# CREST Mathematics Challenge Class 6 Sample Papers

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## Syllabus:

The questions will be of three levels: Basic, Intermediate and Advanced from the following topics: Knowing Our Numbers, Whole Numbers, Playing with Numbers, Basic Geometrical Ideas, Understanding Elementary Shapes, Integers, Fractions, Decimals, Data Handling, Mensuration, Algebra, Ratio And Proportion, Symmetry, Practical Geometry.

 Q.1 Study the figure given.If angle P = 60⁰, RT || QP and angles TRS = 65⁰Then angle PRQ is
 Q.2 10% of plants in a garden are pink rose plants, 30% are red rose plants, 40% are white rose plants and the remaining are Jasmine plants. If there are 400 plants in the garden, how many jasmine plants are there in the garden?
 Q.3 Jackie invested money in two different accounts, one of which earned 12% interest per year and another that earned 15% interest per year. The amount invested at 15% was \$100 more than twice the amount at 12%. How much was invested at 12% if the total annual interest earned was \$855?
 Q.4 Three friends A, B and C play a game in a resort. The rules are simple. Whenever there is a contest between any two of them, the one who has a higher percentage grape juice should pour 200 ml of his orange juice into the one having lower percentage grape juice. The game starts as a contest between A and B, then B and C and then C and A. Post this, the game continues in the same cycle on and on. If a player has emptied all his grape juice, then the remaining two play the game with the same rules. If two players have the grape juice of the same percentage level, the younger one pours 200 ml of his grape juice into the elder one’s glass. All three of them start the game with 600 ml of orange juice. A’s orange juice has 60% grape juice, B’s has 48% grape juice and C’s has 50% grape juice. They take 3 minutes to play one round of this game. D, a fourth friend leaves the pub immediately after the game begins, returns after an hour and drinks orange juice from the person who has the highest grape juice percentage. What is the concentration of the grape juice that D had?
 Q.5 Alison, Beatrice and Chloe each had some books. Alison gave Beatrice and Chloe some books that doubled the number of books they had at first. Beatrice then gave some books to Alison and Beatrice some books that doubled the number of books they had. Each of them had 32 books at the end. How many books did each of them have at first?
 Q.6 The rectangle shown has side lengths of 8 and 4. What is the area of the shaded region?
 Q.7 The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. Each of three colored vessels red, blue, green contains 500 ml of salt solution of strengths 10%, 22%, and 32%, respectively. Now, 100 ml of the solution in vessel red is transferred to vessel blue. Then, 100 ml of the solution in vessel blue is transferred to vessel green. Finally, 100 ml of the solution in vessel green is transferred to vessel red. The strength, in percentage, of the resulting solution in vessel red is
 Q.8 In a Badminton tournament, there are 43 junior and 51 senior-level participants. Each pair of juniors play one match. Each pair of seniors play one match. There is no junior versus senior match. The number of girl versus girl matches in junior level is 153, while the number of boy versus boy matches in senior-level is 276. The number of matches a boy plays against a girl is:
 Q.9 A wire is bent into a figure consisting of 3 identical semicircles. Find the length of the wire. (Take π = 3.14)
 Q.10 The value of 'e' - g _____________

Sample PDF of CREST Mathematics Challenge for Class 6: