Grade 2 Properties and Ideas

Glide to success with Doorsteptutor material for IMO-Level-2 Class-7: fully solved questions with step-by-step explanation- practice your way to success.

Download PDF of This Page (Size: 1.1M)

(1) Fill the Boxes

(a)

(b)

(c)

(d)

(2) Fill the Boxes

(a)

(b)

(c)

(d)

(3) Fill the Boxes

(a) 32 buns can be packed as:

(b) 72 marbles can be packed into:

(c) 90 pages can be stacked into:

(4) Fill the Boxes

(a)

(b)

(c)

(d)

(5) Fill the Boxes

(a)

(b)

(c)

(d)

(6) Fill the Boxes

(a)

(b)

(7) Fill the Boxes with × or ÷

(a)

(b)

(c)

(8) Fill the Boxes with × or ÷

(a)

(b)

(c)

(d)

(9) Fill the Boxes with × or ÷

(a)

(b)

(c)

(10) Fill the Boxes

(a)

(b)

(c)

(d)

(11) Answers the Questions

(a)

(b)

(c)

(12) Answers the Questions

(a)

(b)

(c)

(13) Fill the Boxes

(a)

(b)

(c)

(d)

(e)

(14) Fill the Boxes

(a)

(b)

(c)

(d)

(e)

(15) Fill the Boxes

(a)

(b)

(c)

(d)

(e)

(16) Fill the Boxes

(a)

(b)

(c)

(d)

(e)

(17) Some Beads Are Arranged Such That Every 3Rd Bead is a Green Bead. All the Other Beads Are Pink

Illustration 1 for (17) Some beads are arranged such that every 3rd bead is a green bead. All the other beads are pink.

Illustration 1 for (17) Some Beads Are Arranged Such That Every 3rd Bead is a Green Bead. All the Other Beads Are Pink.

(a) The 3rd bead is the 1st green bead. Which bead will be the 2nd green bead?

(b) Which bead will be the 8th green bead?

(c) Which bead will be the 10th green bead?

(d) Which colour will the 16th bead be?

(e) Which colour will the 38th bead be?

(f) Which colour will the 12th bead be?

Answers and Explanations

Answer 1 (A)

  • Given statements left and right both side answers are equal.

  • So, in left side:

  • In right side:

  • Then,

  • After 6 come in left side and put as a denominator.

  • Therefore, the correct answer is

Answer 1 (B)

  • Given statements left and right both side answers are equal.

  • So, in left side:

  • In right side:

  • Then,

  • After 4 come in left side and put as a denominator.

  • Therefore, the correct answer is

Answer 1 (C)

  • Given statements left and right both side answers are equal.

  • So, in left side:

  • In right side:

  • Then,

  • After 2 come in left side and put as a denominator.

  • Therefore, the correct answer is

Answer 1 (D)

  • Given statements left and right both side answers are equal.

  • So, in left side:

  • In right side:

  • Then,

  • After 3 come in left side and put as a denominator.

  • Therefore, the correct answer

Answer 2 (A)

  • In the left side statement,

  • Multiply 2 and 3:

  • Then multiply 5 and 6

  • So,

  • After 3 come in left side as a denominator.

  • Therefore, the answer is

Answer 2 (B)

  • In the left side statement,

  • Multiply 6 and 5 :

  • Then multiply 30 and 4

  • So,

  • After 3 come in left side as a denominator.

  • Therefore, the answer is

Answer 2 (C)

  • In the left side statement,

  • Multiply 3 and 7 :

  • Then multiply 21 and 6

  • So,

  • After 7 come in left side as a denominator.

  • Therefore, the answer is

Answer 2 (D)

  • In the left side statement,

  • Multiply 4 and 3 :

  • Then multiply 12 and 8

  • So,

  • After 8 come in left side as a denominator.

  • Therefore, the answer is

Answer 3 (A)

  • 32 buns can be packed as:

  • 1st – 8 packs of 4 buns:

  • 2nd -

  • So, number of buns

  • Pack of buns

  • Hence, packs

  • Therefore,

Answer 3 (B)

  • 72 marbles can be packed into:

  • 1st – 9 boxes of 8 marbles:

  • 2nd

  • So, number of marbles

  • Number of box

  • So, each box has marbles

  • Therefore,

Answer 3 (C)

  • 90 pages can be stacked into:

  • 1st – 9 stacks of 10 pages:

  • 2nd

  • So, number of pages

  • Number of stacks

  • So, each stack has pages

  • Therefore,

Answer 4 (A)

  • In given multiplication problem,

  • Product and second number

  • So, first number

  • Therefore, the answer is .

Answer 4 (B)

  • In given multiplication problem,

  • Product and second number

  • So, first number

  • Therefore, the answer is .

Answer 4 (C)

  • In given multiplication problem,

  • Product and second number

  • So, first number

  • Therefore, the answer is .

Answer 4 (D)

  • In given division problem,

  • So,

  • Therefore, the answer is .

Answer 5 (A)

  • In given division problem,

  • So,

  • Therefore, the answer is .

Answer 5 (B)

  • In given multiplication problem,

  • Product and first number

  • So, second number

  • Therefore, the answer is .

Answer 5 (C)

  • In given multiplication problem,

  • Product and first number

  • So, second number

  • Therefore, the answer is .

Answer 5 (D)

  • In given multiplication problem,

  • Product and first number

  • So, second number

  • Therefore, the answer is .

Answer 6 (A)

  • In given division problem,

  • Quotient and divisor

  • So, dividend

  • Therefore, the answer is .

Answer 6 (B)

  • In given division problem,

  • Quotient and divisor

  • So, dividend

  • Therefore, the answer is .

Answer 7 (A)

  • In given statement,

  • Result , first number and second number

  • So, product

  • Therefore, the correct sign is

Answer 7 (B)

  • In given statement,

  • Result , first number and second number

  • So, division because first number is larger.

  • Hence,

  • Therefore, the correct sign is

Answer 7 (C)

  • In given statement,

  • Result , first number and second number

  • So, product

  • Therefore, the correct sign is

Answer 8 (A)

  • In given statement,

  • Result , first number and second number

  • So, division because first number is larger.

  • Hence,

  • Therefore, the correct sign is

Answer 8 (B)

  • In given statement,

  • Result , first number and second number

  • So, product

  • Therefore, the correct sign is

Answer 8 (C)

  • In given statement,

  • Result , first number and second number

  • So, product

  • Therefore, the correct sign is

Answer 8 (D)

  • In given statement,

  • Result , first number and second number

  • So, product

  • Therefore, the correct sign is

Answer 9 (A)

  • In given statement,

  • Result , first number and second number

  • So, division because first number is larger.

  • Hence,

  • Therefore, the correct sign is

Answer 9 (B)

  • In given statement,

  • Result , first number and second number

  • So, division because first number is larger.

  • Hence,

  • Therefore, the correct sign is

Answer 9 (C)

  • In given statement,

  • Result , first number and second number

  • So, product

  • Therefore, the correct sign is

Answer 10 (A)

  • Given multiplication problem,

  • Multiplication:

  • Therefore, the answer is .

Answer 10 (B)

  • Given multiplication problem,

  • Multiplication:

  • Therefore, the answer is .

Answer 10 (C)

  • Given multiplication problem,

  • Multiplication:

  • Therefore, the answer is .

Answer 10 (D)

  • Given multiplication problem,

  • Multiplication:

  • Therefore, the answer is .

Answer 11 (A)

  • Given multiplication problem,

  • Multiplication:

  • Therefore, the answer is .

Answer 11 (B)

  • Given multiplication problem,

  • Multiplication:

  • Therefore, the answer is .

Answer 11 (C)

  • Given multiplication problem,

  • Multiplication:

  • Therefore, the answer is .

Answer 12 (A)

  • Given multiplication problem,

  • Multiplication:

  • Therefore, the answer is .

Answer 12 (B)

  • Given multiplication problem,

  • Multiplication:

  • Therefore, the answer is .

Answer 12 (C)

  • Given multiplication problem,

  • Multiplication:

  • Therefore, the answer is .

Answer 13 (A)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 13 (B)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 13 (C)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 13 (D)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 13 (E)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 14 (A)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 14 (B)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 14 (C)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 14 (D)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 14 (E)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 15 (A)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 15 (B)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 15 (C)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 15 (D)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 15 (E)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 16 (A)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 16 (B)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 16 (C)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 16 (D)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 16 (E)

  • Given division problem,

  • Division:

  • Therefore, the answer is .

Answer 17 (A)

  • The 3rd bead 1st green bead

  • So, 2nd green bead

  • Now, cross multiplication:

  • Therefore, 6th bead is the 2nd green bead.

Answer 17 (B)

  • The 3rd bead 1st green bead

  • So, 8th green bead

  • Now, cross multiplication:

  • Therefore, 24th bead is the 8th green bead.

Answer 17 (C)

  • The 3rd bead 1st green bead

  • So,10th green bead

  • Now, cross multiplication:

  • Therefore, 30th bead is the 10th green bead.

Answer 17 (D)

  • The 1st and 2nd bead is pink

  • 3rd bead is green.

  • So, pink beads

  • Green beads (In short, divisible by 3 it’s green colour bead)

  • Therefore, 16th bead will be pink colour.

Answer 17 (E)

  • The 1st and 2nd bead is pink

  • 3rd bead is green.

  • So, pink beads

  • Green beads (In short, divisible by 3 it’s green colour bead)

  • Therefore, 38th bead will be pink colour.

Answer 17 (f)

  • The 1st and 2nd bead is pink

  • 3rd bead is green.

  • So, pink beads

  • Green beads (In short, divisible by 3 it’s green colour bead)

  • Therefore, 12th bead will be green colour.

Developed by: