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PSLE Foundation Mathematics

<p>The Maughan Library recently introduced a collection of books, among which $30\%$ are Science Fictions, a half are Historical Documents, and the rest are $60$ Mathematics Literature. Find</p>
<ol class="i-list"><li><div class="list-item-paragraph">the ratio of the number of Science Fictions to that of Mathematics Literature in the simplest form,</div></li><li><div class="list-item-paragraph">the total number of this collection of books.</div></li></ol>
<p>A research team borrows some books of Mathematics Literature, and a Science Fiction club borrows some books of Science Fictions from this batch of collection. Assume the number of Historical Documents does not change. The number of Science Fictions and Historical Documents are now in the ratio of $1 : 2$, while the number of Mathematics Literature and Science Fictions are now in the ratio of $1 : 5$. Find</p>
<ol class="i-list" start="3"><li><div class="list-item-paragraph">the number of Science Fictions borrowed by the Science Fiction club,</div></li><li><div class="list-item-paragraph">the number of Mathematics Literature borrowed by the research team,</div></li><li><div class="list-item-paragraph">the new ratio of the number of Science Fictions, Historical Documents and Mathematics Literature.</div></li></ol>

The Maughan Library recently introduced a collection of books, among which $30\%$ are Science Fictions, a half are Historical Documents, and the rest are $60$ Mathematics Literature. Find

A research team borrows some books of Mathematics Literature, and a Science Fiction club borrows some books of Science Fictions from this batch of collection. Assume the number of Historical Documents does not change. The number of Science Fictions and Historical Documents are now in the ratio of $1 : 2$, while the number of Mathematics Literature and Science Fictions are now in the ratio of $1 : 5$. Find

Reverse Percentages

Changing Ratios

Ratio

Ratio, Rate and Speed

Percentages

<p>A store manager first increased the price of their products by $60\%$, then lowered the price by $20\%$. A customer bought a specific product at $\$160$ as a current price.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Find the original price of the product.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the overall percentage change in the price of this product compared to its original price.</span></div></li></ol>

A store manager first increased the price of their products by $60\%$, then lowered the price by $20\%$. A customer bought a specific product at $\$160$ as a current price.

Find the overall percentage change in the price of this product compared to its original price.

Successive Percentage Changes

 Percentage Change and Reverse Percentage

<p>Amy expected that her monthly income could be increased by $20\%$ this year compared to her monthly income last year, but due to company’s financial situation, her salary was cut down by $15\%$. As a result, Amy’s monthly salary was reduced by $\$1,680$ compared to her expectation.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Find the monthly income of Amy’s in the last year.</span></div></li><li><div class="list-item-content"><span class="list-item-text">When financial situation recovers, the company decides to increase Amy’s monthly income to her expectation. Find the percentage increase in Amy’s monthly income (Correct your answer to $3$ significant figures).</span></div></li></ol>

Amy expected that her monthly income could be increased by $20\%$ this year compared to her monthly income last year, but due to company’s financial situation, her salary was cut down by $15\%$. As a result, Amy’s monthly salary was reduced by $\$1,680$ compared to her expectation.

Find the monthly income of Amy’s in the last year.

When financial situation recovers, the company decides to increase Amy’s monthly income to her expectation. Find the percentage increase in Amy’s monthly income (Correct your answer to $3$ significant figures).

Percentage Increase and Decrease

 Percentages involving Finances: Profit and Loss

<p>During a festive season sale, a store assistant accidentally lowered the price of a dress by $35\%$ instead of lowering it by $20\%$.  As a result, a customer who bought this dress underpaid $\$45$.  </p>
<p>Find the original price of the dress.</p>

During a festive season sale, a store assistant accidentally lowered the price of a dress by $35\%$ instead of lowering it by $20\%$.  As a result, a customer who bought this dress underpaid $\$45$.  

Percentages involving Finances: Discount

Reverse Percentage: Incorrect Discount

<p>A man earns $\$4570$ a month. His pay has increased by $125\%$ in the last $5$ years. </p>
<p>How much did he earn $5$ years ago?</p>

A man earns $\$4570$ a month. His pay has increased by $125\%$ in the last $5$ years. 

Reverse Percentage: Finding the Original Pay

<p>Allysa’s allowance was $\$126$ after it was decreased by $10\%$.  Find her original pocket money.<br><br></p>

Allysa’s allowance was $\$126$ after it was decreased by $10\%$.  Find her original pocket money.



Reverse Percentage: Finding the Original Amount

<p>During a festive season sale, a store assistant accidentally raised the price of digital camera by $15\%$ instead of lowering it by $20\%$.  As a result, a customer who bought this camera was overcharged by $\$161$.</p>
<p>Find the original price of the digital camera.</p>

During a festive season sale, a store assistant accidentally raised the price of digital camera by $15\%$ instead of lowering it by $20\%$.  As a result, a customer who bought this camera was overcharged by $\$161$.

Find the original price of the digital camera.

Reverse Percentage involving Differences

<ol class="abc-list"><li><div class="list-item-paragraph">The cash price of a bed is $\$888$. Joey buys this on an instalment plan. She pays a deposit of one sixth of the cash price. She then pays ${13}$ monthly payments of $\$60$. Calculate the total amount Joey pays for the bed.<span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">Ben pays a monthly rent of $\$3440$. This is $7.5\%$ more than his monthly rent last year.</div><div class="list-item-paragraph">Calculate his monthly rent last year.<span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">The exchange rate between Singapore dollars ($\$$) and euros (€) is $\$1=$€$0.675$. John spends €${350}$ in Paris to buy a bag. Calculate the cost of the bag, in Singapore dollars, correct to the nearest cent.<span class="inline-marks">[2]</span></div></li></ol>

Currency Conversion

Hire Purchase and Instalments

2023 ACSBR EM S1 EOY P2 Q7

<p>A water tank is ${70\%}$ full. ${15\%}$ of the water in the tank is used. There is now ${476}$ litres of water in the tank. Calculate the capacity of the water tank.</p><p style="text-align: right;">[2]</p>

A water tank is ${70\%}$ full. ${15\%}$ of the water in the tank is used. There is now ${476}$ litres of water in the tank. Calculate the capacity of the water tank.

Math Question Bank