# 2004 Grade 7 Math Challenge – Elimination Round Part II

Below are the 2004 MTAP Grade7 Math Challenge Elimination Round Part II questions. Solutions will be posted later. More reviewers can be found on the Past Tests and All Posts pages.

Instruction: Solve each item on scratch paper. Give equations of lines in the form $ax + by + c = 0$.

26.) How many degrees is the smaller angle between the hands of a clock at 4:40?

27.) A dress marked at P250 was bought for 212:50; what was the rate of discount?

28.) At the rate of 4 items for P125, how much will 10 items cost?

29.) If 10 liters of paint can cover 150 m2; how many liters of paint will be needed for a fence 80m long and 3 m high?

30.) A box to be used for a raffle, 6 dm by 4 cm by 5 dm, is to be covered completely with colored paper. What area is to be covered?

31.) Express $2.\bar{345}$ as a ratio of two integers.

32.) If x = 2, y = -1 and z = 3, find the value of $\dfrac{4x^2zy}{x - z}$.

33.) If $x = \dfrac{1}{2}$, what is the value of $x^2 - 5x + 3$?

34.) Multiply: $(3x - y)(2x^2 - 3xy + 3y^2)$

35.) Simplify: $3y^2 - 5y - 2(1 - y + y^2)$

36.) What can you add to $2x^3 - 4x^2 + 5x + 8$ to get $5x^3 + 3x^2 + 2x - 5$
?

37.) What can be subtracted from $4x^3 + 7x^2 - 3x - 4$ to get $5x^3 + 3x^2 + 5x + 5$?

38.) Divide $2x^4 + 5x^3y - x^2y^2 + 2xy^3 + 12y^4$ by $2x + 3y.$

39.) If $(3, y)$ is on the line $3x - 4y = 10$, what is $y?$

40.) What is the range of $y = |2x - 5| - 3?$

41.) Write the equation of the line passing through A(-2, 5) and B(4, 1).

42.) Find the solution set of $\dfrac{3x - 1}{4} < \dfrac{2x + 5}{3}.$

43.) If A(4, 5) and B(0, 1) are the vertices of an isosceles triangle, what are the coordinates of C if BC is the base?

44.) If $3x - 3y = 6$ is parallel to $9y = bx + 12$, what is b?

45.) Write an equation of the line if the x and y-intercepts are 2 and -3 respectively.

46.) Write an equation of the line passing through P(-2; 5) and parallel to $3x - 4y + 5 = 0.$

47.) The sum of the digits of a 2-digit number is 9. If the digits are reversed, the new number is9 less than the original number. Find the original number.

48.) If $-4 \leq x \leq 8$ and $-1 \leq y \leq 4$, what is the largest possible value of $x^2 - y^2?$

49.) Find the cost of the paper for the walls of a room, 5 m long, 4 m wide and 3 m high, allowing 7 meter squared for doors, windows, etc. if the paper costs P40 per square meter.

50.) 35 kg of tea costing P480 per kg is mixed with 45 kg of tea costing P660 per kg. At what price per kg, to the nearest peso, must the tea be sold so that there is a gain of 25%?

View Part I here: 2004 Grade 7 Math Challenge – Elimination Round Part I

This entry was posted in Grade 7-8 and tagged , , , . Bookmark the permalink.