In September, Rafael received a monthly salary of $2698 and she saved 20% of it. In December, her salary was reduced by 5% and she continued to save 20% of her salary. How much less was her savings in December compared to that in September? Leave your answer correct to the nearest dollar.
Solution
Sep --> 20% x $2698 = $539.60
5% x 539.6% = $26.98 ~ $27
Answer: $27
Wednesday, April 14, 2010
CHIJ St Nicholas Girls' Sch 2009 P6 SA1 Paper 2 Q10
CHIJ St Nicholas Girls' Sch 2009 P6 SA1 Paper 2 Q9
At a shop, the ratio of the number of stalks of roses to the number of stalks of carnation was 4:5. Mrs Tan sold 176 stalks of carnations and was left with thrice as many stalks of roses as carnations. How many stalks of carnations did she have at first?
Solution
* 'Before' x3 and 'After' x4 to make the Roses have an equal number of units of 12 each because no roses were sold.
Carnations before --> 15 units
Carnations after --> 4 units
15 units - 4 units --> 176 (carnations sold)
11 units --> 176
1 unit --> 176 divided by 11 = 16
15 units --> 15 x 16 = 240
Answer: 240 carnations
CHIJ St Nicholas Girls' Sch 2009 P6 SA1 Paper 2 Q8
Kumar spent $1729 on a set of encyclopedia. H spent 1/4 of the remainder on a camera and still had 2/5 of his money left. Find the total amount of money he had at first.
Solution
3/5 of money --> $1729 + 1 unit
(multiply above by 3)
9/5 of money --> $5187 + 3 units
2/5 of money --> 3 units
9/5 - 2/5 --> $5187 + 3 units - 3 units
7/5 --> $5187
1/5 --> $5187 divided by 7 = $741
5/5 --> 5 x $751 = $3705
Answer: $3705
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CHIJ St Nicholas Girls' Sch 2009 P6 SA1 Paper 2 Q7
The figure below is made up of a square and a rectangle. The perimeter of the figure is 178 cm and the area of the square, PQRS, is 784 square cm. What is the length of ST?
Solution
Square root of 784 square cm = 28 cm (length of 1 side of square)
2 lengths of rectangle --> (178 - 28 - 28 - 28 - 28) cm = 66 cm
1 length --> 66 cm divided by 2 = 33 cm
ST --> 33 cm + 28 cm = 61 cm
Answer: 61 cm
CHIJ St Nicholas Girls' Sch 2009 P6 SA1 Paper 2 Q6
ABE is an isosceles triangle and BCDE is a rhombus. AED is a straight linie. Given that Angle ECG = 16 degrees, find Angle GCD.
Ange BEA --> (180 - 33) divided by 2 = 73.5
Angle BED --> 180 - 73.5 = 106.5
Angle CED --> 106.5 divided by 2 = 53.25
Angle ECD = Angle CED = 53.5
Angle GCD = 53.25 - 16 = 37.25
Answer: 37.25 degrees
CHIJ St Nicholas Girls' Sch 2009 P6 SA1 Paper 2 Q5
The number of visitors to the zoo has been increasing by 8% each year since the year 2003. If the number of visitors in 2003 was 12 500, how many visitors went to the zoo in 2005?
Solution
Yr 2003 --> 12 500
Yr 2004 --> 108% x 12 500 = 13 500
Yr 2005 --> 108% x 13 500 = 14 580
Answer: 14 580 visitors
CHIJ St Nicholas Girls' Sch 2009 P6 SA1 Paper 2 Q4
A department store was offering a promotion for customers who bought T-shirts. Any customer who bought 3-T shirts would get a 50% discount on the 3rd T-shirt. Pamela bought 3 T-shirts and paid an average cost of $11.90 for each T-shirt. Find the orginal price of one T-shirt.
Solution
Original Price of 1 T-shirt --> 2 units
Price of 3rd T-shirt --> 1 unit
2 T-shirts at original price + 1 discounted price T-shirt --> $11.90 (avg)
(2 x 2 units) + 1 unit --> $11.90 x 3 = $37.50 (total)
4 units + 1 unit --> $37.50
5 units --> $37.50
1 unit --> $37.50 divided by 5 = $7.14
2 units --> 2 x $7.14 = $14.28
Answer: $14.28
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CHIJ St Nicholas Girls' Sch 2009 P6 SA1 Paper 2 Q3
Mr Ong had 5 kg or rice. After he sold 5/12 of it, he repacked the remaining rice into smaller packets of 2/3 kg each. How much rice had he left?
Solution
Used 5/12, had 7/12 left.
7/12 left --> 7/12 x 5 kg = 35/12 kg (35 twelfths kg)
Repacked this 35 twelfths kg into packets of 8 twelfths kg (2/3 kg --> 8/12 kg)
35 twelfths divided by 8 packets --> 4 wholes and 3 twelfths
3 twelfths (left unpacked) --> 3/12 --> 1/4 or 0.25
Answer: 1/4 kg or 0.25 kg left
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CHIJ St Nicholas Girls' Sch 2009 P6 SA1 Paper 2 Q2
CHIJ St Nicholas Girls' Sch 2009 SA1 Paper 2 Q2
Evelyn left her house for a concert at 17 55. She took 1 h 5 min to reach the theatre but was 10 minutes late. What time did the concert begin?
Solution
1 h 5 min after 1755 h --> 1900h
10 min before 1900h --> 1850 h
1850h --> 6.50 pm
Answer: 6.50 pm
CHIJ St Nicholas Girls' Sch 2009 P6 SA1 Paper 2 Q1
The table below shows the difference between the digits in some 2-digit numbers.
List all the 2-digit numbers, from 40 to 100, in which the digits have a difference of 3. Arrange them in ascending order.
Answer: 41, 47, 52, 58, 63, 69, 74, 86, 96
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