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Fractions & Decimals Test - 3

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Fractions & Decimals Test - 3
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  • Question 1
    1 / -0
    What is the difference between 8 tens 24 tenths and 25 hundredths and 6 tens 28 tenths and 90 thousandths?
    Solution
    8 tens 24 tenths and 25 hundredths = = 80 + 2.4 + 0.25 = 82.65
    6 tens 28 tenths and 90 thousandths = = 60 + 2.8 + 0.09 = 62.89
    The difference between( 8 tens 24 tenths and 25 hundredths) and (6 tens 28 tenths and 90 thousandths) = 82.65 - 62.89 = 19.76
  • Question 2
    1 / -0
    In a product of 12.85 and 2. Find the place value of the digit 5.
    Solution
    12.85 x 2 = 25.7
    5 is at ones place
    So, the place value of 5 is ones or 5.
  • Question 3
    1 / -0
    What would be the answer if we divide the sum of 4.8 and 8.2 by 5?
    Solution
    8.20 + 4.80 = 13.00
    = 2.6

  • Question 4
    1 / -0
    What is 1289.367 rounded to the nearest hundredth?
    Solution
    When we are rounding to the nearest hundredth for 1289.367 we look at the digits at thounsandths place which is 7. So, 7 is more than 5, so we round up to 1289.37.
  • Question 5
    1 / -0
    Which of the following options is in descending order?
    Solution
    Descending order means the numbers written from biggest to smallest.
    Biggest number is 29.400, then 19.040 and the smallest is 9.400
    So, 29.400 > 19.040 > 9.400
  • Question 6
    1 / -0
    In a school marathon race, Rahul ran km and Sunil ran km. How much farther did Sunil ran than Rahul?
    Solution
    Sunil's distance - Rahul's distance = Required answer.



    =
    = km

    = km
  • Question 7
    1 / -0
    What fraction of the given figure is unshaded?

    Solution
    We have to divide the shaded parts in halves. This is done because it is not possible to find the fraction without making equal parts as shown in the figure:

    So, total number of equal parts = 12
    Number of shaded parts = 4
    Number of unshaded parts = 8
    Fraction of the unshaded parts =
  • Question 8
    1 / -0
    If Jonah gave of his cake to each of his 4 friends, then what fraction of cake is left with Jonah?
    Solution
    Fraction of cake given to friends = =
    Fraction of cake left with Jonah =
    =

    = =
  • Question 9
    1 / -0
    What is the product of 6 and the difference between 3456 hundredths and 456 tenths? (Round off your answer to 1 decimal place.)
    Solution
    3456 hundredths = 34.56
    456 tenths = 45.6
    45.6 - 34.56 = 11.04
    11.04 x 6 = 66.24 = 66.2
  • Question 10
    1 / -0
    Gaurav started using olive oil in place of sunflower oil. He uses cup of olive oil for every cup of sunflower oil. How much olive oil will he use for 3 cups of sunflower oil?
    Solution
    cup of olive oil = cup of sunflower oil

    cup of olive oil = cup of sunflower oil

    1 cup of sunflower oil = cup of olive oil.
    So, 3 cups of sunflower oil = cups of olive oil.
  • Question 11
    1 / -0
    What fraction of the figure given below is shaded?


    Solution
    The figure given above is the same as the following figure. We can see that half () of the figure is shaded.

  • Question 12
    1 / -0
    Length of two ribbons is 7.325 cm and cm. Which number sentence correctly compares the width of these two ribbons?
    Solution
    cm = cm = 7.4 cm

    7.325 cm < 7.4 cm.
  • Question 13
    1 / -0
    How many triangles do we need to shade, so that exactly of the figure is shaded?

    Solution
    Total number of triangles = 16



    Hence, we need to shade 4 triangles.
  • Question 14
    1 / -0
    A boy thinks of a decimal number. Then he multiplied that number with 5 after subtracting 2.3 from it. Then he added 5 to that number and gets 21.5. What number that the boy had thought of?
    Solution
    On reversing the order of operations used in question, we get
    21.5 - 5 = 16.5
    16.5 ÷ 5 = 3.3
    3.3 + 2.3 = 5.6
    So, the required number is 5.6.
  • Question 15
    1 / -0
    What is the difference between 394.325 and 400?
    Solution
    400 - 394.325 = 5.675



  • Question 16
    1 / -0
    Which of the following fractions are in the order from greatest to least?
    Solution
    Decimal expansion of fractions =



    So, are in order from largest to smallest.
  • Question 17
    1 / -0
    What is the missing value in the given mathematical statement?

    0.75 x 40 = 0.75 x 10 + 0.75 x 10 + 0.75 x 10 + 0.75 x ?
    Solution
    0.75 x 40 = 0.75 x 10 + 0.75 x 10 + 0.75 x 10 + 0.75 x ?
    0.75 x 40 = 0.75 x (10 + 10 + 10 + ?)

    = 30 + ?

    40 = 30 + ?
    40 - 30 = ?
    10 = ?
    So, the missing value is 10.
  • Question 18
    1 / -0
    What will replace the question mark (?) in the given equation?


    Solution

  • Question 19
    1 / -0
    Divide 65.27 by the sum of 23 tenths and 512 hundredths and write your answer upto four decimal places.
    Solution
    23 tenths = 2.3
    512 hundredths = 5.12
    So, Sum of 23 tenths and 512 hundredths is 2.3 + 5.12 = 7.42
    Now, 65.27 ÷ 7.42 = 8.7965

  • Question 20
    1 / -0
    Which of the following options is correct?
    Solution
    1.3764 > 1.3782 (Incorrect)
    1.4976 > 1.4997 (Incorrect)
    2.4386 > 2.8349 (Incorrect)
    2.3567 > 2.3372 (Correct)
    Hence, option 4 is the answer.
  • Question 21
    1 / -0
    Bharat takes hour to walk from his home to school. He takes hour to go to his friend's house from his home. How much time will he take to go from school to his home and then to his friend's house?
    Solution
    Time taken to go from school to home + Time taken to go from home to friend's house = Total time taken = +
    By making the denominators same, ()


    hour
  • Question 22
    1 / -0
    Saurav packs 39 boxes of sweets for his classmates. Each box weighs kg. Find the weight of 39 boxes.
    Solution
    One box weighs = kg
    Number of boxes = 39

    Total weight = kg × 39 = kg = kg

  • Question 23
    1 / -0
    Rohan and Abhinav together spent Rs. 150 at a movie theater, Abhinav and Feroz spent Rs. 343 together. If Abhinav spent of what Feroz spent, how much did Rohan spend?
    Solution
    We know that Abhinav spent of what Feroz spent.
    Money spent by Abhinav + Feroz = Rs. 343

    Therefore,
    money spent by Feroz + money spent by Feroz = Rs. 343
    money spent by Feroz = Rs. 343
    Money spent by Feroz = Rs. 343 ×
    Money spent by Feroz = Rs. 294
    Money spent by Abhinav = Rs. 343 - Rs. 294 = Rs. 49
    So, money spent by Rohan = Rs. 150 - Rs. 49 = Rs.101
  • Question 24
    1 / -0
    Sachin multiplied 1.325 with 9 and later found out that he needed to multiply 13.25 with 9. What is the difference between the two answers?
    Solution
    If Sachin multiplied 1.325 with 9, (1.325 × 9) = 11.925
    But later he found that he needed to multiply 13.25 with 9, (13.25 × 9) = 119.25
    Difference = 119.25 - 11.925 = 107.325
  • Question 25
    1 / -0
    Harish talked on telephone to two of his best friends. He talked to Simran for hour and to Ananya for hour. How much time did Harish spend on phone?
    Solution
    Total time spent on phone = hour

    By making the denominators same, we get

    and

    Therefore,
    hour
  • Question 26
    1 / -0
    Evaluate .
    Solution


    =

    =

    =

    = 8.75
  • Question 27
    1 / -0
    What value will replace the question mark (?) in the given series?

    45.9 - 45.8 + 45.7 - 45.6 + 45.5 - 45.4 + 45.3 - 45.2 + 45.1 - 45 + 44.9 - 44.8 + 44.7 - 44.6 = ?
    Solution
    45.9 - 45.8 + 45.7 - 45.6 + 45.5 - 45.4 + 45.3 - 45.2 + 45.1 - 45 + 44.9 - 44.8 + 44.7 - 44.6
    = (45.9 - 45.8) + (45.7 - 45.6) + (45.5 - 45.4) + (45.3 - 45.2) + (45.1 - 45) + (44.9 - 44.8) + (44.7 - 44.6)
    = (0.1) + (0.1) + (0.1) + (0.1) + (0.1) + (0.1) + (0.1)
    = 0.7
  • Question 28
    1 / -0
    Find the values of L, M, N and O respectively. (All smaller parts are equal in size)

    Solution
    From the figure given above, we can see

    L = 1 + 1 + = 2 + =

    In decimal form, M = = 2.375

    N = 1 + =

    In decimal form, O = = 1.625
  • Question 29
    1 / -0
    Find the value of B x C - A.

    (i) 343.68 + A = 359.48
    (ii) 23.62 + 4.9 = B
    (iii) 14.49 - C = 4.43
    Solution
    (i) A = 359.48 - 343.68 = 15.8
    (ii) B = 23.62 + 4.9 = 28.52
    (iii) C = 14.49 - 4.43 = 10.06

    B x C - A = 28.52 x 10.06 - 15.8 = 271.1112
  • Question 30
    1 / -0
    Which of the statements is incorrect?
    Solution
    1. and are equivalent fractions = (Correct)

    2. 30 minutes is half an hour (Correct)

    3.



    So, 2 is not equal to half which is incorrect.

    4. 1 cm is 10 mm (Correct)
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