K-Math Practice Test for Grade 7

K-Math Grade 7 is a Korean mathematics workbook in English for grade 7 students. The level of K-Math Grade 7 is equivalent to the advanced level of American mathematics. It will be the best choice to prepare for SAT Reasoning Test and SAT Subject Test. Experience the sample practice test of K-Math and compare with the assessment test in your location.

------------Grade 7

1. We are going to multiply 540 by the smallest whole number to make a square number. What is the whole number?

A. 3   B. 6   C. 10  D. 15 E. 30

2. Which of the following statements is not true?

A. The greatest common factor of 12 and 18: 6

B. The greatest common factor of 12, 36, 84: 12

C. The greatest common factor of 24, 42, 72: 24

D. The greatest common factor of 2²× 3², 2 × 3²× 5²: 18

E. The greatest common factor of 2 × 3³× 7², 2²× 3 × 5 : 6

3. Find an expression that describes the following situation wrongly.

A. The deposit in my bank account will decrease 5% every year.

B. The crops will not grow at elevations above 5300m.

C. The temperature rises 19°C during the day.

D. A drop 5.03% in the price of a movie ticket

E. A submarine travels at a depth 216.8m.

A. -5%    B. +5300m    C. -19℃    D. -5.03%    E. -216.8m

4. Which of the following expressions has the same value as 5-(-8)-5+(-7)?

     A. (+2.8)-(-0.2)-(-2)

     D. (-1)⁴

     E. (-3)³× 2 ×(-5)²

5. Which expression represents the perimeter of an equilateral triangle with side length x centimeter.

A. 3x centimeter      B. x³centimeter       C.  2x centimeter     D. x²centimeter   E. 3x³centimeter

6. Simplify a(x-2) - (bx+3) and evaluate the expression ab-b²if the coefficient of variable x is -1 and the constant is 1.

7. Kim is going to read a book for 5 days by reading 2 more pages than the previous day. How many pages does he have to read on the first day if the book has 225 pages?

A. 39pages   B. 41pages    C. 43pages    D. 45pages   E. 47pages

8. In which quadrant is the point (-x,y) if xy>0, x+y<0?

A. Ⅰ  B. Ⅱ  C. Ⅲ  D. Ⅳ  E. the origin

9. What is the value of variable b if the mean of frequency distribution below is 7?

Value	2	4	6	8	10
Frequency	2	2	b	6	5

A. 2   B. 3   C. 4   D. 5   E. 6

10. The diagram shown below is the net of a cylinder. What is the volume of the cylinder if the radius is r?

A.108π㎤      B. 36π㎤       C. 125π㎤     D. 144π㎤     E. 147π㎤