Another Peek Beyond the Point Class 7 Worksheet with Answers Maths Chapter 4

Teachers can assign these Class 7 Ganita Prakash Worksheet and NCERT Class 7 Maths Chapter 4 Another Peek Beyond the Point Worksheet with Answers Pdf for daily practice.

Another Peek Beyond the Point Worksheet Class 7

Class 7 Maths Another Peek Beyond the Point Worksheet

Worksheet On Another Peek Beyond the Point Class 7 – Another Peek Beyond the Point Class 7 Ganita Prakash Worksheet

Multiple Choice Questions

Question 1.
The value of 0.36 × 2.5 is
(a) 0.09
(b) 0.9
(c) 9
(d) 90
Answer:
(b) 0.9 D

Question 2.
If 48 × 125 = 6000 then 4.8 × 1.25 equals
(a) 0.6
(b) 6
(c) 60
(d) 600
Answer:
(b) 6

Question 3.
Which of the following products is less than 1?
(a) 0.2 × 5
(b) 0.04 × 25
(c) 0.125 × 8
(d) 0.5 × 0.5
Answer:
(d) 0.5 × 0.5

Question 4.
If 24 + x = 96 then x is equal to
(a) 0.25
(b) 0.4
(c) 4
(d) 0.04
Answer:
(a) 0.25

Question 5.
The value of 6.48 ÷ 0.12 is
(a) 5.4
(b) 54
(c) 0.54
(d) 540
Answer:
(b) 54

Question 6.
How many decimal places will ÷ the quotient of 5 + 16 have?
(a) 1
(b) 2
(c) 3
(d) More than 3
Answer:
(d) More than 3

Question 7.
If the product of two decimals has 3 decimal places, which could be the numbers?
(a) 2.3 × 4
(b) 0.45 × 0.5
(c) 1.25 × 0.4
(d) 0.125 × 0.8
Answer:
(b) 0.45 × 0.5

Question 8.
In which of the following will the product be less than both numbers?
(a) 4.2 × 3
(b) 0.8 × 6
(c) 0.6 × 0.3
(d) 5 × 0.4
Answer:
(c) 0.6 x 0.3

Question 9.
Which division will never end?
(a) 5 + 8
(b) 3 + 20
(c) 7 + 9
(d) 11 + 25
Answer:
(c) 7 + 9

Assertion and Reason-based Questions.

1. Assertion (A) The product of two decimal numbers can be a whole number. Reason (R) Decimals are representations of fractions.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Answer:
(b) Both A and R are true but R is not the correct explanation of A.

2. Assertion (A) 18 ÷ 0.3 is greater than 18.
Reason (R) Dividing a number by a decimal number less than 1 decreases the quotient.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Answer:
(c) A is true but R is false.

3. Assertion (A) 9 + 0.09 = 100
Reason (R) Multiplying dividend and divisor by 100 does not change the
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Answer:
(a) Both A and R are true and R is the correct explanation of A.

4. Assertion (A) 1 + 7 gives a repeating decimal.
Reason (R) The remainders repeat in a fixed cycle.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Answer:
(a) Both A and R are true and R is the correct explanation of A.

Fill in the blanks

1. If 6.25 × 16 = 100 then 0.625 × 1.6 = _____
Answer:
1

2. A ribbon is 1.35 m long. The total length of 8 such ribbons is ____ m.
Answer:
10.8

3. The area of a rectangle with length 6.4 cm and breadth 2.75 cm is _____ sq cm.
Answer:
17.06

4. If the thickness of one sheet is 0.18 mm then the height of a stack 45 sheets is ____ mm.
Answer:
8.1

5. If 48.75 ÷ 5 = 9.75 then 487.5 ÷ 5 = ____
Answer:
97.5

6. To convert 3.6 ÷ 0.12 into division with a whole number divisor, both dividend and divisor must be multiplied by ____
Answer:
100

7. The quotient of 125 ÷ 0.25 is ______
Answer:
500

8. When dividing by 8, regrouping from hundredths leads to ______
Answer:
thosandths

9. If the divisor is a decimal less than 1, the quotient is generally ____ than the dividend.
Answer:
greater

10. The decimal representation of 1 + 11 _____
Answer:
0.090909

State whether the following statements given below are True or False.

1. The product of a decimal and a natural number is always greater than the decimal.
Answer:
False

2. 0.6 × 0.4 is less than both 0.6 and 0.4.
Answer:
True

3. Shifting the decimal point in both factors equally does not change the product.
Answer:
False

4. If the sum of decimal places in two numbers is 5 then the product must have exact 5 decimal places.
Answer:
False

5. The quotient of a division can be greater than the dividend.
Answer:
True

6. If dividend and divisor are multiplied by the same number, the quotient remains unchanged.
Answer:
True

7. While dividing by a decimal, only the divisor needs to be changed into a number.
Answer:
False

8. The quotient of 3.75 + 15 has fewer decimal places than the dividend.
Answer:
False

Complete the following table

Question 1.
Complete the following table, one has been done for you.

Decimal Multiplication	Product without Decimal	Product with Decimal
3.24 × 0.06	324 × 6 = 1944	0.1944
0.075 × 4.8	___ × ___ = ___	______
12.5 × 0.032	___ × ___ = ___	______
0.004 × 0.25	___ × ___ = ___	______

Answer:

Decimal Multiplication	Product without Decimal	Product with Decimal
3.24 × 0.06	324 × 6 = 1944	0.1944
0.075 × 4.8	75 × 48 = 3600,	0.34
12.5 × 0.032	125 × 32 = 4000,	0.4
0.004 × 0.25	4 × 25 = 100,	0.001

Question 2.

Complete the following table

Decimal Number + 10 +100	÷ 10	÷ 100
(i) 63.48
(ii) 9.205
(iii) 0.736
(iv) 0.084

Answer:

Decimal Number + 10 +100	÷ 10	÷ 100
(i) 63.48	6.348	0.6348
(ii) 9.205	0.9205	0.00736
(iii) 0.736	0.0736	0.09205
(iv) 0.084	0.0084	0.00084

Very Short Answer Type Questions

Question 1.
State whether 0.6 × 0.9 is less or greater than 0.9.
Answer:
Less than

Question 2.
How many decimal places are there in product 0.45 × 4.2?
Answer:
3

Question 3.
Convert \(\frac{9}{40}\) into decimal.
Answer:
0225

Question 4.
Does \(\frac{7}{125}\) never end? Also, find the quotient.
Answer:
No, it ends (terminates). Quotient = 0.056.

Short Answer Type Questions (2 marks each)

Question 1.
Evaluate (a) 5.82 + 10 (b) 9800 + 1000
Answer:
(a)0.582
(b) 9.8

Question 2.
Solve 9.6 + 4 .
Answer:
2.4

Question 3.
Find 7.2 + 0.6 .
Answer:
12

Question 4.
A metal wire of length 3.35 m is cut into 5 equal pieces. Find the length of each piece.
Answer:
0.67m

Question 5.
A shopkeeper buys 2.75 kg of sugar at ? 46.8 per kg and sells it at ? 52.5 per kg. Find the profit.
Answer:
15. 675

Question 6.
Explain with examples when the product of two decimals is
(a) greater than both numbers.
(b) less than both numbers.
Answer:
(a) When both decimal numbers are greater than 1.
(b) When both decimal numbers are less than 1.

Question 7.
A vehicle travels 96.6 km using 4.2 litres. Find the mileage.
Answer:
23 km/L

Long Answer Type Questions

Question 1.
Given that 25 × 15 = 37 5, find the products.
(a) 25 × 1.5
(b) 25 × 0.15
(c) 2.5 × 1.5
(d) 0.25 × 0.15
(e) 0.025 × 0.015
(f) 2.5 × 15
Answer:
(a) 37.5
(b)3.75
(C) 375
(d) 0.0375
(e) 0.000375
(f) 37.5
Product less than 1 Cases (d) and (e).

Question 2.
In which of the cases above is the product less than 1?
(ii) Find the quotients.
(a) 24.6 + 0.12
(b) 7.56 + 0.04
(c) 9.375 + 0.125
(d) 18.2 + 0.35
(e) 6.48 + 0.16
(f) 4.5 + 0.075
Answer:
(a) 205
(b) 189
(c) 75
(d) 52
(e) 40.5
(f) 60

Case Based Question

Shivani goes to a grocery store. She buys 2.5 kg of apples at ₹ 48.6 per kg and 1.2 kg of grapes at ₹ 72.5 per kg.
Based on the above information, Answer the following Questions.
(i) Find the cost of apples.
(ii) Find the cost of grapes.
(iii) Find the total amount Shivani has to pay.?
Answer:
(i) ₹ 121.50
(ii) ₹ 87
(iii) ₹ 208.50

Activity

Question 1.
Decimal Operations in Daily Life
A school organize a healthy drinks day to promote good eating habits. The canteen sells fresh fruit juice in the following quantities.
• Small cup : 0.25 L
• Medium cup : 0.50 L
• Large cup : 0.75 L

Ravi buys 2 medium cups and 1 small cup of juice.
Answer the following.
(i) Calculate the total quantity Ravi buys.
(ii) The juice is stored in a 2 L container. Find the quantity of juice left after Ravi’s purchase.
(iii) If Ravi had chosen one large cup instead of one medium cup, would the total quantity be more or less?

Question 2.
Decimal Operations in Daily Life : The School Decorators
The student council is decorating the school stage for an annual event. They are using rolls of ribbon of different lengths.
• Red Ribbon : 1.25 m
• Blue Ribbon : 2.50 m
• Gold Ribbon : 3.75 m
The decorating team uses 3 rolls of Red ribbon and 1 roll of Blue ribbon to frame the main banner.

Answer the following.
(i) Calculate the total length of ribbon used for the banner.
(ii) The team started with a total of 10.00 m of starting to tie the ribbons together. If they used 6.25 m of that string, how much string is left?
(iii) If the team had used one gold ribbon instead of Blue ribbon, would the total length be more or less?

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