Fill in the blanks to make the expressions equal on both sides of the = sign: (a) 13 + 4 = ___ + 6
  • 11
  • 12
  • 10
  • 9
Fill in the blanks to make the expressions equal on both sides of the = sign: (b) 22 + ___ = 6 × 5
  • 8
  • 6
  • 10
  • 12
Fill in the blanks to make the expressions equal on both sides of the = sign: (c) 8 × ___ = 64 ÷ 2
  • 4
  • 2
  • 6
  • 8
Fill in the blanks to make the expressions equal on both sides of the = sign: (d) 34 – ___ = 25
  • 9
  • 7
  • 12
  • 15
Arrange the following expressions in ascending (increasing) order of their values: (a) 67 – 19 (b) 67 – 20 (c) 35 + 25 (d) 5 × 11 (e) 120 ÷ 3. Which of the following is the correct order?
  • (b), (a), (d), (c), (e)
  • (a), (b), (c), (d), (e)
  • (b), (a), (c), (d), (e)
  • (a), (b), (d), (e), (c)
Use '>' or '
  • 245 + 289 > 246 + 285
  • 245 + 289
  • 245 + 289 = 246 + 285
Example 5: Irfan bought a pack of biscuits for ₹15 and a packet of toor dal for ₹56. He gave the shopkeeper ₹100. Which of the following expressions can help us calculate the change Irfan will get back from the shopkeeper?
  • 100 - (15 + 56)
  • 100 + (15 + 56)
  • 100 - (15 - 56)
  • 100 + (15 - 56)
Fill in the blanks: Express 4 + 15 - 9 as the sum of its terms. (Write each term in the blank) Expression: 4 + 15 - 9 Expression as the sum of its terms: (____) + (____) + (____)
  • 4, 15, -9
  • 4, 15, 9
  • 4, -15, 9
  • -4, 15, 9
Fill in the blanks: Express 23 - 2 × 4 + 16 as the sum of its terms. (Write each term in the blank) Expression: 23 - 2 × 4 + 16 Expression as the sum of its terms: (____) + (____) + (____) Terms: 23, -2 × 4, 16
  • 23, -2 × 4, 16
  • 23, 2 × 4, 16
  • 23, -2 × 4, -16
  • 23, 2 × 4, -16
Fill in the blanks: Express 28 + 19 - 8 as the sum of its terms. (Write each term in the blank) Expression: 28 + 19 - 8 Expression as the sum of its terms: (____) + (____) + (____)
  • 28, 19, -8
  • 28, 19, 8
  • 28, -19, 8
  • 28, 8, -19
Can you explain why this is happening using the Token Model of integers that we saw in the Class 6 textbook of mathematics? Thus, in an expression having two terms, swapping them does not change the value. Term 1 + Term 2 = Term 2 + Term 1
  • Because the Token Model shows that swapping tokens does not change their total value.
  • Because the Token Model only works for subtraction.
  • Because the Token Model ignores the value of tokens.
  • Because the Token Model changes the value when terms are swapped.
Raghu bought 100 kg of rice from the wholesale market and packed them into 2 kg packets. He already had four 2 kg packets. Write an expression for the number of 2 kg packets of rice he has now and identify the terms.
  • The terms are 4 and 100/2.
  • The terms are 2 and 100/4.
  • The terms are 100 and 2/4.
  • The terms are 4 and 2/100.
For each of the following situations, write the expression describing the situation, identify its terms and find the value of the expression. (a) Queen Alia gave 100 gold coins to Princess Elsa and 100 gold coins to Princess Anna last year. Princess Elsa used the coins to start a business and doubled her coins. Princess Anna bought jewellery and has only half of the coins left. Write an expression describing how many gold coins Princess Elsa and Princess Anna together have.
  • Expression: (100 × 2) + (100 ÷ 2) = 200 + 50 = 250
  • Expression: (100 × 2) + (100 × 2) = 200 + 200 = 400
  • Expression: (100 ÷ 2) + (100 ÷ 2) = 50 + 50 = 100
  • Expression: (100 × 2) + (100 × 1) = 200 + 100 = 300
A metro train ticket between two stations is ₹40 for an adult and ₹20 for a child. What is the total cost of tickets: (i) for four adults and three children?
  • Expression: (4 × 40) + (3 × 20) = 160 + 60 = ₹220
  • Expression: (4 × 40) + (3 × 40) = 160 + 120 = ₹280
  • Expression: (4 × 20) + (3 × 40) = 80 + 120 = ₹200
  • Expression: (4 × 20) + (3 × 20) = 80 + 60 = ₹140
A metro train ticket between two stations is ₹40 for an adult and ₹20 for a child. What is the total cost of tickets: (ii) for two groups having three adults each?
  • Expression: 2 × (3 × 40) = 2 × 120 = ₹240
  • Expression: 2 × (3 × 20) = 2 × 60 = ₹120
  • Expression: 3 × (2 × 40) = 3 × 80 = ₹240
  • Expression: 2 × (3 × 40) + 2 × (3 × 20) = ₹360
Find the total height of the window by writing an expression describing the relationship among the measurements shown in the picture.
  • Total Height = Border + Grill + Gap = 3 cm + 2 cm + 5 cm = 10 cm
  • Total Height = Border + Grill = 3 cm + 2 cm = 5 cm
  • Total Height = Grill + Gap = 2 cm + 5 cm = 7 cm
  • Total Height = Border + Gap = 3 cm + 5 cm = 8 cm
What is the value of 500 – (250 – 100) without brackets?
  • 350
  • 250
  • 400
  • 150
Hira has a rare coin collection. She has 28 coins in one bag and 35 coins in another. She gifts her friend 10 coins from the second bag. Write an expression for the number of coins left with Hira.
  • 28 + (35 – 10)
  • 28 + 35 + 10
  • 28 – (35 – 10)
  • 28 + (35 + 10)
What happens to the value of an expression if we increase or decrease the value of one of its terms?
  • The value of the expression changes accordingly.
  • The value of the expression remains the same.
  • The value of the expression becomes zero.
  • The value of the expression always increases.
Add brackets at appropriate places in the expressions such that they lead to the values indicated. (a) 34 – 9 + 12 = 13 (b) 56 – 14 – 8 = 34 (c) –22 – 12 + 10 + 22 = –22
  • (a) 34 – (9 + 12) = 13 (b) 56 – (14 + 8) = 34 (c) (–22 – 12) + (10 + 22) = –22
  • (a) (34 – 9) + 12 = 13 (b) 56 – (14 – 8) = 34 (c) –22 – (12 + 10) + 22 = –22
  • (a) 34 – 9 + (12) = 13 (b) (56 – 14) – 8 = 34 (c) –22 – 12 + (10 + 22) = –22
  • (a) (34 – 9 + 12) = 13 (b) 56 – 14 – (8) = 34 (c) –22 – (12 + 10 + 22) = –22
Using only reasoning of how terms change their values, fill the blanks to make the expressions on either side of the equality (=) equal. (a) 423 + _____ = 419 + _____ (b) 207 – 68 = 210 – _____
  • (a) 423 + (–4) = 419 + 0 (b) 207 – 68 = 210 – 71
  • (a) 423 + 4 = 419 + 8 (b) 207 – 68 = 210 – 65
  • (a) 423 + 0 = 419 + 4 (b) 207 – 68 = 210 – 68
  • (a) 423 + (–4) = 419 + (–4) (b) 207 – 68 = 210 – 68
Using the numbers 2, 3 and 5, and the operators ‘+’ and ‘–’, and brackets, as necessary, how many different values can be generated?
  • 6
  • 4
  • 5
  • 3
Whenever Jasoda has to subtract 9 from a number, she subtracts 10 and adds 1 to it. For example, 36 – 9 = 26 + 1. (a) Do you think she always gets the correct answer? Why?
  • Yes, she always gets the correct answer because subtracting 10 and adding 1 is the same as subtracting 9.
  • No, she sometimes gets the wrong answer because subtracting 10 and adding 1 is not always the same as subtracting 9.
  • She never gets the correct answer using this method.
  • She only gets the correct answer when the number is a multiple of 10.
Whenever Jasoda has to subtract 9 from a number, she subtracts 10 and adds 1 to it. For example, 36 – 9 = 26 + 1. (b) Which of the following is a similar strategy for subtracting 8 from a number?
  • Subtract 10 and add 2
  • Subtract 7 and add 1
  • Subtract 9 and add 1
  • Subtract 8 and add 2
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