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# How to Ace PSLE Maths

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### How to Ace PSLE Maths

1. 1. How to Ace the PSLE Mathematics<br />Yeap Ban Har<br />National Institute of Education<br />Nanyang Technological University <br />
2. 2. PSLE Mathematics<br />
3. 3. PSLE Mathematics<br />Paper 1 (50 min)<br />Paper 2 (1 hr 40 min)<br />
4. 4. PSLE Foundation Mathematics<br />Paper 1 (1 hr)<br />Paper 2 (1 hr 15 min)<br />
5. 5. PSLE Mathematics is Based on a Problem-Solving Curriculum<br />
6. 6.
7. 7. rationale of the curriculum<br />The rationale of teaching mathematics is that it is “a good vehicle for the development and improvement of a person’s intellectual competence”.<br />
8. 8. “… over-emphasising procedural skills without understanding the underlying mathematical principles should be avoided.” <br />Ministry of Education 2006<br />
9. 9. Find the value of <br />(a) 11.98 – 2.6 <br />(b) 43 ÷ 10 <br />Example 0<br />
10. 10. Find the value of 12.2 ÷ 4 .<br />Basic Skills Items<br />Example 1<br />
11. 11. 3.05<br />3<br />12.20<br />12.20<br />4<br />12<br />20 hundredths<br />12<br />0.20<br />0.20<br />Number Bond Method<br />0<br />Long Division Method<br />
12. 12. Find <y in the figure below.<br />360o – 210o = 150o<br />70 o<br />70 o<br />y<br />70 o<br />Example 2<br />
13. 13. The height of the classroom door is about __.<br />(1) 1 m<br />(2) 2 m<br />(3) 10 m<br />(4) 20 m<br />Example 3<br />
14. 14. “Mathematical problem solving is central to mathematics learning.” <br />Ministry of Education 2006<br />
15. 15. Ali paid for a 85-cent pen with a \$5 note.<br />How much change should he get?<br />Answer: \$__________<br />Example 4<br />
16. 16. A show started at 10.55 a.m. and ended at 1.30 p.m. How long was the show in hours and minutes?<br />Example 5<br />
17. 17. During a sale, mugs are sold in sets of 3 for \$1.45. How much must Bala pay for buying 15 mugs during the sale?<br />\$1.45 x 5 = \$14.50 ÷ 2 = \$7.25<br />Example 6<br />
18. 18. Sam had 295 eggs. He packed all the eggs into boxes of 9 with some left over. How many eggs are left over? <br />295 ÷ 9 = 32 remainder 7<br />7 eggs are left over<br />Example 7<br />
19. 19. 295<br />270<br />25<br />
20. 20. Cup cakes are sold at 40 cents each. <br /> What is the greatest number of cup cakes that can be bought with \$95? <br />\$95 ÷ 40 cents = 237.5<br />Answer: 237 cupcakes<br />Basic Skill Item<br />Example 8<br />
21. 21. Mr Tan rented a car for 3 days. He was charged \$155 per day and 60 cents for every km that he travelled. He paid \$767.40. What was the total distance that he travelled for the 3 days?<br />\$767.40 – 3 x \$155 = \$302.40<br />\$302.40 ÷ 60 cents per km = 504 km<br />Example 9<br />
22. 22. Mr Tan rented a car for 3 days. He was charged \$155 per day and 60 cents for every km that he travelled. He paid \$767.40. What was the total distance that he travelled for the 3 days?<br />767.40 – 3 x 155 = 302.40<br />302.40 ÷ 0.60 = 504 <br />He travelled 504 km.<br />Example 9<br />
23. 23. “Mathematical problem solving is central to mathematics learning.” <br />Ministry of Education 2006<br />
24. 24. ““… including non-routine, open-ended and real-world problems.”<br />Ministry of Education 2006<br />
25. 25. 1 + 2 + 3 + 4 + 5 + … + 95 + 96 + 97<br />The first 97 whole numbers are added up.<br />What is the ones digit in the total?<br />Challenging Items: Novel<br />
26. 26. 1 + 2 + 3 + 4 + 5 + … + 95 + 96 + 97<br />The first 97 whole numbers are added up.<br />What is the ones digit in the total?<br />Challenging Items: Novel<br />
27. 27. 1 + 2 + 3 + 4 + 5 + … + 95 + 96 + 97<br />The first 97 whole numbers are added up.<br />What is the ones digit in the total?<br />Challenging Items: Novel<br />
28. 28. 1 + 2 + 3 + 4 + 5 + … + 95 + 96 + 97<br />The first 97 whole numbers are added up.<br />What is the ones digit in the total?<br /> The method is difficult to communicate in written form. Hence, the problem is presented in the MCQ format where credit is not given for written method.<br />Challenging Items: Novel<br />
29. 29.  -  = n where n is a whole number<br />The difference between a 2-digit whole<br />number and a 1-digit whole number is n. <br />Find all the possible subtraction sentences when n = 4. <br />Describe in words how the number of possible subtraction sentences depends on the value of n.<br />Challenging Items: Novel<br />Example 10<br />
30. 30. 10 - 6 = 4<br />11 - 7 = 4<br />12 - 8 = 4<br />13 - 9 = 4<br />10 – 7 = 3<br />11 – 8 = 3<br />12 – 9 = 3<br />Challenging Items: Novel<br />Example 10<br />
31. 31. Challenging Problem: Connection<br />1<br />2<br />3<br />4<br />5<br />6<br />7<br />8<br />9<br />10<br />11<br />12<br />13<br />14<br />15<br />16<br />17<br />18<br />19<br />20<br />21<br />22<br />23<br />24<br />25<br />26<br />27<br />28<br />29<br />30<br />31<br />32<br />33<br />34<br />35<br />36<br />37<br />38<br />39<br />40<br />41<br />42<br />43<br />44<br />45<br />46<br />47<br />48<br />49<br />50<br />51<br />52<br />53<br />54<br />55<br />56<br />Example 11<br />
32. 32. 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.<br />(a) Kay puts the frame on 9 squares as shown in the figure below.<br />3<br />4<br />5<br />11<br />13<br />19<br />20<br />21<br />What is the average of the 8 numbers that can be seen in the frame?<br />
33. 33. 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.<br />(a) Kay puts the frame on 9 squares as shown in the figure below.<br />3+4+5+11+13+19+20 = 96<br />96 ÷ 8 = 12<br />3<br />4<br />5<br />Alternate Method<br />4 x 24 = 96<br />96 ÷ 8 = 12<br />11<br />13<br />19<br />20<br />21<br />What is the average of the 8 numbers that can be seen in the frame?<br />
34. 34. (b) Lin puts the frame on some other 9 squares. <br /> The sum of the 8 numbers that can be seen in the frame is 272.<br /> What is the largest number that can be seen in the frame?<br />1<br />2<br />3<br />4<br />5<br />6<br />7<br />8<br />9<br />10<br />11<br />12<br />13<br />14<br />15<br />16<br />17<br />18<br />19<br />20<br />21<br />22<br />23<br />24<br />25<br />26<br />27<br />28<br />29<br />30<br />31<br />32<br />33<br />34<br />35<br />36<br />37<br />38<br />39<br />40<br />34<br />41<br />42<br />43<br />44<br />45<br />46<br />47<br />48<br />49<br />50<br />51<br />52<br />53<br />54<br />55<br />56<br />
35. 35. Example 13<br />
36. 36.
37. 37. Example 14<br />
38. 38.
39. 39.
40. 40.
41. 41. “Skill proficiencies include the ability to use technology confidently, where appropriate, for exploration and problem solving.”<br />Ministry of Education 2006<br />
42. 42. 32 x 46 = 23 x 64<br />23 is obtained when the digits in 32 are reversed. <br />64 is obtained when the digits in 46 are reversed. <br /> <br />Find three other pairs of 2-digit numbers where AB x CD = BA x DC.<br />Example 15<br />
43. 43. Example 16<br />