# CREST Mathematics Challenge Class 8 Sample Papers

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## Syllabus:

The questions will be of three levels: Basic, Intermediate and Advanced from the following topics: Rational Numbers, Squares and Square Roots, Cubes and Cube Roots, Exponents and Powers, Comparing Quantities, Algebraic Expressions and Identities, Linear Equations in One Variable, Understanding Quadrilaterals, Constructions, Mensuration, Visualizing Solid Shapes, Data Handling, Direct and Inverse Variations, Factorization, Introduction to Graphs, Playing with Numbers.

 Q.1 Set S contains points whose abscissa and ordinate are both natural numbers. Point P, an element in set S has the property that the sum of the distances from point P to the point (3,0) and the point (0,5) is the lowest among all elements in set S. What is the sum of abscissa and ordinate of point P?
 Q.2 A group of people decided to plant 128 trees in a certain number of days. For the first 4 days, they were able to achieve their planned per day target. However, for the remaining days, the group was able to plant 4 more trees daily than planned. In this way, the group had plant 164 trees one day before the planned finish date. What was the number of trees the group was planning to plant per day?
 Q.3 Kiara left the hospital and drove toward the lake at an average speed of 45 km/h. Henry left four hours later and drove in the opposite direction with an average speed of 80 km/h. Find the number of hours Henry needs to drive before they are 430 km apart.
 Q.4 Jet Airline has a free luggage allowance for its passengers. If any passenger carries excess luggage, it is charged at a constant rate per kg. The total luggage charge paid by Ravi and Prashanth is Rs. 1100. If both Ravi and Prashanth had carried luggage twice the weight than they actually did, their luggage charges would have been Rs. 2000 and Rs. 1000 respectively. What was the charge levied on Ravi’s luggage?
 Q.5 You are an Architect. Your client wants a room twice as long as it is wide. They also want a 3m wide backyard along the long side. Your client has 56 square meters of beautiful marble tiles to cover the whole area. What should the length of the room be?
 Q.6 Diagonals of which of the following quadrilaterals do not bisect it into two congruent triangles?
 Q.7 The Coffee Heaven Gourmet Shop sells two house blends of Brazilian and Columbian coffee beans. Each pound of Blend I contains 0.6 lbs. Brazilian and 0.4 lbs. Columbian beans, while each pound of Blend II contains 0.2 lbs. Brazilian and 0.8 lbs. Columbian. If the store wants to use up 40 lbs. Brazilian and 50 lbs. Columbian beans, how much of each blend should they make?
 Q.8 John wants to meet his friend, he always walks to his friend's house, which is eight blocks north and five blocks west of his house. How many different routes can he take if he always walks either north or west?
 Q.9 10 workers can finish a project in 18 days. 2 workers are unable to turn up for the project. If the rest work at the same rate, find the number of days the project can be completed.
 Q.10 A floral-designed table marked at ₹15,000 is available for ₹14,400. Find the discount given and the discount per cent:

Sample PDF of CREST Mathematics Challenge for Class 8: