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2017 Grade 8 Math Challenge Elimination Round (Questions 26-50) with PDF

This is the 2017 MTAP Grade 8 Math Challenge questions 26 to 30. Questions 1-25 including can be found here. The pdf can be downloaded here. Solutions and answer will be posted later.

26.) Perform the indicated operations and simplify:

\dfrac{2x - 3}{6x} \cdot \dfrac{4}{6x - 9} \div \dfrac{8}{x}

27.) What is the difference between the mean and the median of 2, 3, 3, 4, 6, 7, 8, 15?

28.) The surface area of a cube is 50% more than its volume. Find the total length of the edges of the cube.

29.) What is the slope of the line with y-intercept 6 and x-intercept -4?

30.) If the standard deviation of a set of 20 numbers is 0, what is its range?

31.) A date is randomly chosen from the month of February 2017. What is the probability that the date chosen is a prime number greater than 10?

32.) Solve for x: (x - 3) + 2( x-3) + 3(x-3)+ \cdots + 200(x-3)=1809004Continue reading

2017 Grade 8 Math Challenge Elimination Round (Questions 1-25)

This is the 2017 MTAP Grade 7 Math Challenge questions 1 to 25.Questions 26-30 including the pdf will be posted very soon.

Questions in the previous years can be accessed on the Past Tests page and all questions can be found in the All Posts page.

1.) What is the sum of the reciprocals of all the positive divisors of 8?

2.) Factor completely: 27x^5y^5 + 12x^3y^7.

3.) Expand and simplify: (x+y)^2 - (x - y)^2 +(x+y)(x - y).

4.) If 6x^2 + kx - 8 = 2(3x+1)(x - 4),what is the value of k?

5.) Factor completely:

\dfrac{x^2y^2}{16} - \dfrac{4}{25} .

6.) What is the area of a square whose perimeter is 8x - 36Continue reading

2017 Grade 7 Math Challenge Elimination Round (Questions 26-50)

This is the 2017 MTAP Grade 7 Math Challenge questions 26 to 30. Questions 1-25 including can be found here. The pdf can be downloaded here. Solutions and answer will be posted later.

Questions in the previous years can be accessed on the Past Tests page and all questions can be found in the All Posts page.

26.) What should be the value of a if the value of 3x^2 - ax + 2 is  8 when x = 2?

27.) There are five less spoons than forks in a party. If s represents the number of spoons and f the number of forks, express s in terms of f.

28.) It takes three times as long to finish Task A than it is to finish Task B. If A and B represent the time needed to finish Task A and B, respectively, give an equation relating A and B.

29.) The temperature of coffee decreased from 64^\circ Celsius to 59^\circ Celsius a few minutes after it was poured in a cup. By how many degrees Fahrenheit did the coffee cool?

30.) If 2x - 1 \leq 10, what is the largest integer that x can take?  Continue reading

2017 Grade 7 Math Challenge Elimination Round (Questions 1-25)

This is the 2017 MTAP Grade 7 Math Challenge questions 1 to 25. Questions 26-30 including the pdf  can be found here.

Questions in the previous years can be accessed on the Past Tests page and all questions can be found in the All Posts page.

1.) If A= {1,3,5,7}, B = {3,7,11} and C ={3,11,19}, find A ∩ (BC).

2.) Let A = {a, b, c ,}, B = {a, d, e, } and C = {cx} be the subsets of {a, b, c, d, e, }. Find all possible x so that (A ∪ C) ∩ B has exactly three elements.

3.) Give the fraction form of 2. \overline{16}.

4.) Give the rational number that is midway between \dfrac{3}{4} and \dfrac{7}{8}

5.) Anna walks \frac{32}{7} due west, then turns back and walks 5 \frac{5}{7} km due west. How far is Anna from her starting point?  Continue reading

2018 Grade 4 Math Challenge Questions

Below is the MTAP Math Challenge questions for Grade 4. You may use these questions as your reviewer for future competitions. The answers and solutions will be uploaded soon.

1.) The diameter of the Earth at the equator is 12756 km. What is the place value of the digit 2?

2.) Arrange the following in decreasing order:43367, 43637, 43763, 43376.

3.) Guimaras is one of the tourist destinations in the country and it is known for its sweet mangoes. Below are the weights of four mangoes in kg. Arrange the following weights from lowest to highest: 0.4001, 0.41, 0.401, 0.411

4.) On a certain celebration, a square chocolate cake 40 cm on a side can serve 40 children. How many children can be served by the same square cake, which is 60 cm on a side?

5.) Give a whole number which is neither prime nor composite.  Continue reading