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GATCE 🇹🇿 NECTA ✓ MS available

Mathematics · Paper 1 · 2024

25 questions

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Questions (25)

Section A

1. 4 marks

Give four reasons why merchants from the European continent were among the precursors of colonialism.

  1. Give four reasons why merchants from the European continent were among the precursors of colonialism. (4 mk)
  2. Give four reasons why traders from the European continent were among the pioneers of colonialism. (1 mk)
  3. Give four reasons why traders from the European continent were among the pioneers of colonialism. (1 mk)
  4. Give four reasons why traders from the European continent were among the pioneers of colonialism. (1 mk)

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2. 4 marks

Explain the effects of direct rule on African societies.

  1. Explain the effects of direct rule on African societies. (4 mk)
  2. Explain the effects of direct rule on African societies. (1 mk)
  3. Explain the effects of direct rule on African societies. (1 mk)
  4. Explain the effects of direct rule on African societies. (1 mk)

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3. 4 marks

Briefly outline the roles of four United Nations organizations for its members.

  1. Briefly outline the roles of four United Nations organizations for its members. (4 mk)
  2. Briefly outline the roles of four United Nations organizations to their members. (1 mk)
  3. Briefly outline the roles of four United Nations organizations to their members. (1 mk)
  4. Briefly outline the roles of four United Nations organizations to their members. (1 mk)

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4. 4 marks

Explain the importance of the Lesson Plan, Lesson Topic, Lesson Diary, and Lesson Notes for a teacher teaching History.

  1. Explain the importance of the Lesson Plan, Lesson Topic, Lesson Diary, and Lesson Notes for a teacher teaching History. (4 mk)
  2. Explain the importance of the Lesson Plan for a history teacher. (1 mk)
  3. Explain the importance of the Lesson Diary for a history teacher. (1 mk)
  4. Explain the importance of the Lesson Notes for a history teacher. (1 mk)

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5. 4 marks

Briefly explain the difference between the theory of creation and the theory of evolution.

  1. Briefly explain the difference between the theory of creation and the theory of evolution. (4 mk)
  2. Briefly explain the theory of evolution. (1 mk)

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6. 4 marks

Briefly explain four criteria a teacher can use in selecting tools to achieve subject objectives during teaching.

  1. Briefly explain four criteria a teacher can use in selecting tools to achieve subject objectives during teaching. (4 mk)
  2. Briefly explain four criteria a teacher can use in choosing tools to achieve lesson objectives during teaching. (1 mk)
  3. Briefly explain four criteria a teacher can use in choosing tools to achieve lesson objectives during teaching. (1 mk)
  4. Briefly explain four criteria a teacher can use in choosing tools to achieve lesson objectives during teaching. (1 mk)

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7. 4 marks

Explain each of the following celestial bodies; (a) Satellite (b) Asteroid (c) Comet (d) Meteoroid

  1. Explain Satellite. (1 mk)
  2. Explain Asteroid. (1 mk)
  3. Explain Comet. (1 mk)
  4. Explain Meteoroid. (1 mk)

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8. 4 marks

Briefly explain four effects observed on Earth that demonstrate the existence of two orbits of the Earth.

  1. Briefly explain four effects observed on Earth that demonstrate the existence of two orbits of the Earth. (4 mk)
  2. Briefly explain four effects observed on Earth that demonstrate the existence of the Earth's two rotations. (1 mk)
  3. Briefly explain four effects observed on Earth that demonstrate the existence of the Earth's two rotations. (1 mk)
  4. Briefly explain four effects observed on Earth that demonstrate the existence of the Earth's two rotations. (1 mk)

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9. 4 marks

Briefly explain four reasons for the existence of climate variations in Tanzania.

  1. Briefly explain four reasons for the existence of climate variations in Tanzania. (4 mk)
  2. Briefly explain four reasons for the existence of climatic differences in Tanzania. (1 mk)
  3. Briefly explain four reasons for the existence of climatic differences in Tanzania. (1 mk)
  4. Briefly explain four reasons for the existence of climatic differences in Tanzania. (1 mk)

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10. 4 marks

Briefly explain four characteristics of contour lines as used in map drawing.

  1. Briefly explain four characteristics of contour lines as used in map drawing. (4 mk)
  2. Briefly explain four characteristics of contour lines as used in map drawing. (1 mk)
  3. Briefly explain four characteristics of contour lines as used in map drawing. (1 mk)
  4. Briefly explain four characteristics of contour lines as used in map drawing. (1 mk)

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Section B

11. 5 marks

The farm of Amkeni Teachers' College has a shape as shown in the following diagram: What is the area of the farm?

  1. The farm of Amkeni Teachers' College has a shape as shown in the following diagram: What is the area of the farm? (5 mk)

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12. 15 marks

Prospective teachers were practicing finding complements, unions, and intersections of various sets: (a) If μ= {1,2,3,4,5,6,7,8,9} and A= {5,7,8,9} what did they find for the following sets? (i) A' (ii) A'∪A (iii) A'∩A (b) Using sets μ={1,2,3,4,5,6}, A={1,2,3,4} and B={2,3,4,5,6} how would you show that: (i) (A∩B)'= A'∪B' ? (ii) (A∪B)'=A'∩B' ? (iii) (A')' = A ?

  1. If μ= {1,2,3,4,5,6,7,8,9} and A= {5,7,8,9} what did they find for the following sets? (i) A' (ii) A'∪A (iii) A'∩A (6 mk)
  2. Using sets μ={1,2,3,4,5,6}, A={1,2,3,4} and B={2,3,4,5,6} how would you show that: (i) (A∩B)'= A'∪B' ? (ii) (A∪B)'=A'∩B' ? (iii) (A')' = A ? (9 mk)

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13. 10 marks

The results of educational assessment are important because they show successes and shortcomings for various stakeholders in education in the teaching and learning process. Using five stakeholders, explain how they benefit from the assessment.

  1. Using five stakeholders, explain how they benefit from the assessment. (10 mk)

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14. 10 marks

Mathematics teachers are required to prepare students to study through practice, theory, and applying Mathematics in daily life so that they are not convinced that this subject is difficult and useless. Defend this statement by providing five arguments.

  1. Defend the statement by providing five arguments. (10 mk)

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