## Q&A - PSLE Math

### Re: Q&A - PSLE Math

1) Siti, Weiling and Radha baked the same number of cookies each. If Siti gave 44 cookies to Weiling and 80 cookies to Radha, the number of cookies Weiling and Radha have will be 4 times as many as Siti's cookies. How many cookies did each of them bake?

### Re: Q&A - PSLE Math

Let the number of cookies they each baked at first be ululu2014 wrote:1) Siti, Weiling and Radha baked the same number of cookies each. If Siti gave 44 cookies to Weiling and 80 cookies to Radha, the number of cookies Weiling and Radha have will be 4 times as many as Siti's cookies. How many cookies did each of them bake?

Scenario

Siti gave away a total of 124 cookies

Siti is left u - 124

Weiling gain 44,

Weiling will have u + 44

Radha will have u + 80

Total both of them will have 2u + 124

4 X (u-124) = 2u + 124

4u - 496 = 2u + 124

2u = 620

u = 310

### Re: Q&A - PSLE Math

Fruit seller has some apples and pears.

If he sells twice as many pears as the apples, he would have 207 apples left when all pears are sold.

If he sells twice as many apples as the pears, he would have 72 apples left when all pears are sold.

a) How many pears does the fruits seller have?

b) Mrs Tan buys all pears from the seller. The rice is 80cts. For every 3 pears she buys, she gets one more at half the price.

How much does Mrs Tan pay for all pears?

If he sells twice as many pears as the apples, he would have 207 apples left when all pears are sold.

If he sells twice as many apples as the pears, he would have 72 apples left when all pears are sold.

a) How many pears does the fruits seller have?

b) Mrs Tan buys all pears from the seller. The rice is 80cts. For every 3 pears she buys, she gets one more at half the price.

How much does Mrs Tan pay for all pears?

### Re: Q&A - PSLE Math

A repeated pattern is formed using 4 letters A, B, C and D.

The first 16 letters are as follow.

A B C D D C B A A B C D D C B A

How many 'D' are there in the first 125 letters?

The first 16 letters are as follow.

A B C D D C B A A B C D D C B A

How many 'D' are there in the first 125 letters?

### Re: Q&A - PSLE Math

Scenario 1angel wrote:Fruit seller has some apples and pears.

If he sells twice as many pears as the apples, he would have 207 apples left when all pears are sold.

If he sells twice as many apples as the pears, he would have 72 apples left when all pears are sold.

a) How many pears does the fruits seller have?

b) Mrs Tan buys all pears from the seller. The rice is 80cts. For every 3 pears she buys, she gets one more at half the price.

How much does Mrs Tan pay for all pears?

If she sells 2u of pears and she sells 1u of Apple

The number of Apples = 1u + 207

The number of Pears = 2u

Scenario 2

If she sells 2p apples and 1p of pears

The number of Apples = 2p + 72

The number of Pears = 1p

The number of pear we know 2u = 1p. We can subsitute in one of the Apple Equation. I take the 2nd Apples equation

Apples = 2p + 72 = 4u + 72

4u + 72 = 1u + 207 , they are both equations for the number of Apples.

3u = 135

u = 45

a) Pears = 2u = 2(45) = 90##

b)Every fourth pear is half price. So 1st we find how many of these fourth(1/2 price) pear are among the 90 pears.

Number of 1/2 price pear 90/4 roughly round down to 22 pears.

The number of pears are full price = 90-22 = 68

Cost of 1/2 price pears = 22 X 0.4 = $8.80

Cost of full price pear = 68 X 0.8 = $54.4

Total spending = 8.8 +54.4 = $63.20 ###

Last edited by Ender on Mon Aug 15, 2016 9:48 pm, edited 1 time in total.

### Re: Q&A - PSLE Math

Hi , pls help on the below .

The ratio of Alvin's savings to Bernard's savings was 3:11 after

Alvin gave 1/10 of his savings to Bernard . Both later spent the

Same amount of money at a book fair . In the end, the ratio of Alvin's

Savings to Bernard's savings became 1:9 and Bernard had $264

More than Alvin .

A) what was the ratio of Alvin's savings to

Bernard's savings at first ?

B) how much savings did Alvin had at first ?

Thanks & Regards

Fly2High

The ratio of Alvin's savings to Bernard's savings was 3:11 after

Alvin gave 1/10 of his savings to Bernard . Both later spent the

Same amount of money at a book fair . In the end, the ratio of Alvin's

Savings to Bernard's savings became 1:9 and Bernard had $264

More than Alvin .

A) what was the ratio of Alvin's savings to

Bernard's savings at first ?

B) how much savings did Alvin had at first ?

Thanks & Regards

Fly2High

### Re: Q&A - PSLE Math

The pattern repeats after 8 characters. i.eangel wrote:A repeated pattern is formed using 4 letters A, B, C and D.

The first 16 letters are as follow.

A B C D D C B A A B C D D C B A

How many 'D' are there in the first 125 letters?

ABCDDCBA

125/8 = 15 + 5/8

This means there are 15 sets of ABCDDCBA Plus the first 5 character of the set, i.e. ABCDD.

Each set there are two Ds. While the first 5 characters ABCDD includes another two Ds.

Total Ds = 2X 15 + 2 = 32 ##

### Re: Q&A - PSLE Math

In the end, The saving A :B => 1 : 9Fly2high wrote:Hi , pls help on the below .

The ratio of Alvin's savings to Bernard's savings was 3:11 after

Alvin gave 1/10 of his savings to Bernard . Both later spent the

Same amount of money at a book fair . In the end, the ratio of Alvin's

Savings to Bernard's savings became 1:9 and Bernard had $264

More than Alvin .

A) what was the ratio of Alvin's savings to

Bernard's savings at first ?

B) how much savings did Alvin had at first ?

Thanks & Regards

Fly2High

And B has $264 more.

B - A = 264

9u - 1u = 264

8u = 264

u = 33

So in the end

Alvin had $33

Bernard had 9u = $297

Before Spending

Let Spending be p

Alvin has $33 + p = 3n

Bernard has $297 + p = 11n

297 + p - 33 - p = 11n - 3n

264 = 8n

n = 33

So before Spending

Alvin had 3n = $99

Bernard had 11n = $363

a) at first, before ALvin gave 1/10 of his saving to Bernard.

Alvin's

9/10 => $99

10/10 => $110

He gave $11 to Bernard

Bernards = 363 -11 = $352 at first.

Ratio at first =110 : 352 => 5 : 16 ###

b) at first Alvin has $110 ###