Week 1 - Daily Quiz

What is the number 4,506,739 in expanded form?

• 4 000 000 + 500 000 + 6 000 + 700 + 30 + 9

• 4 000 000 + 500 000 + 6 000 + 70 + 39

• 4 000 000 + 500 000 + 6 000 + 700 + 39

• 4 500 000 + 6 000 + 700 + 30 + 9

Answer explanation

The number 4,506,739 can be broken down into its place values: 4 million (4,000,000), 5 hundred thousand (500,000), 6 thousand (6,000), 7 hundred (700), 30, and 9. Thus, the correct expanded form is 4,000,000 + 500,000 + 6,000 + 700 + 30 + 9.

What is 78,326 rounded to the nearest thousand?

• 78 000

• 79 000

• 77 000

• 80 000

Answer explanation

To round 78,326 to the nearest thousand, look at the hundreds digit (3). Since it's less than 5, we round down to 78,000. Thus, the correct answer is 78,000.

Ethan starts at 2637 and counts backwards by eights. He stops counting when he reaches a number less than 10. What is this final number?

• 9

• 7

• 8

• 5

Answer explanation

Ethan counts backwards from 2637 by eights: 2637, 2629, 2621, ..., until he reaches a number less than 10. Continuing this pattern, he eventually reaches 5, which is the final number before going below 10.

Considering the following table that shows the relationship between x and y, what rule relates them together?

Answer explanation

The correct rule is y=x^2+3x, as it fits the data points in the table. The other options do not match the relationship shown, making this the only valid equation for the given x and y values.

Simplify 5+(8÷2)×−3−7

• -4

• -14

• -10

• -5

Answer explanation

First, calculate inside the brackets in the expression according to BODMAS:
5 + (8 ÷ 2) × -3 - 7
so now the expression becomes:
5 + 4 × -3 - 7

Next, do the multiplication:
4 × -3 = -12,
so now we have:
5 + (-12) - 7, which is the same as 5 - 12 - 7

Now do the addition and subtraction from left to right:
5 - 12 -7 = -7 - 7 = -14

So, the correct answer is -14.

Is 81 a prime number?

• Yes, because it has only two factors: 1 and 81.

• No, because it is divisible by 3.

•  No, because it is divisible by 9.

• No, because it is divisible by both 3 and 9.

Answer explanation

81 is not a prime number because it has multiple factors. It is divisible by both 3 and 9, which means it has more than two factors (1, 3, 9, 27, and 81). Therefore, the correct answer is that it is not prime.

The sum of the squares of two numbers is 130. One number is 9. What is the other number?

• 5

• 7

• 8

• 10

Answer explanation

Let the other number be x. The equation is 9^2 + x^2 = 130. This simplifies to 81 + x^2 = 130. Subtracting 81 gives x^2 = 49. Taking the square root, x = 7. Thus, the other number is 7.

A tap leaks 1 drop per second. If 40 drops equal 10 mL. How many L (Round to the nearest unit) are wasted in 1 day?

• 18

• 21

• 22

• 24

Answer explanation

In 1 day (86400 seconds), the tap leaks 86400 drops. Since 40 drops = 10 mL, 86400 drops = 21600 mL or 21.6 L. Rounding to the nearest unit gives 22 L wasted in 1 day.

A car travels 75 miles in 1.5 hours. Estimate the speed in miles per hour by rounding to the nearest whole number.

• 40 mph

• 45 mph

• 50 mph

• 60 mph

Answer explanation

To find the speed, divide the distance by time: 75 miles ÷ 1.5 hours = 50 mph. Rounding to the nearest whole number gives 50 mph, which is the correct answer.

What is the highest common factor (HCF) of 36 and 60?

• 6

• 12

• 18

• 24

Answer explanation

To find the HCF of 36 and 60, we list their factors. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36, and for 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. The highest common factor is 12.