Question 1Easier
Which decimal is equivalent to ?
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Answer: B — 0.0075
Multiplying by moves the decimal three places left. Therefore .
Study on the flyISEE UpperMathematics AchievementExponents, powers, roots; scientific notation
Mathematics Achievement
Exponents, powers, roots; scientific notation — ISEE Upper practice questions
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What this topic is
Any nonzero number raised to the zero power equals one, a rule that Exponents, powers, roots; scientific notation questions test alongside negative exponents.
A negative exponent gives a reciprocal, so three to the negative two is one-ninth. Scientific notation with a negative power of ten moves the decimal point to the left: four times ten to the negative two is point zero four. Estimating square roots means finding the perfect squares on either side, so the square root of fifty lies between seven and eight.
Answer choices often place the decimal point one place off, so counting decimal places carefully matters.
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Question 2Easier
Between which two consecutive integers is ?
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Answer: B — 8 and 9
Since and , and 70 is between 64 and 81, is between 8 and 9.
Question 3Easier
What is the value of ?
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Answer: A —
Since and , the sum is .
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More ISEE Upper topics
Mathematics Achievement
- Numbers and operations (factors, multiples, properties)
- Fractions, decimals, and percents; percent change
- Ratios and proportions; distance-rate-time
- Algebraic expressions and solving equations
- Inequalities
- Linear equations and graphs
- Polynomials and function notation
- Plane geometry (polygons, triangles, angles)
- Coordinate geometry (midpoint, distance)
- Solid geometry (surface area, volume)
- Trigonometry
- Measurement and units
- Data analysis and probability
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