This is the 2017 MTAP Grade 7 Math Challenge questions Sectoral Level. Questions in the previous years can be accessed on the Past Tests page and all questions can be found in the All Posts page

Easy

1.) The following scores are in ascending order: 10; 12; 16; 19; 20 and 22. Find the median.

2.) Convert 250 cm² to m² in fraction form.

3.) Compute: $6 \times \dfrac{-3 + 12}{-2 - 8}$.

4.) Twice the measure of angle A plus 30° is equal to its complement. Find the measure of angle A.

5.) What integer is closest to $\sqrt{450}?$

6.) Convert 122° F into degrees Celsius.

7.) Among all rectangles with integral sides whose area is 100 m², what is the largest perimeter?

8.) The measure of angle AOB is equal to 120° and the measure of angle AOC is equal to 40°. What the the possible measures of angle COD?

9.) Solve the equation: |3x – 1| = 5.

10.) The length of a rectangle garden is 4 m longer than the width. If the perimeter is 52m, what is the area?

Average

1.) In a class of 50 students, 17 read Noli Me Tangere, 13 watched its play, and 10 watched its TV series. Also, 8 both read the local and watch the play, 4 watch the play and the TV series, and 6 read the novel and watched the TV series. Nobody did all three. How many students had not done any of the three activities?

2.) How much greater is $5x^3 - x^2 + \dfrac{7}{2}$ than $\dfrac{3}{2}x^3 + 7x - 5?$

3.) How many grams, to the nearest integer, is 20 pounds?

4.) Jinky drove a distance of $x^3y^2$ kilometers from $xy^3z^2$ hours. What is her average speed?

5.) Vangie’s average score in four exams is 87. If her teacher decides to count the fourth exam double, and Vangie’s score in that exam is 97, what will Vangie’s new average be?

Difficult

1.) If $\dfrac{x}{5} = \dfrac{y}{3} = \dfrac{z}{6}$ and xyz = 2340, find x + y + z.

2.) The volume of a box is $6x^3 - 17x^2 - 43x + 120.$ If its lengths is 2x – 5 and its width is x – 3, find its height.

3.) In rectangle PQRS, points M and N are midpoints of PQ and QR respectively. If the area of triangle MNS is 63, find the area of triangle NSR.

4.) Estimate $\sqrt{97}$to the nearest hundredths.

5.) The denominator of a rational number is 7 more than its numerator. If 16 is added to the numerator and 15 is subtracted from the denominator, the result is 5/2. What is the rational number?

Easy

1.) 17.5
2.) 1/40
3.) -35
4.) 20°
5.) 21
6.)50°C
7.) 202 m
8.) 80°, 160°
9.) -4/3, 2
10.) 165 m²

Average
1.) 28
2.) $\dfrac{7}{2}x^3 - x^2 - 7x + \dfrac{17}{2}$
3.) 4909
4.) $\dfrac{x^2}{yz^2}$ kph
5.) 89

Difficult
1.) 42
2.) 3x + 8
3.) 42 sq. units
4.) 9.85
5.)