Nightwater

1. Single-digit addition facts
2. Subtraction facts within 20
3. Two-digit addition with regrouping
4. Two-digit subtraction with borrowing
5. Missing addend / subtrahend
6. Compare two expressions
7. Three-digit add / subtract, multiple regroups
8. Two-step change word problem
9. Balance a number sentence
10. Comparative-language multi-step

Level 10 asksFay has 118 stickers. Ben has 15 more than Fay. Kai has 34 more than Ben. How many stickers does Kai have?

1. Multiplication facts
2. Division facts
3. Missing factor
4. Multiples of 10 and 100
5. Two-digit × one-digit
6. Equal groups and sharing
7. Division with a remainder
8. Two-digit × two-digit
9. Three-digit ÷ one-digit, exact
10. Interpret the remainder

Level 10 asksThere are 132 cupcakes. Each tray holds 10 cupcakes. When as many trays as possible are filled, how many cupcakes are left over?

1. Skip counting forward
2. Arithmetic sequence, any step, either direction
3. Missing middle term
4. Doubling / halving
5. Identify the rule
6. Input–output table
7. Growing steps
8. Alternating two-rule pattern
9. nth term of an arithmetic sequence
10. Position-to-term rule as an expression

Level 10 asksThe pattern is 6, 8, 10, 12, … Which rule gives term n?

1. Value of a digit
2. Compose from place values
3. Compare same-length numbers
4. Round to the nearest 10 or 100
5. Round to the nearest 1,000 or 10,000
6. Estimate a sum or difference
7. Estimate a product
8. Which number rounds to R
9. Place-value jumps with rollover
10. Rounding range

Level 10 asksA whole number rounds to 983,000 at the nearest 1,000. What is the largest it could be? (halfway rounds up)

1. Recognize a multiple
2. Recognize a factor
3. Count factors
4. Prime vs composite
5. Divisibility rules
6. Least common multiple
7. Greatest common factor
8. Prime factorization
9. LCM / GCF word problems
10. GCF × LCM relationship

Level 10 asksTwo numbers have a greatest common factor of 9 and a least common multiple of 495. One of the numbers is 45. What is the other?

1. Name a fraction of a whole
2. Equivalent fractions
3. Compare two fractions
4. Simplify to lowest terms
5. Add / subtract, like denominators
6. Mixed ↔ improper
7. Add / subtract, unlike denominators
8. Multiply / fraction of a quantity
9. Divide fractions
10. Multi-step fraction word problem

Level 10 asksEli's jar of rice was full. Eli used 1/2 of it on Monday, then 1/3 of the rest on Tuesday. What fraction of the rice is left in the jar?

1. Decimal place value
2. Compare decimals
3. Fraction ↔ decimal
4. Add / subtract decimals
5. Multiply and divide decimals
6. Round decimals
7. Percent ↔ decimal ↔ fraction
8. Percent of a quantity
9. Find the percent, find the whole
10. Percent change and successive percents

Level 10 asksA printer costs $280. The price drops 5%, then 30% is added to the new price. What is the final price?

1. Count coins and bills
2. Elapsed time, whole and half hours
3. Metric conversions
4. Making change
5. Elapsed time across the hour
6. Customary and time unit conversions
7. Compare measures in mixed units
8. Multi-step money word problem
9. Elapsed time crossing noon or midnight
10. Unit price and best buy

Level 10 asksWhich is the better buy: 2 apples for $3.70 or 3 apples for $5.82?

1. Write a ratio
2. Simplify a ratio
3. Unit rate
4. Scale a ratio by a whole-number factor
5. Share by a ratio
6. Compare rates
7. Solve a proportion with a non-whole factor
8. Scale drawings and maps
9. Speed, distance and time
10. Inverse proportion

Level 10 asks9 taps take 15 minutes to fill a tank. At the same rate, how long would 3 taps take?

1. Order integers
2. Add integers
3. Subtract integers
4. Multiply and divide integers
5. Order of operations, no grouping
6. Grouping and exponents
7. Absolute value and number-line distance
8. Integer word problems
9. Choose the grouping
10. Negatives with exponents and nesting

Level 10 asksWhat is (−4)² − 10²?

1. Evaluate powers
2. Repeated multiplication ↔ power
3. Perfect square and cube roots
4. Powers of 10 and scientific notation
5. Product and quotient rules
6. Power of a power, zero exponent
7. Negative exponents
8. Estimate irrational roots
9. Simplify radicals
10. Fractional exponents

Level 10 asksWhat is 36^3/2?

1. Substitute and evaluate
2. Words to expression
3. Combine like terms
4. Distributive property
5. One-step equations
6. Two-step equations
7. Variables on both sides
8. Word problem to equation
9. Equations with grouping
10. Consecutive integers and ages

Level 10 asksFive consecutive whole numbers add up to 275. What is the smallest?

1. Equations with a fraction or a decimal
2. Literal equations
3. Linear inequalities, with the flip
4. Compound inequalities
5. Absolute value equations
6. Systems by elimination
7. How many solutions
8. Inequality word problem
9. System word problem
10. Absolute value inequalities

Level 10 asksSolve |5x + 15| < 50.

1. Shape and angle names
2. Perimeter
3. Area of rectangles and squares
4. Angle sums
5. Parallel lines and a transversal
6. Area of a triangle, parallelogram and trapezoid
7. Circles
8. Composite shapes
9. Volume and surface area
10. The Pythagorean theorem

Level 10 asksA right triangle has legs 10 m and 15 m. How long is the hypotenuse? Give your answer in simplest radical form.

1. Quadrants and axes
2. Translate a point
3. Horizontal and vertical distance
4. Midpoint
5. Slope from two points
6. Read slope and y-intercept
7. Point on a line?
8. Line through two points
9. Distance formula
10. Parallel and perpendicular lines

Level 10 asksWhich line is parallel to y = (−4/3)x − 4 and passes through (12, −1)?

1. Mean
2. Median, mode and range
3. Single-event probability
4. Complement, certain and impossible
5. Missing value from a mean
6. Independent compound events
7. Counting principle
8. Without replacement
9. Expected count and experimental probability
10. Permutations and combinations

Level 10 asksA club has 7 members. 3 of them are chosen for a committee. Order does not matter. How many different committees are possible?

1. Adding and subtracting polynomials
2. Multiplying out
3. Special products
4. Factoring: common factor, and x² + Bx + C
5. Factoring: a ≠ 1, and the difference of two squares
6. Solving by factoring
7. Vertex and axis of symmetry
8. Square roots and completing the square
9. Discriminant and the quadratic formula
10. Quadratic word problems

Level 10 asksA garden bed is 11 m longer than it is wide. Its area is 350 m². How wide is it?

1. Evaluating a function
2. Domain and range
3. Composition
4. Inverse functions
5. Transformations
6. Exponential growth and decay
7. Exponential and logarithmic form
8. Logarithm properties
9. Solving exponential equations
10. Solving logarithmic equations

Level 10 asksSolve log₂ (x + 2) + log₂ (x − 2) = 5.

1. Name the sides
2. Trig ratios from sides
3. Find a side
4. Find an angle
5. Special angles, exact
6. Elevation and depression
7. Radians, degrees and arc length
8. Unit circle and reference angles
9. Law of sines and law of cosines
10. Trig equations on [0°, 360°)

Level 10 asksSolve 6 cos x − 3 = 0 for 0° ≤ x < 360°.

1. Arithmetic sequence, nth term
2. Geometric sequence, nth term
3. Arithmetic series
4. Geometric series, finite and infinite
5. Sigma notation
6. Recursive sequences
7. Rational functions: asymptotes
8. Remainder and factor theorems
9. Average rate of change and the difference quotient
10. Binomial theorem

Level 10 asksWhat is the coefficient of x³ in (3x − 2)⁷?

1. Limits by substitution
2. 0/0 limits by factoring
3. Limits at infinity
4. Power rule
5. Product and quotient rules
6. Chain rule
7. Tangent lines
8. Critical points and extrema
9. Indefinite integrals
10. Definite integrals (FTC)

Level 10 asksWhat is ∫₁³ (−2x² + 3x + 9) dx?