Korean Mathematics sample test for grade 6

1. Choose the quotient and remainder of the following expression:
    138÷12

     quotient remainder
①    10            6
②    10          18
③    11            6
④    11          18
⑤    12            6


2. Which one is the perpendicular line of Line D?

① line A ② line B ③ line C ④ line E ⑤ line F



3. The table below shows the ☆ and ⊙ of various numbers.
   Look for the rule between ☆ and ⊙.

☆	3	4	5	6	7	8
⊙	21	28	35	42	49	56

① ☆ + 18 = ⊙   ② ☆ - 18 = ⊙   ③ ☆ + 24 = ⊙   ④ ☆ × 7 = ⊙   ⑤ ☆ ÷ 7 = ⊙


4. Which two figures are not congruent?

5. Which expression has the same result, regardless of their grouping?

① 32÷(4×2)    ② (45-9)×4 ③ (54+6)÷3

④ 80÷(8-4)     ⑤ 71+(6×5)

6. Minji is going to draw graphs for two tables below. Which type of graphs are the most appropriate?

the change of Minji's height

Grade	Grade1	Grade2	Grade3	Grade4	Grade5	Grade6
Height	126.3cm	131.5cm	136.7cm	140.5cm	143.5cm	150.3cm

the record of the board jump of Minji's classmates

Name	Minji	Jinsu	Sunghee	Gwangho	Subin	Hyunsu
Record	141cm	174cm	135cm	189cm	152cm	150cm

the change of Minji's height      the record of the board jump of Minji's classmates
① line graph                                        bar graph
② pictograph                                       line graph
③ band graph                                     pictograph
④ line graph                                        band graph
⑤ bar graph                                        band graph


7. Rectangle shown below has 6cm length. When you turn it once with a pattern that looked like the picture, moving distance is 32cm. What is the width of this rectangle?

① 8cm ② 10cm ③ 16cm  ④ 20cm  ⑤ 26cm


[8-9] Yeonseo made a mobile looked like a picture. Look at the picture and answer the following questions.

[preparation materials]
drawing paper, wire and thread with the same thickness and scissors
[how to make]
Draw several figures on the paper and cut them out of it.
Using wire and thread, you should place to make the figures balance.
[Additional Information]
Figures having the same area have the same weight.

8. Which figures does Yeonseo need if she placed figure A on the left side of the mobile to make it balance?

① figure  B, D        ② figure C, E          ③  figure B, D, E

④ figure C, D, F    ⑤ figure B, C, E, F

9. Choose the correct explanations about figures made by Yeonseo.

① Figure A and B have 4 equal sides.

② Figure A, B and F have 4 equal angles.

③ Figure B, C, D and F have the same length of diagonal.

④ Two diagonals of figure D, E and F meet at right angles.

⑤ A diagonal of figure C and E divides the other diagonal into two equal parts.

10. A survey is conducted to find out which places 40 members of Jinwoo's class want to go to visit. The results are shown in bars in the graph below. Choose the proper band graph shows the same results.

This sample test will be an interesting challenge for not Korean students. If you comment the answer, I will reply.