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Fraction Sets Māori Worksheet

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Fraction Sets Māori Worksheet

Māori fraction sets illustration

🌟 Part 1: Basic Fraction Sets (Ngā Hautanga Takirua)

1. There are 8 kiwi. 1/4 of them are sleeping. How many kiwi are sleeping?
2. There are 12 paua shells. 1/3 of them are large. How many are large?
3. A whānau has 10 tamariki. 2/5 of them are boys. How many boys are there?
4. There are 15 kūmara in a basket. 1/5 of them are ready to eat. How many are ready?
5. A kapa haka group has 20 performers. 3/4 of them are wearing red. How many wear red?
6. There are 18 tui in the trees. 2/3 of them are singing. How many tui are singing?
7. A marae has 24 chairs. 5/8 of them are occupied. How many chairs are occupied?
8. There are 16 hangi stones. 3/8 of them are hot. How many stones are hot?
9. A school has 30 students learning te reo Māori. 2/5 of them are beginners. How many are beginners?
10. There are 21 pohutukawa flowers. 4/7 of them are red. How many are red?

🐚 Part 2: Multiple Choice - Fraction Sets

11. There are 12 kōura (crayfish). 1/4 of them are large. How many are large?

2

3

4

6

12. A haka group has 18 members. 2/3 perform today. How many perform?

6

9

12

15

13. There are 20 kauri leaves. 3/5 are green. How many are green?

8

10

12

15

14. A waka has 24 paddlers. 5/6 are experienced. How many are experienced?

18

20

22

24

15. There are 14 pounamu stones. 3/7 are carved. How many are carved?

4

6

8

10

16. A hui has 25 people. 4/5 speak te reo Māori. How many speak te reo?

15

18

20

22

17. There are 32 mussels. 3/8 are open. How many are open?

8

10

12

16

18. A kōhanga reo has 27 tamariki. 2/9 are 3 years old. How many are 3?

4

6

8

9

19. There are 35 flax leaves. 3/7 are ready for weaving. How many are ready?

12

15

18

21

20. A tangi has 40 visitors. 7/8 stay for the meal. How many stay?

30

32

35

38

🌿 Part 3: Fill in the Blanks - Māori Context

21. There are 16 kererū. 1/4 of them are eating berries. _____ kererū are eating berries.
22. A marae has 36 people for dinner. 5/6 want fish. _____ people want fish.
23. There are 28 tōtara trees. 3/4 of them are tall. _____ trees are tall.
24. A wharenui has 45 carvings. 2/5 show ancestors. _____ carvings show ancestors.
25. There are 42 pīpi shells. 4/7 are closed. _____ shells are closed.
26. A kura has 50 students. 3/10 play rugby. _____ students play rugby.
27. There are 48 mānuka flowers. 5/8 are white. _____ flowers are white.
28. A pōwhiri has 54 participants. 7/9 are from the local iwi. _____ are from the local iwi.
29. There are 63 kōwhai seeds. 4/9 have sprouted. _____ seeds have sprouted.
30. A hangi feeds 72 people. 5/8 want kūmara. _____ people want kūmara.
31. There are 56 rimu cones. 3/7 are ripe. _____ cones are ripe.
32. A festival has 60 performers. 4/5 wear traditional dress. _____ wear traditional dress.
33. There are 81 kawakawa leaves. 2/9 are damaged. _____ leaves are damaged.
34. A wānanga has 64 participants. 7/8 complete the course. _____ complete the course.
35. There are 70 tuatua shells. 3/5 are buried in sand. _____ shells are buried.

🏔️ Part 4: Word Problems - Advanced Sets

36. At a cultural festival, there are 84 Māori artworks. 5/7 are traditional carvings and the rest are paintings. How many are paintings?
37. A fishing trip catches 96 fish. 3/8 are snapper, 1/4 are kahawai, and the rest are gurnard. How many gurnard were caught?
38. A marae garden has 120 plants. 2/5 are vegetables, 1/3 are herbs, and the rest are flowers. How many flowers are there?
39. During Matariki celebrations, 150 people attend. 3/5 are adults, 1/6 are teenagers, and the rest are children. How many children attend?
40. A kapa haka competition has 180 participants. 4/9 perform haka, 1/3 perform poi, and the rest perform waiata. How many perform waiata?
41. A forest has 210 native trees. 2/7 are kauri, 3/10 are rimu, and the rest are tōtara. How many tōtara trees are there?
42. At a hui, 240 people bring food. 5/8 bring traditional Māori food, 1/6 bring modern food, and the rest bring drinks. How many bring drinks?
43. A weaving workshop has 168 flax strips. 3/7 are used for baskets, 2/8 for mats, and the rest for decorations. How many are for decorations?
44. A waka journey covers 300 kilometres. They complete 4/5 on the first day, 1/10 on the second day, and the rest on the third day. How many kilometres on the third day?
45. A traditional feast serves 360 people. 7/12 eat fish, 1/4 eat meat, and the rest eat only vegetables. How many eat only vegetables?

🎭 Part 5: Multiple Selection - Check All That Apply

46. Which of these show 1/2 of a set? (Check all that apply)

3 out of 6 kiwi

4 out of 8 paua

5 out of 12 tui

7 out of 14 kōura

47. Which fractions equal 2/3? (Check all that apply)

4/6

6/9

8/10

10/15

48. Which show 3/4 of a set? (Check all that apply)

6 out of 8 hangi stones

9 out of 12 kūmara

12 out of 15 flax leaves

15 out of 20 shells

49. Which are equivalent to 1/4? (Check all that apply)

2/8

3/12

4/15

5/20

50. Which show 5/6 of a set? (Check all that apply)

10 out of 12 performers

15 out of 18 carvings

20 out of 24 visitors

25 out of 30 students

🌊 Part 6: Comparing Fractions in Sets

51. Group A has 12 kōwhai flowers, 1/3 are yellow. Group B has 15 flowers, 2/5 are yellow. Which group has more yellow flowers?
52. Waka A has 18 paddlers, 2/3 are experienced. Waka B has 20 paddlers, 3/5 are experienced. Which waka has more experienced paddlers?
53. Marae A serves 24 people, 5/8 want fish. Marae B serves 30 people, 2/5 want fish. Which marae serves fish to more people?
54. School A has 36 students, 5/9 learn te reo. School B has 40 students, 1/2 learn te reo. Which school has more te reo learners?
55. Forest A has 42 trees, 4/7 are native. Forest B has 45 trees, 3/5 are native. Which forest has more native trees?
56. Festival A has 48 performers, 7/8 wear traditional dress. Festival B has 50 performers, 4/5 wear traditional dress. Which has more in traditional dress?
57. Garden A has 54 plants, 5/9 are vegetables. Garden B has 56 plants, 3/7 are vegetables. Which garden has more vegetables?
58. Hui A has 60 people, 7/10 speak Māori. Hui B has 63 people, 2/3 speak Māori. Which hui has more Māori speakers?
59. Beach A has 72 shells, 5/8 are whole. Beach B has 75 shells, 3/5 are whole. Which beach has more whole shells?
60. Workshop A has 81 participants, 7/9 complete projects. Workshop B has 84 participants, 5/7 complete projects. Which has more completions?

🏛️ Part 7: Real-World Applications

61. A traditional Māori village has 90 people. If 2/9 are kaumātua (elders), 1/3 are adults, and the rest are tamariki, how many tamariki are there?
62. During a tangi, 120 people attend. 3/8 are whānau, 1/4 are friends, 1/6 are community members, and the rest are visitors. How many visitors attend?
63. A Matariki festival has 150 activities. 2/5 are cultural performances, 1/3 are workshops, 1/10 are food stalls, and the rest are games. How many games are there?
64. A wharenui renovation needs 180 pieces of timber. 5/12 are for the frame, 1/4 are for walls, 1/6 are for the roof, and the rest are for finishing. How many pieces are for finishing?
65. A kapa haka group practices 210 minutes per week. 3/7 is spent on haka, 2/5 on waiata, and the rest on poi. How many minutes are spent on poi?
66. A traditional fishing expedition catches 240 fish. 5/8 are kept for the community, 1/6 are given to kaumātua, and the rest are traded. How many fish are traded?
67. A weaving exhibition displays 270 items. 4/9 are baskets, 1/3 are mats, 1/10 are clothing, and the rest are decorative items. How many decorative items are displayed?
68. A marae garden produces 300 kg of vegetables. 2/5 are kūmara, 1/4 are pumpkin, 1/6 are beans, and the rest are other vegetables. How many kg are other vegetables?
69. A cultural centre has 360 books. 5/12 are in te reo Māori, 1/3 are about Māori history, 1/8 are children's books, and the rest are reference books. How many reference books are there?
70. A waka hourua journey covers 420 nautical miles. 3/7 is completed in calm seas, 2/5 in moderate seas, and the rest in rough seas. How many nautical miles are in rough seas?

🎨 Part 8: Creative Problem Solving

71. Design a hangi for 48 people. If 3/8 want fish, 1/4 want chicken, 1/6 want lamb, and the rest want vegetables only, plan the quantities needed.
72. A kōhanga reo has 36 tamariki. Create a daily schedule where 1/3 do karakia, 2/9 do waiata, 1/4 do storytelling, and the rest do play activities. Show your working.
73. Plan a traditional feast for 72 guests. If 5/8 prefer seafood, 1/4 prefer meat, and the rest prefer vegetarian options, calculate portions needed.
74. A marae hosts 90 visitors for three days. On day 1, 2/5 arrive. On day 2, 1/3 of the total arrive. The rest arrive on day 3. How many arrive each day?
75. Create a planting plan for a rongoā garden with 60 plants. Include 1/4 kawakawa, 1/5 mānuka, 1/3 harakeke, and the rest mixed herbs. Show your calculations.

🌟 Part 9: Challenge Problems

76. A whakatōhea (tribal gathering) expects 144 people. 5/12 are from the home iwi, 1/4 are from neighbouring iwi, 1/8 are from distant iwi, and the rest are non-Māori supporters. How many are non-Māori supporters?
77. A traditional waka requires 168 hours of carving. 3/7 is spent on the hull, 2/8 on decorative elements, 1/6 on the prow, and the rest on finishing touches. How many hours for finishing touches?
78. A Māori language immersion programme has 192 students across four levels. Beginners are 5/12 of total, intermediate are 1/3, advanced are 1/8, and the rest are fluent speakers. How many fluent speakers?
79. A traditional medicine garden covers 216 square metres. Healing plants occupy 4/9, food plants occupy 1/4, ceremonial plants occupy 1/8, and the rest is pathways. What area is pathways?
80. A cultural festival runs for 240 minutes. Opening ceremony takes 1/8 of time, performances take 3/5, workshops take 1/6, and the rest is closing ceremony. How long is the closing ceremony?
81. A traditional fishing fleet catches 288 fish in one day. 5/12 are snapper, 1/4 are kahawai, 1/8 are trevally, 1/12 are gurnard, and the rest are other species. How many other species?
82. A whare whakairo (carved house) project uses 336 pieces of timber. 7/12 are for structural elements, 1/4 are for carved panels, 1/8 are for decorative features, and the rest are for repairs. How many pieces for repairs?
83. A Matariki celebration has 360 participants across different age groups. Tamariki (children) are 2/5, rangatahi (youth) are 1/4, adults are 1/3, and the rest are kaumātua. How many kaumātua participate?
84. A traditional feast preparation takes 384 minutes. Gathering kai moana takes 3/8 of time, preparing vegetables takes 1/4, cooking takes 1/3, and the rest is serving. How many minutes for serving?
85. A wharenui restoration project costs $432,000. Materials cost 5/12 of total, labour costs 1/3, cultural consultation costs 1/8, and the rest is contingency. What is the contingency amount?

🏆 Part 10: Final Challenge - Mixed Problems

86. Three marae are hosting a combined hui. Marae A hosts 1/4 of 120 people, Marae B hosts 2/5 of 90 people, and Marae C hosts 3/7 of 84 people. Which marae hosts the most people?
87. A kapa haka competition has three categories. Junior (ages 5-12) has 2/7 of 84 participants, intermediate (ages 13-17) has 3/8 of 96 participants, and senior (18+) has 4/9 of 108 participants. How many participants in total?
88. A traditional weaving workshop teaches three techniques. Basket weaving uses 3/10 of 150 minutes, mat weaving uses 2/5 of 120 minutes, and clothing weaving uses 4/7 of 105 minutes. What is the total teaching time?
89. Three iwi contribute to a cultural centre. Iwi A donates 3/8 of $96,000, Iwi B donates 2/5 of $75,000, and Iwi C donates 5/9 of $108,000. What is the total donation?
90. A traditional fishing expedition visits three locations. Location A yields 2/7 of their 168 fish, Location B yields 3/

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