Q1: A square is divided into two equal parts. What fraction of the square is one part?
Ans: One part is one-half because the whole square is divided into two equal parts.
Q2: A shape is divided into two parts, but one part is bigger than the other. Can any part be called a half?
Ans: No, a part can be called a half only when both parts are equal in size.
Q3: Two identical pieces are joined together to form one shape. What can each piece be called?
Ans: Each piece can be called a half because two halves make one whole.
Q4: A rectangle is divided into four equal parts. What fraction does one part represent?Ans: One part represents one quarter because the whole is divided into four equal parts.
Q5: One quarter of a shape is shaded. How many such quarters are needed to make the whole shape?Ans: Four quarters are needed to make one whole.
Q6: Which is larger: one-half or one quarter of the same whole? Give a mathematical reason. Ans: One half is larger because a whole is divided into only two equal parts for halves, but into four equal parts for quarters.
Q7: A rope is cut into two equal pieces. What fraction of the rope is one piece?Ans: One piece is one-half of the rope because it is one of two equal parts.
Q8: Four equal pieces together make one whole. What is each piece called?
Ans: Each piece is called one quarter because four equal parts make one whole.
Q9: One child has 3 pencils and another child has 6 pencils. How are these two numbers related?Ans: 3 is half of 6 and 6 is double of 3.
Q10: If a number is doubled and becomes 16, what was the original number? Explain.
Ans: The original number was 8 because doubling 8 gives 16, and half of 16 is 8.