Math Olympiad Questions with solutions : Decimals    Class 6

1.A boy weighs 56.74 kg. If his father is 1.5 times heavier than his son, then the weight of the father is_____ .
(A) 85 kg                       (B) 85.11kg                        (C) 85.20 kg                          (D) 85.15 kg

2.If 0.111 is approximately equal to -,then the approximate value of 0.777 is________________ . 3.Arrange the following decimal numbers in ascending order.
5.5, 0.55, 0.055, 0.005
(A) 5.5, 0.055, 0.005, 0.55                  (B) 0.55, 0.005, 0.055, 5.5
(C) 5.5, 0.55, 0.055, 0.005                  (D) 0.005, 0.055, 0.55, 5.5

4.Which of the following expressions is correct ?
(A) 0.6 < 0.06                            (B) 0.66 =5/9                              (C)  455 >11/25                       (D) 1/6 >0.17

5.  2+1/100+3/1000___________

(A) 0.213                                    (B) 2.13                                         (C) 2.013                                  (D) 2.130

6. 8/10+0+7/1000=____________

(A) 0.087                                    (B) 807                                         (C) 0.807                                      (D) 0.807

7.An ant went 4 m 26 cm up a tree, then it came 2 m 30 cm down.The distance travelled by the ant is______.
(A) 1 m 50 cm                (B) 1 m 60 cm              (C) 1 m 96 cm                 (D) 2 m

8.Sid travelled 5 km 52 m by bus, 2 km 265 m by car and the rest 1 km 30 m he walked. Total distance travelled by him is_____.
(A) 8.347 km                    (B) 8.000 km              (C) 8.925 km                  (D) 9.000 km

9. A 8 m 57 cm pole was put in a pond to measure its depth. If 4 m 66 cm of pole remained outside water, then the depth of pond is________.

(A) 3.91 m                            (B) 3.00 m                   (C) 3.45 m                        (D) 3.23 m

10. The smallest possible decimal fraction upto three decimal places is

(A) 0.101                             (B) 0.111                        (C) 0.001                    (D) 0.011

11. 3 hundredths can be written as______________.
(A) 0.003                             (B) 0.03                        (C) 0.300                      (D) 300

12.The product of 3.92 x 0.1 x o.0 x 6.3 is___________.
(A) 0.392                           (B) 0.1176                      (C) 0                                (D) 6.3 14.Which of the following fractions is equal to 0.67?
(A) 1/3                                  (B) 2/3                               (C) 3/4                        (D) 3/5

15. Which number is equal to (0.1/0.01+0.01/0.1) ?

(A) 10.1                                (B) 1.10                              (C) 1.01                        (D) 10.01

16.The sum of two numbers is 31.021. If one of them is 11.56, then the other number is______.
(A) 19.461                           (B) 17.461                          (C) 18.641                  (D) 19.561

17.The cost of 1 litre of milk is Rs. 7.50, then the cost of 30.5 litres of milk is____________.
(A) Rs. 225.75                      (B) Rs. 223.75                   (C) Rs. 228.75        (D) Rs. 227.89

18.Expression of 0.23 in terms of vulgar fraction is _____.

(A) 7/30                                    (B) 23/100                      (C) 23/90                (D) 7/90

19.The ratio of copper and zinc in an alloy is 9 : 5. If the weight of zinc in the alloy is 9.5 gm, then weight of copper in it is______.
(A) 17.2gm                          (B) 17.1 gm                          (C) 17.5gm                   (D) 17.4gm

20.In 14.135, the digit 5 is in the_____place.
(A) tenths                            (B) hundreds                     (C) thousandths         (D) thousands

21.The fractional number corresponding to the following number “9 tens + 5 ones + 3 tenths + 7 hundredths”is________ .

(A) 9437/100                  (B) 9537/100                        (C) 9000/100           (D) 9637/100

22. The decimal form of 5 (3/8) is ____________

(A) 5.375                            (B) 5.000                              (C) 5.255                      (D) 2.325
23.What is the following number in standard form ?
2 + (8 x 0.1) + (6 x 0.01) + (4 x 0.001)
(A) 0.2864                        (B) 2.864                               (C) 28.64                        (D) 2864

24.Prem went to a craft fair where he spent a total of Rs. 16.00. He spent Rs. 6.00 on admission and went to 8 tables. He spent the same amount of money (m) at each table. The following expression can be used to find how much money he spent at each table.
16 = 6 + 8 m
How much money did Prem spend at each table ?
(A) Rs. 0.50                     (B) Rs. 0.80                             (C) Rs. 1.25               (D) Rs. 2.00

25. Rahul bought 4 kg 90 g of apples, 2 kg 60 g of grapes and 5 kg 300 g of mangoes. The total weight of all the fruits he bought is_______ .
(A) 11.000 kg                    (B) 11.450 kg                          (C) 11.350 kg              (D) 11.250 kg

26.What is the decimal fraction shown by the shaded part of the figure given below ? 27.Abhishek had Rs. 7.45. He bought toffees for Rs.5.30. The balance amount left with Abhishek is_______.
(A) Rs. 2.30                        (B) Rs. 2.00                            (C) Rs. 2.15                (D) Rs. 3.00 29.The correct expanded form for 2.06 is_________. 30.A man covers a journey by car in 3 hours. He covers a distance of 64 km 324 m during the first hour, 58 km 56 m during the second hour and 62 km 8 m during the third hour. What is the length of his journey?
(A) 184 km 388 m                                   (B) 184 km 380 m
(C) 184 km 308 m                                  (D) 184 km 3088 m 