A Peek Beyond the Point — Hard

Q1. Read the statements. I. Sonu noticed a tiny length difference between two screws. II. Tenths are introduced because whole-cm marks were not accurate enough. III. The screws were the same length. Which are correct?

• A. I and II only
• B. II and III only
• C. I and III only
• D. All three

Q2. Statements about 130/10 as discussed. I. It can be read as one hundred thirty tenths. II. Its mixed form is 13. III. Its mixed form is 1 3/10. Which are correct?

• A. I and II only
• B. II and III only
• C. I and III only
• D. All three

Q3. Assertion (A): The length 114/100 can also be written as 1 1/10 4/100. Reason (R): 100 hundredths equal 1 unit and 10 hundredths equal 1 tenth.

• 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, R is false.
• D. A is false, R is true.

Q4. Statements about the decimal place value system. I. Each place value is 10 times the place to its right. II. Each place is 10 times smaller than the place to its left. III. The hundredths place is 1000 times smaller than the tens place. Which are correct?

• A. I and II only
• B. II and III only
• C. I and III only
• D. All three

Q5. Asks: How can 234 tenths be written in decimal form?

• A. 23.4
• B. 0.234
• C. 234.0
• D. 2.34

Q6. The table asks: 203.6 cm = ___ m. Which value goes in the blank?

• A. 20.36 m
• B. 2036 m
• C. 0.2036 m
• D. 2.036 m

Q7. Following the worked example write 254 g as a decimal fraction of a kilogram.

• A. 0.254 kg
• B. 2.54 kg
• C. 25.4 kg
• D. 0.0254 kg

Q8. Asks which is larger, 6.456 or 6.465. Statements about the comparison: I. Both have 6 units. II. Both have 4 tenths. III. 6.456 has 5 hundredths and 6.465 has 6 hundredths. Which conclusion follows?

• A. All three statements imply 6.456 is larger because it has more digits after the point.
• B. All three statements imply 6.465 is larger.
• C. Statement III alone implies 6.456 is larger.
• D. The comparison cannot be made because both numbers have the same digits.

Q9. Asks: Among 3.56, 3.65 and 3.099, which is closest to 4?

• A. 3.099 because 0.901 < 1
• B. 3.65 because 4 - 3.65 = 0.35 is the smallest distance
• C. 3.56 because 4 - 3.56 = 0.44
• D. All three are equally close because each starts with 3

Q10. Sonu claims that the sum of any two decimals will be greater than the sum of their whole-number parts and less than 2 more than this sum. For 25.936 + 8.202, which range does Sonu's claim give?

• A. Between 33 and 35
• B. Between 25 and 8
• C. Between 33.5 and 35
• D. Between 33 and 34

Q11. From the Figure it Out exercise find 0.75 + 0.03.

• A. 0.105
• B. 0.78
• C. 1.05
• D. 0.075

Q12. A medicine error where 0.05 mg was read as 0.5 mg. By what factor was the dose actually given compared to the prescribed dose?

• A. 5 times
• B. 100 times
• C. 10 times
• D. Same — only the decimal moved

Q13. Sarayu hears 'the bus will reach the station 4.5 hours post noon'. At what time will the bus reach the station?

• A. 4:50 p.m.
• B. 4:25 p.m.
• C. 4:05 p.m.
• D. 4:30 p.m.

Q14. 23 hundreds equal 2300, written without a decimal. By the same logic, 23 hundredths in decimal form is

• A. 0.23
• B. 23.00
• C. 2.3
• D. 0.023

Q15. Asks: which decimal number is greater — 3.81 or 13.800?

• A. 3.81 because it has fewer digits after the point
• B. 13.800 because 13 > 3 in the tens-units position
• C. Both are equal because 13.800 ends in zeros
• D. 3.81 because 81 > 800/10