given expression:

(-25) - 45 + 50 - (-65) - 20 - (-120) - 40

The absolute value of 58 - 25 + 80 - 95 is

If x is a positive integer and y is a negative integer, then which of the following is correct?

In an Olympiad test, 2 marks are awarded for every correct answer and mark is deducted for every incorrect answer. A student X answers all the questions and scores 50 marks, answering 30 correctly. Anotherstudent Y also answers all the questions and scores 7 marks, answering 15 correctly.

How many questions does each of them answer incorrectly?

In his diary, a shopkeeper writes the selling prices of goods as positive numbers and the cost prices of the same goods as negative numbers. These were the entries in diary:

20, -15, 35, -20, 50, -10, 20, -30

Calculate the total profit made by the shopkeeper.

A man travelled 80 km northwards from A to B. From B, he travelled 70 km towards south along the same path. If the distance travelled along the north is represented in positive numbers, then how will the distance travelled along the south be represented? By which integer will you represent his final position from A?

An elevator in a mall ascends at the rate of 5 m/min. If the ascent starts 15 m below the ground level, then how long will it take to reach 220 m above the ground level?

Meteorologists forecast that the temperature will drop 6°C every hour. If at 12:00 noon, the temperature is 40°C, then what will be the temperature at 8:00 pm?

In a Chemistry test, there are 20 questions. For every correct answer, 3 marks are awarded and for every incorrect answer, 1 mark is deducted. If Geetika attempts 19 questions, out of which 13 are correctly answered, then how many marks does she get?

The number line given below, ranging from -10 to 10, indicates the level of water in a river. Using the given information for three months, state the values of A, B and C respectively.



(i) The difference between the highest and the lowest levels is ___A___.

(ii) The water level rose ___B___ units from June to July.

(iii) The water level rose ___C___ units from May to June.

Match the following:

Find the incorrect statement from the following.

Fill in the boxes using symbols <, > or =.

(i) 5 × (-6) - (-9) (-9) × (8) + (-8)

(ii) 15 - (-10) - (-6) (-15) + (6) + (-6)

(iii) 4 + (5) × (9) (-9) + (-8) × (-8)