Week 2 - Daily Quiz

Three friends went to an amusement park and split $500 in the ratio 13 : 7 : 5 for their expenses. How much did the person with the largest share get?

• $190

• $260

• $175

• $225

Answer explanation

To find the shares, add the ratio parts: 13 + 7 + 5 = 25. The largest share is 13 parts. Calculate: (13/25)x500 = 260. Therefore the correct answer is $260.

When a $50 item is increased by 20%, the final price is $60. However, when a $60 item is reduced by 20%, the final price is not $50. Why?

• Because the percentage increase and decrease are applied to different base amounts.

• Because 20% of $60 is greater than 20% of $50.

• Because percentage changes only work in one direction.

• Because the $10 difference is lost during the calculation.

Answer explanation

The correct choice is that the percentage increase and decrease are applied to different base amounts. A 20% increase on $50 adds $10, making it $60, while a 20% decrease on $60 subtracts $12, resulting in $48, not $50.

Callum pays $4.10 for his coffee using eight coins. The coins are made up of $1 coins, 50-cent pieces, and 20-cent pieces. How many of each coin did Callum use?

• 5 $1 coins, 1 50-cent piece, 2 20-cent pieces

• 4 $1 coins, 3 50-cent pieces, 1 20-cent piece

• 2 $1 coins, 4 50-cent pieces, 2 20-cent pieces

• 2 $1 coins, 3 50-cent pieces, 3 20-cent pieces

Answer explanation

Callum uses 2 $1 coins (2), 3 50-cent pieces (1.50), and 3 20-cent pieces (0.60). This totals $4.10 with 8 coins, matching the conditions of the problem.

Find the digits represented by the letters in the decimal problem on the left.

• A=2, B=5, C=3, D=8

• A=3, B=9, C=6, D=5

• A=6, B=5, C=1, D=9

• A=0, B=4, C=1, D=7

Answer explanation

The correct digits are A=6, B=5, C=1, D=9, as they satisfy the conditions of the decimal problem. Other options do not fit the required sums or placements.

• 1.5

• 2.25

• 3

• 2.5

Answer explanation

To find the value of 1.5 squared, calculate 1.5x1.5, which equals 2.25. Therefore, the correct answer is 2.25.

A shirt is originally priced at $60. After a 30% discount, what is the price of the shirt?

• $54

• $48

• $42

• $36

Answer explanation

To find the discounted price, calculate 30% of $60, which is (0.3x60) $18. Subtract this from the original price: $60 - $18 = $42. Thus, the price of the shirt after the discount is $42.

In a class, the ratio of boys to girls is 3:5. If there are 15 boys in the class, how many girls are there?

• 20

• 35

• 30

• 25

Answer explanation

The ratio of boys to girls is 3:5. With 15 boys, the original ratio of 3 is multiplied by 5 to find the number of boys. So, to find the number of girls we multiply 5 by 5 which equals 25, meaning there are 25 girls in the class.

Which of these is the largest?

• 0.75

• 0.703