10 Most Common ISEE Middle-Level Math Questions

☐B. \(65^\circ\)

☐C. \(115^\circ\)

☐D. \(155^\circ\)

8- Two-thirds of 18 is equal to \(\frac{2}{5}\) of what number?

☐A. 60

☐B. 20

☐C. 12

☐D. 30

9- In five successive hours, a car travels 40 km, 45 km, 50 km, 35 km, and 55 km. In the next five hours, it travels with an average speed of 50 km per hour. Find the total distance the car traveled in 10 hours.

☐A. 425 km

☐B. 450 km

☐C. 475 km

☐D. 500 km

10- Mary buys 8 pens for $6. What is the unit rate?

☐A. $0.75 pen

☐B. $0.70 pen

☐C. $0.65 pen

☐D. $0.50 pen

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Answers:

2- D
Let \(x\) be the original price. If the price of a laptop is decreased by \(10\%\) to $360, then:
\(90 \% \space of \space x=360⇒ 0.90x=360 ⇒ x=360÷0.90=400\)

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3- B
\(\frac{2}{5}\) of \(120=\frac{2}{5}×120=48\)
\(\frac{1}{4}\) of \( 48=\frac{1}{4}×48=12\)

4- B
\(\frac{-48×0.5}{6}=-\frac{48×\frac{1}{2}}{6}=-\frac{\frac{48}{2}}{6}=-\frac{48}{12}=-4\)

5- A
If the score of Mia was 60, then Ava’s score of Ava is 30. Since the score of Emma was half that of Ava, therefore, the score of Emma is 15.

6- B
Use the formula for the area of a circle.
Area of a circle \(=πr^2 ⇒ 64 π = πr^2 ⇒ 64 = r^2 ⇒ r = 8\)
The radius of the circle is 8. Now, use the circumference formula:
Circumference \(= 2πr = 2π (8) = 16π\)

7- D
\(x=180^\circ-25^\circ=155^\circ\)

8- D
Let \(x\) be the number. Write the equation and solve for \(x\).
\(\frac{2}{3}×18= \frac{2}{5}\)
\(x ⇒\frac{2×18}{3}=\frac{2x}{5}\), use cross multiplication to solve for?.
\(5×36=2x×3 ⇒180=6x ⇒ x=30\)

9- C
Add the first 5 numbers. \(40 + 45 + 50 + 35 + 55 = 225\)
To find the distance traveled in the next 5 hours, multiply the average by the number of hours.
Distance = Average \(×\) Rate \(= 50 × 5 = 250\)
Add both numbers. \(250 + 225 = 475\)

10- A
Unit rate \(=$\frac{6}{8}=$0.75\)

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