Yusuf Sila: 2011 Gauss Contest Grade 7

2011 Gauss Contest Grade 7 - Part B

9:37 PM

Muhammad Yusuf , Posted in Math Competitions , 0 Comments

1. In the diagram, the value of x is

(A) 15

(B) 20

(C) 22

(D) 18

(E) 36

2. A square has a perimeter of 28 cm. The area of the square, in cm², is

(A) 196 (B) 784 (C) 64 (D) 49 (E) 56

3. Five children had dinner. Chris ate more than Max. Brandon ate less than Kayla. Kayla ate less than Max but more than Tanya. Which child ate the second most?

(A) Brandon (B) Chris (C) Kayla (D) Max (E) Tanya

4. A palindrome is a positive integer that is the same when read forwards or backwards. For example, 545 and 1331 are both palindromes. The difference between the smallest three-digit palindrome and the largest three-digit palindrome is

(A) 909 (B) 898 (C) 888 (D) 979 (E) 878

5. A ski lift carries a skier at a rate of 12 km per hour. How many kilometres does the ski lift carry the skier in 10 minutes?

(A) 120 (B) 1:2 (C) 2 (D) 2:4 (E) 1:67

6. A 51 cm rod is built from 5 cm rods and 2 cm rods. All of the 5 cm rods must come first, and are followed by the 2 cm rods. For example, the rod could be made from seven 5 cm rods followed by eight 2 cm rods. How many ways are there to build the 51 cm rod?

(A) 5 (B) 6 (C) 7 (D) 8 (E) 9

7. In Braydon's cafeteria, the meats available are beef and chicken. The fruits available are apple, pear and banana. Braydon is randomly given a lunch with one meat and one fruit. What is the probability that the lunch will include a banana?

(A) 1/3 (B) 2/3 (C) 1/2 (D) 1/5 (E) 3/5

8. Three pumpkins are weighed two at a time in all possible ways. The weights of the pairs of pumpkins are 12 kg, 13 kg and 15 kg. How much does the lightest pumpkin weigh?

(A) 4 kg (B) 5 kg (C) 6 kg (D) 7 kg (E) 8 kg

9. The sum of four numbers is T. Suppose that each of the four numbers is now increased by 1. These four new numbers are added together and then the sum is tripled. What is the value of this final result?