Each of our Ganita Prakash Class 7 Worksheet and Class 7 Maths Chapter 3 A Peek Beyond the Point Worksheet with Answers Pdf focuses on conceptual clarity.
Class 7 Maths Chapter 3 A Peek Beyond the Point Worksheet with Answers Pdf
A Peek Beyond the Point Class 7 Maths Worksheet
Class 7 Maths Chapter 3 Worksheet with Answers – Class 7 A Peek Beyond the Point Worksheet
Tick (✓) for the correct option
Question 1.
The length of the object shown in the figure is
(a) 2\(\frac{5}{10}\) units
(b) 2\(\frac{3}{10}\) units
(c) 2\(\frac{4}{100}\) units
(d) 2\(\frac{4}{10}\) units
Question 2.
The sum of 2\(\frac{1}{10}\) and 3\(\frac{4}{10}\) is
(a) 3\(\frac{5}{10}\)
(b) 5\(\frac{5}{10}\)
(c) 3\(\frac{5}{100}\)
(d) 6\(\frac{1}{10}\)
Question 3.
10\(\frac{23}{100}-\frac{815}{100}\) =
(a) 2\(\frac{8}{10}\)
(b) 2\(\frac{8}{100}\)
(c) 2\(\frac{80}{100}\)
(d) None of these
Question 4.
The length of the object shown in the figure is
(a) \(\frac{4}{10} \frac{7}{100}\) units
(b) 5\(\frac{7}{10} \frac{3}{100}\) units
(c) 5\(\frac{3}{100}\) units
(d) 5\(\frac{3}{10} \frac{7}{100}\) units
Question 5.
How many thousandths make one hundred?
(a) 1000
(b) 100
(c) 10
(d) 100,000
Question 6.
3\(\frac{3}{10} \frac{7}{100} \frac{8}{1000}\) = __________
(a) 3.378
(b) 33.78
(c) 337.8
(d) None of these
Question 7.
Which of the following is the greatest?
(a) 238.96
(b) 238.789
(c) 238.096
(d) 238.997
Question 8.
The closest to 4.48 is
(a) 4.4
(b) 4.5
(c) 4.45
(d) 4.52
Question 9.
The decimal form of 854 tenths is
(a) 8.54
(b) 85.4
(c) 0.854
(d) None of these
Question 10.
The decimal form of 729 hundredths is
(a) 729
(6) 72.9
(c) 7.29
(d) None of these
Question 11.
The sum of 13.87 and 2.005 is
(a) 15.875
(6) 1.5875
(c) 158.75
(d) 0.15875
Question 12.
A fruit vendor has 1.012 kg of apples out of which 0.250 kg were rotten. The weight of fresh apples is
(a) 5.26 kg
(6) 0.440 kg
(c) 0.762 kg
(d) 7.62 kg
Question 13.
Which of the following is equivalent to 0.32?
(a) \(\frac{2}{10}+\frac{3}{100}\)
(b) \(\frac{2}{100}+\frac{3}{10}\)
(c) \(\frac{32}{10}\)
(d) \(\frac{32}{100}\)
Question 14.
In the number 4.67, what is the value of the digit 7?
(a) 7 tenths
(b) 7 hundredths
(c) 7 ones
(d) 7 tens
Question 15.
What is \(\frac{7}{10}\) written as a decimal?
(a) 0.7
(b) 7.0
(c) 0.07
(d) 70.0
Question 16.
What is \(\frac{3}{10}\) written as a decimal?
(a) 0.3
(b) 3.0
(c) 0.03
(d) 30.0
Question 17.
Which of the following is greater, 0.6 or 0.66?
(a) 0.6
(b) 0.66
(c) They are equal
(d) Can not be determined
Assertion-Reason Questions
In questions 1 and 4, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option.
Question 1.
Assertion (A) : 5 tenths is the same as 500 thousandths.
Reason (R) : 100 thousandths make one-tenth of a unit.
(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.
Question 2.
Assertion (A) : \(\frac{135}{10}\) is smaller than 12\(\frac{5}{10}\).
Reason (R) : 100 tenths is equal to 10 units.
(?) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(?) 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.
Question 3.
Assertion (A) : The sum of 0.6 and 0.006 is 0.606.
Reason (R) : While adding vertically, the decimal point must be placed under the decimal point.
(?) 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. id) (A) is false, but (R) is true.
Question 4.
Assertion (A) : 2.1, 3.45, and 4.507 are written in increasing order.
Reason (R) : A number having a greater number at tenth place is greater.
(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.
Question 5.
Assertion (A) : 73 paise = ₹ 0.73.
Reason (R) : One rupee = 100 paise.
(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.
Fill in the blanks
1. Ten times \(\frac{1}{10}\) is equal to _____________________
2. 4\(\frac{3}{10}\) is read as four- _____________________
3.5\(\frac{4}{10}\)\(\frac{9}{100}\) is read as five- _____________________
4. Next term in the series 4, 4\(\frac{3}{10}\), 4\(\frac{6}{10}\) is _____________________
5. __________ thousandths make one unit.
6. 1 mm = __________ cm
7. 2 rupees 35 paise can be written as __________.
8. 5.6 + 2.31 – 1.007 – __________
9. ______________ mm = 42.9 cm
10. 826cm = ___________ m
11. ____ g = 9.5kg
12. 1834 mm = ___________ cm
13. 1749g = ____ kg
14. 380 p = ₹ ____
15. __________ mm = 52.9 cm
16. 726 cm = __________ m
17. __________ g = 8.5 kg
18. 2834 mm = __________ cm
19. 2749 g = __________ kg
Write (T) for true or (F) for false for the given statements
1. To improve accuracy in measuring length, a cm is divided into ten equal parts.
2. 41 tenths is the same as 40\(\frac{1}{10}\).
3. 10\(\frac{2}{10} \frac{7}{100}\) is the same as 10\(\frac{23}{100}\).
4. \(\frac{33}{100}\) is greater than \(\frac{3}{10}\).
5. 100 thousandths make \(\frac{1}{10}\) units.
6. 2 ones 2 tenths 5 hundredths 1 thousandths can be written as 2\(\frac{1}{2}\).
7. 1 gram = 0.001 kg
8. 0.3 = 0.30 = 0.300.
9. 1 mm = 100 km
10. 500 hundredths make \(\frac{5}{101}\) units.
11. \(\frac{1}{10}\) is greater than \(\frac{10}{100}\)
12. 3 ones 7 tenths 5 hundredths 1 thousandths is same as 2\(\frac{3}{10} \frac{5}{100} \frac{7}{1000}\)
Match the following
Match the quantities mentioned in Column I with the decimal form in Column II:
Question 1.
| Column I | Column II |
| (a) 18 tens and 6 tenths | (i) 34.75 |
| (b) 45 tens, 45 ones, 45 tenths, and 45 hundredths | (ii) 233.3 |
| (c) 22 tens, 13 ones, and 3 tenths | (iii) 499.95 |
| (d) 9 tens, 8 tenths, and 70 hundredths | (iv) 180.6 |
| (e) 34 ones, 7 tenths, and 5 hundredths | (v) 91.5 |
Answer:
| Column I | Column II |
| (a) 18 tens and 6 tenths | |
| (b) 45 tens, 45 ones, 45 tenths, and 45 hundredths | |
| (c) 22 tens, 13 ones, and 3 tenths | |
| (d) 9 tens, 8 tenths, and 70 hundredths | |
| (e) 34 ones, 7 tenths, and 5 hundredths |
Question 2.
| Column I | Column II |
| (a) 28 tens and 6 tenths | (i) 44.75 |
| (b) 55 tens, 45 ones, 45 tenths, and 45 hundredths | (ii) 83.1 |
| (c) 2 tens, 57 ones, 17 tenths, and 440 hundredths | (iii) 599.95 |
| (d) 9 hundreds, 8 ones, and 70 thousandths | (iv) 280.6 |
| (e) 44 ones, 7 tenths, and 5 hundredths | (v) 908.07 |
Answer:
| Column I | Column II |
| (a) 28 tens and 6 tenths | |
| (b) 55 tens, 45 ones, 45 tenths, and 45 hundredths | |
| (c) 2 tens, 57 ones, 17 tenths, and 440 hundredths | |
| (d) 9 hundreds, 8 ones, and 70 thousandths | |
| (e) 44 ones, 7 tenths, and 5 hundredths |
Very Short Answer Type Questions
Question 1.
Arrange the following numbers in descending order:
10.98, 10.089, 10.809, 10.908, 10.981
Solution:
________________________________
________________________________
Question 2.
Arrange the following numbers in ascending order:
22.31, 22.13, 22.331, 22.313, 22.133
Solution:
________________________________
________________________________
Question 3.
Vijay delivers 2.5 kg, 3.2 kg, and 4.1 kg of apples to a store in the first three days. In 7 days, he delivers 20 kg of apples. What is the total quantity of apples delivered in the last four days?
Solution:
________________________________
________________________________
Short Answer Type Questions
Question 1.
Arrange in increasing order: \(\frac{9}{10}, \frac{7}{10}, \frac{130}{10}, \frac{115}{10}\)
Solution:
________________________________________
________________________________________
Question 2.
Arrange in decreasing order: \(\frac{8}{100}, \frac{16}{100}, \frac{120}{100}, \frac{11}{100}\)
Solution:
________________________________________
________________________________________
Question 3.
Simplify: 5\(\frac{5}{10}\) + 4\(\frac{1}{10}\) – 7\(\frac{4}{10}\)
Solution:
________________________________________
________________________________________
Question 4.
Simplify: 4\(\frac{2}{10} \frac{33}{100}\) + 2\(\frac{5}{10} \frac{16}{100}\)
Solution:
________________________________________
________________________________________
Question 5.
How many hundredths make \(\frac{1}{10}\) of a unit?
Solution:
____________________________
____________________________
Question 6.
Write 2345 thousandths in decimals.
Solution:
____________________________
____________________________
Question 7.
The weight of a gold chain is 12 grams. Write its weight in kilograms using decimals.
Solution:
____________________________
____________________________
Question 8.
Arrange in increasing order: 2.7, 2.95, 2.05, 2.843
Solution:
____________________________
____________________________
Question 9.
Arrange in decreasing order: 3.5, 4.15, 3.45, 4.178, 2.9, 5.50
Solution:
____________________________
____________________________
Question 10.
Suman purchases 0.75 kg of wheat, 0.5 kg of barley, and 0.45 kg of oats. What is the total weight of the items she bought?
Solution:
____________________________
____________________________
Question 11.
What will be the sum of 6\(\frac{4}{10}-\frac{8}{100}\) and 14\(\frac{5}{10}-\frac{3}{100}\)?
Solution:
____________________________
____________________________
Question 12.
What is \(\frac{9}{100}\) in decimal form?
Solution:
____________________________
____________________________
Question 13.
Write 0.07 as a fraction.
Solution:
____________________________
____________________________
Question 14.
How many hundredths are equal to five tenths?
Solution:
____________________________
____________________________
Question 15.
What decimal represents three tenths?
Solution:
____________________________
____________________________
Question 16.
Write \(\frac{1}{2}\) as a decimal.
Solution:
____________________________
____________________________
Question 17.
The length of a clownfish is \(\frac{43}{10}\) cm, and the length of a cardinal tetra is \(\frac{25}{10}\) cm. What is the difference in their 10 lengths?
Solution:
____________________________
____________________________
Question 18.
Red ribbon is \(\frac{32}{10}\) m long and blue ribbon is \(\frac{23}{10}\) m long. What is the total length of the two ribbons together?
Solution:
____________________________
____________________________
Question 19.
Arrange in descending order: \(\frac{43}{10}, \frac{52}{10}, \frac{39}{10}, \frac{48}{10}\)
Solution:
____________________________
____________________________
Question 20.
Arrange in ascending order: \(\frac{43}{10}, 4, \frac{39}{10}, \frac{28}{10}\)
Solution:
____________________________
____________________________
Question 21.
Leaf of Ashoka tree is \(\frac{153}{10}\) cm and that of neem tree is \(\frac{39}{10}\) cm. Which leaf is longer and by how much?
Solution:
____________________________
____________________________
Question 22.
Observe the pattern and find the next term:
(a) \(\frac{21}{10}, \frac{32}{10}, \frac{43}{10}\), ______________, ______________, ______________
(b) \(\frac{53}{10}, \frac{43}{10}, \frac{33}{10}\), ______________, ______________, ______________
(c) \(\frac{21}{10}, \frac{43}{10}, \frac{45}{10}\), ______________, ______________, ______________
(d) \(\frac{11}{10}, \frac{25}{10}, \frac{39}{10}\), ______________, ______________, ______________
Solution:
____________________________
____________________________
Case Based Questions
The lengths of the body parts of a honeybee are given.
Head: 2 \(\frac{9}{10}\) mm
Thorax: 4 \(\frac{6}{10}\) mm
Abdomen: 6\(\frac{4}{10}\) mm
(i) Find its total length.
(ii) Write the length of the shortest body part using decimals.
(iii) How much longer is the abdomen than the thorax?
(iv) What is the total length of its body?
Solution:
______________________________________
______________________________________
______________________________________
______________________________________
Read the following passage and answer the questions.
Shyam was trying to measure the length of his toy’s parts using a scale. He noticed that two screws looked similar, but they were slightly different in length – one was 2.7 cm and the other 3.2 cm. He was curious about why such a small difference matters.
Question 1.
What is the total length of both screws?
(a) 5.8 cm
(b) 5.9 cm
(c) 5.7 cm
(d) 6.0 cm
Question 2.
What is the difference between the two screws?
(a) 0.5 cm
(b) 0.4 cm
(c) 0.6 cm
(d) 0.3 cm
Question 3.
Which screw is longer and by how much?
(a) First screw by 0.4 cm
(b) Second screw by 0.4 cm
(c) Second screw by 0.5 cm
(d) First screw by 0.5 cm
Question 4.
Which unit would give a more accurate reading for these measurements?
(a) Metres
(b) Millimetres
(c) Kilometres
(d) Inches
Crossword Puzzle
Complete the crossword puzzle using the given directions. One is done for your.
Directions:
Across:
1. Write 0.7 in fraction from with denominator 10. SEVEN
2. Which digit is in the hundredth place in 3.528? __________
4. Compare: Which is the smallest 4, 4.001, or 4.0001? __________
8. Write 0.8 centimeter in millimeters. __________
Down:
3. Write 30 millimeters in centimeters.
5. Add: 6.25 + 2.75 = ?
6. Subtract: __________ – 2.75 = 2.25.
7. Locate on number line: 6.45 lies between __________ and 7.
