Calculate 5 1/3 - 2 1/4 ÷ 6 2/3 + 2 1/3 × 3 1/3

1. Calculate 5 1/3 - 2 1/4 ÷ 6 2/3 + 2 1/3 × 3 1/3 (4 mk)

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Find the Least Common Multiple (LCM) of 15 and 10.

1. Find the Least Common Multiple (LCM) of 15 and 10. (3 mk)

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Find: (a) n(A∪B), (b) n(A∩B) if A={1,2,3,4,5} B={3,4,5,6,7,8}

1. Find n(A∪B) if A={1,2,3,4,5} and B={3,4,5,6,7,8} (2 mk)
2. Find n(A∩B) if A={1,2,3,4,5} and B={3,4,5,6,7,8} (2 mk)

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Show step-by-step how to convert (0.6)² to a simple fraction for a Class Six student.

1. Show step-by-step how to convert (0.6)² to a simple fraction for a Class Six student. (4 mk)

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If y→4→8 means y+4=8, write the equations for the following components and then solve the equations: (a) x→-7→-24 (b) a→+1 1/2→21 1/2

1. If x→-7→-24 means x - 7 = -24, write the equation and solve it. (3 mk)
2. If a→+1 1/2→21 1/2 means a + 1 1/2 = 21 1/2, write the equation and solve it. (3 mk)

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If a cylinder has a diameter of 28 cm and a height of 40 cm, use π=22/7 to find its volume.

1. If a cylinder has a diameter of 28 cm and a height of 40 cm, use π=22/7 to find its volume. (4 mk)

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A radio cassette was bought for Tsh 420,000 and sold for Tsh 480,000. (a) What was the amount of profit the seller made? (b) What percentage is the profit of the amount made?

1. What was the amount of profit the seller made? (2 mk)
2. What percentage is the profit of the amount made? (2 mk)

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If the LCM of 2, 6 and x is 24, show how a Class Five student would find the value of x using the long method.

1. If the LCM of 2, 6 and x is 24, show how a Class Five student would find the value of x using the long method. (4 mk)

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(a) What is the meaning of teaching and learning materials? (b) Mention three categories of teaching and learning materials.

1. What is the meaning of teaching and learning materials? (2 mk)
2. Mention three categories of teaching and learning materials. (3 mk)

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(a) With an example, classify three types of whole numbers. (b) Calculate (-2)³

1. With an example, classify three types of whole numbers. (3 mk)
2. Calculate (-2)³ (2 mk)

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In a girls' class, each student participates in either netball or basketball. If the netball team has 11 members, the basketball team has 5 members, and 3 members are in both teams. How many girls are in the class?

1. In a girls' class, each student participates in either netball or basketball. If the netball team has 11 members, the basketball team has 5 members, and 3 members are in both teams. How many girls are in the class? (5 mk)

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Simplify the following expressions using the laws of exponents: (a) (12 x⁶ y¹⁰)/(3 y³ x⁴) (b) (28 x⁵ y²)/(4 x³ y⁵)

1. Simplify (12 x⁶ y¹⁰)/(3 y³ x⁴) (3 mk)
2. Simplify (28 x⁵ y²)/(4 x³ y⁵) (3 mk)

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Using diagrams, show how to teach a Class Six student the concept of fractions for each of the following components: (i) 4/5 × 1/3 = 4/15 (ii) 1/2 + 1/4 = 3/4 (iii) 2/3 – 1/2 = 1/6

1. Using diagrams, show how to teach a Class Six student the concept of multiplying fractions: 4/5 × 1/3 = 4/15. (5 mk)
2. Using diagrams, show how to teach a Class Six student the concept of adding fractions: 1/2 + 1/4 = 3/4. (5 mk)
3. Using diagrams, show how to teach a Class Six student the concept of subtracting fractions: 2/3 – 1/2 = 1/6. (5 mk)

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Using a square shape diagram, show how you would teach the concept of verifying the Pythagorean theorem a² + b² = c².

1. Using a square shape diagram, show how you would teach the concept of verifying the Pythagorean theorem a² + b² = c². (10 mk)

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