MTAP Math Challenge 2013-2014 Grade 7 Questions 11-20

11. What number is exactly midway between 3/2 and -9?

12. What price of a pencil is pesos and a notebook costs PhP12 more than a pencil. How much do 3 pencils and 2 notebooks cost?

13. Compute: 


14. Subtract (2a-4b+9c) from the sum of (3a+5b-3c) and (a-b+7c).

15. If x is twice as far from 5 as it is from -7, what are the possible values for x?

16. What must be added to the product of 3x+1 and 2x-5 to obtain 4x2-5x-6
?

17. Let A be the set of all positive even integers less than 10, B the set of all prime numbers less than 10, and C the set of all one-digit numbers which are NOT multiple of 3. Find \ ( )
.

18. In a triangle, the second angle is twice the first angle and the third angle is 12º less than 5 times the first angle. What is the measure of the largest angle?

19. Let the universal set U be the set of positive integers less than 20, A the set of odd integers, B the set of perfect squares and C the set of multiples of 3. Determine \ ( ∩ )′.

20. In a class of 35 students, 10 speak Ilokano, 18 speak Bicolano, 16 speak Cebuano, 5 speak Both Bicolano and Ilokano, 2 speak both Ilokano and Cebuano, 9 speak Both Bicolano and Cebuano, and 2 speak all three languages. How many students do not speak any of the three languages?

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