Whole Numbers quiz

The smallest whole number is:

The predecessor of 1,00,000 is:

The additive identity for whole numbers is:

a x b = b x a is called the:

Which of the following is not defined?

25 x 99 + 25 x 1 equals:

Whole numbers are not closed under:

The successor of 999 is:

Which number can be arranged as a square of dots?

The number of whole numbers between 32 and 53 is:

Write the next three whole numbers after 10,999. (2 marks)

Write the predecessor of 1 and the successor of 1. (2 marks)

Is there a largest whole number? Explain. (2 marks)

Find 1735 x 104 mentally using the distributive property. (2 marks)

Give an example to show that division is not commutative for whole numbers. (2 marks)

Find the value of 647 x 3 + 647 x 7 using a property. (2 marks)

Which numbers can be arranged both as a rectangle and as a triangle of dots? Give two examples less than 20. (2 marks)

Find the product of the greatest 3-digit number and the smallest 2-digit number. (2 marks)

If the product of two whole numbers is zero, what can you say about them? (2 marks)

Show on a number line that 2 + 4 = 4 + 2. (2 marks)

Find the sum by suitable rearrangement: (i) 125 + 678 + 875 (ii) 375 + 469 + 625 + 531 (iii) 4 x 1234 x 25. (3 marks)

Simplify using properties: (i) 297 x 17 + 297 x 3 (ii) 81265 x 169 - 81265 x 69 (iii) 3845 x 5 x 782 + 769 x 25 x 218. (3 marks)

Find the product: (i) 9999 x 7 using 9999 = 10000 - 1 (ii) 999 x 26 (iii) 576 x 1001. (3 marks)

A school buys 25 tables at Rs 320 each and 25 chairs at Rs 180 each. Find the total cost using the distributive property. (3 marks)

A train travels 72 km in an hour. How far does it travel in 98 hours? Use 98 = 100 - 2 to calculate mentally. (3 marks)

Read the passage and answer the questions. A shopkeeper sold 125 notebooks on Monday and 75 notebooks on Tuesday. Each notebook costs Rs 36. (i) Write an expression for the total money received using the distributive property. (ii) Find the total money received. (iii) Name the property that lets him write 125 + 75 = 75 + 125. (5 marks)

Read the passage and answer the questions. A school bus picks up students from three stops. At the first stop 17 students board, at the second 23 and at the third 33. The driver adds 17 + 23 first and then adds 33. (i) Which property allows him to add in any grouping? (ii) Find the total number of students. (iii) Show that (17 + 23) + 33 = 17 + (23 + 33). (5 marks)

Read the passage and answer the questions. A teacher asks students to stand in rows for a drill. There are 12 students in one group and 13 in another. The first group can form different rectangles but the second can stand only in a single line. (i) List the different rectangular arrangements for 12 students. (ii) Why can 13 students stand only in a single line? (iii) Can 16 students stand as a square? How? (5 marks)

Read the passage and answer the questions. In a game, Ravi starts at 0 on a number line marked up to 20. He takes jumps of 3 units each to the right. Seema starts at 20 and takes jumps of 4 units each to the left. (i) Where is Ravi after 5 jumps? (ii) Where is Seema after 4 jumps? (iii) After how many jumps does Ravi first land on a number that is also a multiple of 4? (5 marks)

Read the passage and answer the questions. A factory produces 1,250 toys per day. In the first week it worked for 6 days and in the second week for 4 days. (i) Write the total production as a product using the distributive property. (ii) Find the total production in the two weeks. (iii) Which property is used when we write 1250 x 10 = 10 x 1250? (5 marks)

Draw a number line from 0 to 20 and show: (i) 7 + 8 (ii) 15 - 9 (iii) 4 x 3 (iv) 12 / 4 using repeated subtraction. Explain each operation as movement on the number line. (6 marks)

State with examples the commutative, associative and distributive properties of whole numbers and the identity elements for addition and multiplication. Explain why subtraction and division are neither commutative nor associative. (6 marks)

Draw dot patterns for the first four triangular numbers and the first four square numbers. Show that the sum of two consecutive triangular numbers is a square number, using 3 + 6 and 6 + 10 as examples. (6 marks)

Study the pattern 1 + 3 = 4, 1 + 3 + 5 = 9, 1 + 3 + 5 + 7 = 16. Write the next two lines, draw dot diagrams showing the squares built from odd numbers, and use the pattern to find the sum of the first 10 odd numbers. (6 marks)

Explain why division by zero is not defined, using the idea of division as repeated subtraction. Also show that 0 divided by any non-zero whole number is 0. Use a number line to show 15 / 5 by repeated subtraction. (6 marks)