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44.
2013 MATH Olympiad [Grade1]
45. ① 4=1+3 , ② 6=1+5 , ④ 9=1+3+5【Sol】46.31. 12+5+4=21
31. 12×60=72032. 32÷2=1633. 340÷4=8534. 800÷50=1635. 435÷46=9R21 ⇒ 936. × ×× 45. One sheep has the the same weight as 337. Megan : 1hour 45minutes 50seconds rabbits. One rabbit has the same weight as
= 105minutes 50seconds = 6,350seconds 2 squirrels. So, one sheep has the sameZack : 160minutes = 9,600seconds weight as 6 squirrels.
38. ÷ 46. Use a table to find the answer.39. ⇨ × ×
41.
Therefore, = 9 , = 5AC
48. B-A=C-B, A+C=B×2, B-A=2,C-B=2,
49.(1) + + + = 18 → + = 9
∴ Rick is drinking cola. (2) + + ( + ) = 17→ + = 8 → = 4
43. Since 1×8=2×4, the number in shaded blank (3) + =9 → = 5is 3. (4) ( + ) + + =16 → = 2
48. First, we find the values that belong in theblank spaces from 1st row to 4th row.Next, we find the values that belong in theblank spaces from 4th row to 7th row.
120
1
Therefore, A=1, B=2, C=120
49. ÷
50.
The Possible scores : 3, 5, 7, 9, 11, 13, 15The number of Possible scores : 7
3 1 2 52 1 3
1 23
6 203
12 10
2 5
Number of arrows that could hit each ring
1points 3 2 2 1 1 1 0 0 0 0
3points 0 1 0 2 1 0 3 2 1 0
5points 0 0 1 0 1 2 0 1 2 3
Total score 3 5 7 7 9 11 9 11 13 15
2013 MATH Olympiad [Grade 6]
38.
÷
【Sol】29. (7 + □) × 10 ÷ 2 = 110
(7 + □) × 10 = 220 39. Standard amount: 300, comparing amount: 75(7 + □) = 22, The value of the ratio
□ = 1540. width : length30.
A × ÷ m
B × ÷ m 41. ones place is 1 → 31
ones place is 2 → 62 ⇒ 31, 62, 93C × ÷ m
ones place is 3 → 93A B C m
31. ÷ × ÷×42. using the pattern, there are 36 dots in
× ×
32. ×□
□ ÷
33.
34. ⇨ Greatest common factor +5 +5 +5 +5 +5 +5 ×
43.The number of students is 6. If the value of A is 1, If the value of A is 2,
35. Sam : 16=2×2×2×2 ⇒ seat No. 2
James : 27=3×3×3 ⇒ seat No. 3
Heather : 24=2×2×2×3 ⇒ seat No. 6 36.
(No) (Yes)
37.
Therefore, the value of A, B, and C is2, 7, and 10.
40. 49. Pattern of the perimeters.� The width of a tile ;
1st 2nd 3rd 4th … 10th
cm cm cm cm
⇨ ×
� The number of tiles needed to fill the wall The perimeters of 10th figure : 9+6×9=63(cm)horizontally ÷
� The number of tiles needed to fill the wall50.
vertically ÷ 4th 3rd 2nd 1st original� Total number of tiles needed to fill the entire cm cm cm cm cm
wall ×
×
×
×
×
41. Numbers are below340, 342,
Therefore, original height of the ball is 162cm402, 403, 420, 423, 430, 432 (8 number)
42. 1+3+5+ … + 23+25 = 13×13 = 169
43. The number of households which have eithercows or horses is 24+18-10=32.Therefore, 5 households have neither cows norhorses.
44. From (4) , 19 × 4 = 76From (3) , 76 - 13 = 63From (2) , 63 ÷ 7 = 9Therefore, the secret number is 9.
45. A+B=C×2, A+B=C+C ,A+B-C=C, (A+B)÷2=C
1 346.
5 6 651 61 5
1
48. Complete the table.
Number of rabbits 10 20 19 18
Number of sparrows 40 30 31 32
Number of legs 120 140 138 136
Therefore, there are 31 sparrows and 19 rabbits.
2013 MATH Olympiad [Grade8]
30. From … ①【Sol】Since the solutions of the two equations are27. (Area of the 6m radius half circle)quual, substituting ① into - (Area of the 4m radius half circle) - (Area of the 2m radius half circle)
× × ×
∴
× × ×
× × ×
31.
⇒ 6 cm
32.
÷ ÷
L 28. Base area ;
33. × L × ÷ cm
34. ÷ R Lateral area ;
× cm
÷
× Height ; ÷ ÷ cm ×
35. 29. Base area ; ×
× × m
Volumn of cylinder ; ×
÷
÷
] × m
Mass of water ;36. (Helen) : (Susan) = 4 : 3 = 8 : 6 = 12 : 9