K-Math MOC(Massive Online Course) Grade 7

The main objective of K-Math MOC Grade 7 is helping students master K-Math Grade 7 book designed for reinforcement of specific math skill and understanding key math concept.
K-Math MOC Grade 7 includes wide range of topics and key math concepts so that students can extend their understanding of math concept into the complex one by themselves.
K-Math MOC Grade 7 also includes useful math teaching skills and experience for math teachers and parents.
K-Math MOC Grade 7 naturally leads students to finding various solutions for many math problems.

Please visit our website to find more information about K-Math MOC Grade 7.

K-Math Practice Test for Grade 8

K-Math Grade 8 is a Korean mathematics workbook in English for grade 8 students. The level of K-Math Grade 8 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.

1. The diagram shows how subsets of the set of real numbers are related. Which of the following sets could be represented by the Venn diagram below?

A. ⓐ 1     ⓑ 2/3     B. ⓐ -1/9  ⓑ 0.0014

C. ⓐ 0.27  ⓑ -6     D. ⓐ -0.98 ⓑ 5

E. ⓐ -1    ⓑ 0

2. Find the 100th decimal place value in the decimal equivalent of 60/210.

A. 1      B. 2      C. 4      D. 5      E. 7

3. Find the missing exponential expression to complete the equation x⁴÷ 3x²y²× □ = x²y²

A. x²y⁴      B. 3x²         C. 3y⁴         

D. 3x²y²       E. 3x²y⁴

4. The equation S=1/2(a+b)h gives the area of a trapezoid. Solve this equation for variable h.

A. h=1/2(a+b)S       B. a=2S/h -b      C. h=2S/(a+b)

D. h=2S/a +b          E. h=2S/b +a

5. If the solution of the system of equations x-y=7 and 2x+y=p is (4,q), evaluate the expression p+q.

6. 3 more than 5 times a certain number is at least 5 more than 3 times the certain number. What is the least integer of the certain numbers?

7. If three ordered pairs (-1,-1), (1,3), (4,k) are on a line, what is the value of k?

A. 5      B. -5     C. 7      D. -7      E. 9

8. Suppose there are 3 red balls and 2 blue balls in a bag. If a student picks out two balls, what is the possibility that the first ball is red and the second ball is blue?

A. 3/10          B. 7/10          C.3/25          D. 6/25          E. 17/20

9. If line segment AB = line segment AC, line segment DA = line segment DB and ∠BAC=40°, what is the measure of ∠DBC?

A. 28°    B. 30°    C. 32°    D. 34°    E. 36°

10. △ABC is similar to △DEF. The scale factor is 2:3. Which of the following statements is not true?

A. ∠E=60°    B. line segment BC: line segment EF =2:3

C. ∠A=∠D   D. line segment DF=9cm          E. ∠C:∠F=2:3

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㎤