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GATCE 🇹🇿 NECTA ✓ MS available

Mathematics · Paper 1 · 2020

19 questions

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Questions (19)

Section A

1. 0 marks

Calculate 3 - 1/2 ÷ 2/4 + 4/3 × 1/5.

  1. Calculate 3 - 1/2 ÷ 2/4 + 4/3 × 1/5. (0 mk)

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2. 0 marks

Find the surface area of a sphere with a radius of 7 cm.

  1. Find the surface area of a sphere with a radius of 7 cm. (0 mk)

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3. 0 marks

Find the Least Common Multiple (LCM) of: (a) and (b) and

  1. Find the Least Common Multiple (LCM) of and (0 mk)
  2. Find the Least Common Multiple (LCM) of and (0 mk)

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4. 0 marks

Find the interest for 5 years if the principal amount is Shillings 2,000,000 and the rate is 6 percent per annum.

  1. Find the interest for 5 years if the principal amount is Shillings 2,000,000 and the rate is 6 percent per annum. (0 mk)

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5. 0 marks

Find two consecutive numbers whose sum is 4,325.

  1. Find two consecutive numbers whose sum is 4,325. (0 mk)

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6. 0 marks

Find the union of sets P = {1, 2, 3, 4, 5} and Q = {4, 5, 6, 7}.

  1. Find the union of sets P = {1, 2, 3, 4, 5} and Q = {4, 5, 6, 7}. (0 mk)

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7. 0 marks

Solve the equation - - + =.

  1. Solve the equation - - + =. (0 mk)

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8. 0 marks

State four benefits of assessment in the teaching and learning of Mathematics.

  1. State four benefits of assessment in the teaching and learning of Mathematics. (0 mk)

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9. 0 marks

Convert: (a) 4.6 kilometers to centimeters. (b) 15 centimeters to millimeters.

  1. Convert 4.6 kilometers to centimeters. (0 mk)
  2. Convert 15 centimeters to millimeters. (0 mk)

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10. 0 marks

If 20 people can cultivate a shamba in 8 days, how many days will it take 16 people to cultivate the same shamba?

  1. If 20 people can cultivate a shamba in 8 days, how many days will it take 16 people to cultivate the same shamba? (0 mk)

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Section B

11. 15 marks

If A = {0,1,2,3,4,5,6} and B = {1, 2,3, 4,8,9} draw a Venn diagram showing: (i) A U B (ii) A ∩ B (b) In a class of 35 students, 17 study Mathematics and 11 study Mathematics and ICT. If 7 students study neither Mathematics nor ICT, how many students study ICT? Use a Venn diagram to answer this question.

  1. Draw a Venn diagram showing A ∩ B (5 mk)
  2. In a class of 35 students, 17 study Mathematics and 11 study Mathematics and ICT. If 7 students study neither Mathematics nor ICT, how many students study ICT? Use a Venn diagram to answer this question. (10 mk)

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12. 15 marks

Songambele village made a profit of Shillings 414,000 from selling grain crops as shown in the following pie chart: (a) How much profit did the village make on the sale of each crop? (b) Which crop made the highest profit compared to other crops?

  1. How much profit did the village make on the sale of each crop? (10 mk)
  2. Which crop made the highest profit compared to other crops? (5 mk)

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13. 15 marks

(a) Name three types of whole numbers and give an example for each. (b) Calculate (-2)^3

  1. Name three types of whole numbers and give an example for each. (9 mk)
  2. Calculate (-2)^3 (6 mk)

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Section C

14. 30 marks

(a) Explain how you would teach Grade One students the concept of 1/4 for the first time. (b) Show how you would teach a Grade Seven student the concept of 3/7 + 1/8 + (-7) = -4 using a number line.

  1. Explain how you would teach Grade One students the concept of 1/4 for the first time. (15 mk)
  2. Show how you would teach a Grade Seven student the concept of 3/7 + 1/8 + (-7) = -4 using a number line. (15 mk)

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15. 15 marks

Explain how you would teach a student to find the sum of 1/8 and 1/2 using a rectangular diagram.

  1. Explain how you would teach a student to find the sum of 1/8 and 1/2 using a rectangular diagram. (15 mk)

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16. 30 marks

(a) Explain with four arguments how you would teach Grade Five students to draw a 60-degree angle using a compass. (b) Show the steps you would use to teach a student how to draw a 90-degree angle using only a compass and ruler.

  1. Explain with four arguments how you would teach Grade Five students to draw a 60-degree angle using a compass. (15 mk)
  2. Show the steps you would use to teach a student how to draw a 90-degree angle using only a compass and ruler. (15 mk)

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