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Answer Key Grade 5 2002 ELIMINATION 1. 80 000 000 2. 1540 3. 3 450 065 4. 1000 5. P 3600 6. 23 7. 12 8. P 38 150 9. 311 (no formula = 53, 59, 61, 67, 71) 10. 7 11. 10 12. 210 n (n + 1) 2 13. 12 14. 18 15. 270 16. 780 17. 4/11 18. 2/3 7 19. 9 20
20. 8
13 15
3
1
2
7
21. or 1 22. 23.
22 15
or 1
72 13
24. P138 25. 1.6 oC 26. 300 27. 28. 29. 30. 31. 32. 33.
31 200
220% 40 52% 135 42 50
210.50 + 7.37 = P 217.87 36. 9 37. 450 dm 38. 2826 m2 39. 1384 m 40. 60o x = unknown angle 90 – x = its complement angle = twice its complement x = 2 (90 – x) x = 180 –2x 3x = 180 x = 60 41. 166 dm2 7 4 5
4 7
5
Faces Top Bottom Front Back Left Right
Area 7 x 4 = 28 7 x 4 = 28 7 x 5 = 35 7 x 5 = 35 5 x 4 = 20 5 x 4 = 20
Total 166 dm 2 7 15
42. 140 dm3 43. 23 cm 44. 75.36 m 45. 76o 46. 95o x = unknown angle 180 –x = its supplement angle = 10 more than its supplement x = 10 + (180 – x) 2x = 190 x = 95o 47. 120o 8 hrs = _x__
Answer Key Grade 5 2003 ELIMINATION 1. 70 000 36 2. 64
3. 21,600 4. 369,000 5. 6282 6. 12 7. 360 17 8. 13 24
9. 48 10. 7
7 20
11. 15 12. P 15.75 13. 71, 73, 79 14. 5 (2, 3, 4, 6, 12) 15. 20 cm 16. P 7,500 17. 63 18. 200 hectare = 100 m x 100 m = .1 km x .1 km = .01 km2 2km 2 = 200 .01 km2 19. 8 dm 20. 10 Angles ( EOD, DOC, COB, BOA, EOC,EOB, EOA, DOB, DOA, COA) 21. P 12.00 22. 486 cm3 81 x 6 = 486 23. 88m 24. 7 25. 63580 26. 990 27. 17 28. 12 29. 43 30. 5 31. 3 32. 3
38. 4056 39. P 21 D + B = 75 D = 75 - B D/2 + B = 48 75 - B + B = 48 2 75 – B + 2B = 48 2 75 + B = 96 B = 21 40. 180 – 78 = 102o 41. P 12.50 42. 56o 43. 27 cm
44. 4 cows C + H = 35 C = 35 H 4C + 2H = 78 4(35-H) + 2H = 78 140 – 4H + 2H = 78 140 – 2H = 78 140 – 78 –2H = 0 62 – 2H = 0 62 = 2H 31 = H So substituting: C = 35 – H C = 35 – 31 C=4
45. 330m 46. 2,900m2 47. 150L 48. P 150 49. 14%
Answer Key Grade 5 MTAP 2004 Elimination 1. hundred thousand 2. 5 x 10 3 or 5000 3. 6282 4. 5 5. 3 (83, 89, 97) – no formula 6. 480,000 7. 23,000 8. 1000 9. 9 10. 23 x 33 x 5 x 7 x 11 11. 100,122,345 12. 5175 13. 23 x 32 x 5 x 7 14. 300 15. 30 16. 35 % 17. 860 18. 24 x 33 x 5 or 2160 19. 5/7 20. 103/12 21. 9 5/14 22. P 350 23. 10 g 24. 4, 12 25. 157 x = smaller page no. x + 1 = bigger page no. x + (x + 1) = 313 2x = 312 x = 156 x + 1 = 157 26. 15 27. 238 28. P 180 29. 37.5 90 / 240 x 100% = 37.5% 30. 8 31. 25 no. = odd prime + even prime no. = odd prime + 2 25 = 23 + 2 32. 70 33. 128 m 34. 672 m 2 35. 12 Total man-days = 8 men x 6 days = 48 man-days Total men = Total man-days Total days = 48 man- days 4 days = 12 men
Faces Top Bottom Front Back Left Right
Area 5 x 3.5 = 17.5 5 x 3.5 = 17.5 5 x 7 = 35 5 x 7 = 35 3.5 x 7 = 24.5 3.5 x 7 = 24.5 154 dm2
Total
38. 80 39. 76o X
52 o
52 o x = vertex angle x + 52 + 52 = 180 x + 104 = 180 x = 76 o
40. 1.5 m3 41. 420 m 42. 1860 m 43. 85 3x = 1st no. 5x = 2nd no. (bigger no.) so. 5x = 5 x 17 = 85 5x – 3x = 34 2x = 34 x = 17 44. 1/4 45. 67.5 km 46. 28 x = games lost x + 14 = games won x + 14 = ¾ (won + lost) x + 14 = ¾ ( x + 14 + x) x + 14 = ¾ (2x + 14) 4x + 56 = 6x + 42 14 = 2x x=7 Total = won + lost = 2x + 14 = 14 + 14 = 28 games 47. 2,880 m 2 48. 20 49. 28 m
Answer Key Grade 5 2005 ELIMINATION
34. 5:9 35. 30% 36. P 157.25
1. 4,260,095 2. millions 3. 800,000 4. 1,000 5. 18,000 6. 37,000,000 7. 42 8. 570,975 9. 23 x 32 x 5 x11 10. 101 11. 4 12. 18 13. 360 13 14.
37. 450
15
15.
86 13
16. 14 17. 18
8 9
7
m
10
18. 21 m2 19. 242.963 20. 70 21. 33 22. 13 23. 44.6 cm 24. 11 25. 7 26. 108 27. 178 m 28. 1,110 m 2 29.
13 18
38. 178 39. 4.24 m 2 40. 17 41. 1.558 ha 42. 3.5 m 43. 34 44. P 768.00 45. 10.5 m 2 46. 126o 47. 18 & 32 48. 61o 49. 76 50. 22 cm
ANSWER KEYS
~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~
2005 Division Orals
2004 Division Orals
A. 15-second
questions
A. 15-second
1. 640,000 2. 6 4.
13 7 20
6. 88 m. 7. 304 8. 23 9. 99 10.144 11.
3 4
3. 45
3. 0.005
7
4. 292
8
5. 180
6.
5
2.
₱343.75
6. 100 cm 7. 2.35
16
7. 64 cm
8. 15
1
8. 1
9. 7 ½
9. 60
10.40
10.16
11.
6
4 95
11.P1,800 B. 30-second B. 30-second
questions 1. 3.75 or x 105
B. 30-second
1. 71
13
2. 243
questions questions
3
2. 600
5. 101,000
96
5. 2
1. 5
1. P7.50
4.
3. 6
Finals A. 15-second
questions questions
2006 Division Team
1. 15
2. P94.50
2. 264 cm
3. 4
3. 145 cm2
4. 9
4. 10
1 5 17 20
3. 18%
5. 5 cm
5. 54 kph.
4. 9 : 11
6. 9
6. 11 years
5. 21 cm. 6. 75%
C. 1-minute
C. 1-minute
questions
questions
C. 1-minute questions 1. 1944 2. 24
1.
37 8
or 4
5
1. 1st part
8
2. P18.50
2. 95%
4. 27, 45, 63
3. Less by ₱18.75 4. ₱250
5. 7068
5. 100 cm
6. 170
6. 25
3. 25 cm2
3. 3,090,600.02 4. P26,250 5. 180 cups 6. 243 Clincher questions 5
ANSWER KEYS 2
1. 15 2.
17
2.
20
3.
~~~~~~~~~~~~~~~~~ 2007 Division Team Competition
3.
4 15
2. 11
3 7
3. 1.8 x 106 4. 2.45 m 5. 20 6. 12.25 7. 445 8. 18% or 18 9. 32 10.Nonagon B. 30-second questions 1. 2. 3. 4. 5. 6.
5 12
6 36 200.96 m2 3 pupils 9
C. 1-minute questions 1. 2. 3. 4. 5. 6.
₱250 ₱937.50 ₱67.20
95 m ₱163.50 28
4. 5. 6.
4.
4 11
A. 15-second questions 1. 72
1.
5. 2 x 72 6. 4 500 7. 62.5 or 62 ½ 8. 17, 25 9. 27 10.10 11.4.8 B. 30-second questions
25 m 2 8. 30 9. 400 m 7.
10.
11.
₱240
25 75o 8.4 cm ₱24 99
C. 1-minute questions 1. L = 20 cm, W = 15 cm 2. 3. 4. 5. 6.
1.
3. 4. 5. 6.
1. 8 2. Math Test 3. 842
8
7 33
10 21
21 cm ₱675 ₱125 57 84
C. 1-minute questions
294 cm2 2. 8 3. 850 4. 55 km/hr 1.
5.
400
90 150
₱70,000
60 dm ₱1680 160 km
Solution for C #5.
4 dm = 40 cm / 4 cm = 10 4 dm = 40 cm / 8 cm = 5 5 dm = 50 cm / 6 cm = 8 10 x 5 x 8 = 400 6.
Clincher questions
3
B. 30-second questions
2.
1. 2. 3. 4. 5. 6.
5 630 83 360 10% 101
Clincher questions 1. 3 2. 32.5 cm 3. 25
₱10,687.50
Clincher questions
13 2. 151 1.
3.
1872 cm2
ANSWER KEYS 3
~~~~~~~~~~~~ 2005 Sectoral Finals A. 15 -second questions 1. 54 2. 60
3. 46, accept
46
7. 28
8. Square garden 9. 225
1. 900
1. 42
2. 6 or 2
2. 72
3. 52
3. 179
6. 202
7. 4
7. 240
8. 87.5
8. 30 cm
9. 15
8
10.71
59
11.63
(but should be )
B. 30-second questions
1. ₱18,500
2. 20 accept (20% always do this) 3. 84 4. 113.04 m2
10.5 11.120
B . 30-second questions 1.
4. 119 cm 5. 105
2. 8 4. P150
1. 16.5 cm 2. 40.5 cm 3. 23,490 4. 40 5. 1872 cm2 6. 14
Clincher question
2. 39
21
3
C. 1-minute questions
1. 109 3. 16%
3. P624
6. 16.25 cm or 16 ¼ cm
B. 30-second questions
10
1
5. 128 m
5. 0.7435 6. 48 m
1 3
4. 97.5
5. 10%
9.
11.2, 3, 4, 6, 8,12, 24
1. 4
A. 15-second questions
2
6. 6
6
A. 15-second questions
1
5. ₱195
10.
2005 Regional Finals
4. 3 hrs.
1000
4. 7
1
2006 Sectoral Finals
5. 44% 6. 60
C. 1-minute questions 1. 486 cm2 2. 9 3. P44 4. 96 cm 5. 240 cm2 6. 55 km/hr
Clincher questions
6. 1,541,190,00
0 C. 1-minute questions 1. 35 m 2. 7 (3, 4, 6, 7)
3. 8 (powers of 2 end in 2, 4,8,6) 4. 7.56 5. 65 = 5(8+5) 6. 36 Clincher questions 1. 48o
20 3. 70 4. 3 5. 1517 =37 x 41 6. 182 2.
ANSWER KEYS 4 ~~~~~~~~~~~~~~ 2006
Regional Finals
A. 15-second questions 1. 45 2. 4,500 3.
C. 1-minute questions 1. 55 sq. m. 2. 480 3. 216 cm2
4.3 [sol 353 =( 34 )13 (3)]
6
~~~~~~~~~~~~~~~~~~ 2
4. 76 m 5. 64 L 6. 4 7. 567
2007 Regional Finals A. 15-second questions
8. 949
1.
9. 60 m2
2.
10. 355
3.
11.33
4.
B. 30-second questions 17 21
2. 105 3. 28,800 4. 290 5. 16 cm 6.
234.545 2 or 8 198
126 cm2 5. 7:50 6. 119 7. 20 cm by15 cm 8. 245, 254 9. P240 10. 91 11. 1994 B. 30-second questions
69 8
2.
11.7 200 km
3.
144 cm2
1.
4. 5.
7
1. 45
C. 1-minute questions
1.
47
6.
4591 m2 257 495
Clincher questions 1. 2. 3.
996 63o 30 m
Do-Or-Die questions 1.
8
GRADE 5 – MTAP DIVISION TEAM FINALS ( FEBRUARY 10, 2011 ) ANSWERS:
EASY:
1. 95 cm.
6. 901
2. 9.375 kg. or 75/8 kg.
7. 213
3. 8 9/10
8. P27
4. 10/9
9. 25, 36, 49
5. 4 1/8
10. 1,200 boys
AVERAGE:
1. 120 cm. 2. P752.25 3. 49 4. 25 5. 1.375 l.
DIFFICULT:
1. P250 3. 86 km./hr. 4. P2,125 5. 36 cm.
