UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
A Seminar for Parents Helping Your Child Prepare for PSLE Mathematics
1. A Seminar for Parents Helping Your Child Prepare for PSLE Mathematics Yeap Ban Har National Institute of Education Nanyang Technological University Singapore [email_address]
20. Table 1 consists of numbers from 1 to 56. Kay and Lin are given a plastic frame that covers exactly 9 squares of Table 1 with the centre square darkened. (a) Kay puts the frame on 9 squares as shown in the figure below. What is the average of the 8 numbers that can be seen in the frame? 3 4 5 11 13 19 20 21
21. Table 1 consists of numbers from 1 to 56. Kay and Lin are given a plastic frame that covers exactly 9 squares of Table 1 with the centre square darkened. (a) Kay puts the frame on 9 squares as shown in the figure below. What is the average of the 8 numbers that can be seen in the frame? 4 x 24 = 96 96 ÷ 8 = 12 3+4+5+11+13+19+20 = 96 96 ÷ 8 = 12 3 4 5 11 13 19 20 21
22. (b) Lin puts the frame on some other 9 squares. The sum of the 8 numbers that can be seen in the frame is 272. What is the largest number that can be seen in the frame? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 34
24. Challenging Items: Visualization 40 x 30 x 60 = 72 000 72 000 ÷ 5 x 2 = 14 400 x 2 = 28 800 28 800 ÷ 1200 = 24 The height is 24 cm
25. Challenging Items: Visualization 40 x 30 x 60 ÷ 5 x 2 ÷ (40 x 30) = 24 The height is 24 cm. 40 x 30 x 60 ÷ 5 x 3 ÷ (40 x 45) = 24 The height is Tank B is 24 cm. It is the same for Tank A.
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29. The rationale of teaching mathematics is that it is “a good vehicle for the development and improvement of a person’s intellectual competence ”.
30. It is so basic, students doing Foundation Mathematics are expected to have the ability …
31. Emphasis on Visualization is not new. John had 1.5 m of copper wire. He cut some of the wire to bend into the shape shown in the figure below. In the figure, there are 6 equilateral triangles and the length of XY is 19 cm. How much of the copper wire was left?
32. Emphasis on Visualization is not new. John had 1.5 m of copper wire. He cut some of the wire to bend into the shape shown in the figure below. In the figure, there are 6 equilateral triangles and the length of XY is 19 cm. How much of the copper wire was left?
33. Emphasis on Visualization is not new. John had 1.5 m of copper wire. He cut some of the wire to bend into the shape shown in the figure below. In the figure, there are 6 equilateral triangles and the length of XY is 19 cm. How much of the copper wire was left?
34. Emphasis on Visualization is not new. John had 1.5 m of copper wire. He cut some of the wire to bend into the shape shown in the figure below. In the figure, there are 6 equilateral triangles and the length of XY is 19 cm. How much of the copper wire was left?
35. Emphasis on Visualization is not new. John had 1.5 m of copper wire. He cut some of the wire to bend into the shape shown in the figure below. In the figure, there are 6 equilateral triangles and the length of XY is 19 cm. How much of the copper wire was left? 19 cm x 5 = 95 cm 150 cm – 95 cm = 55 cm 55 cm was left.