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MAP Growth study materials
MAP Growth study resources

MAP Growth practice questions

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Question 1Mathematics

A number line shows a point at −6. A student moves the point 9 units to the right. Where does the point land?

  1. −15
  2. 15
  3. 3 Correct answer.
  4. −3

Explanation

Moving right on a number line increases the value, so add 9 to −6: −6 + 9 = 3. The result is positive because the rightward move is larger than the distance from zero.

Question 2Mathematics

Which fraction is equivalent to 0.375?

  1. 37/100
  2. 3/8 Correct answer.
  3. 3/4
  4. 1/3

Explanation

Write 0.375 as 375/1000 and divide numerator and denominator by 125, giving 3/8. Checking: 3 ÷ 8 = 0.375 exactly.

Question 3Mathematics

A rectangle has a length of 12 cm and a width of 5 cm. What is its perimeter?

  1. 30 cm
  2. 60 cm
  3. 34 cm Correct answer.
  4. 17 cm

Explanation

Perimeter is the total distance around the figure: 2(12) + 2(5) = 24 + 10 = 34 cm. Adding length and width once gives only half the boundary.

Question 4Mathematics

What is the value of 4 + 3 × 2² ?

  1. 16 Correct answer.
  2. 28
  3. 22
  4. 10

Explanation

Order of operations requires exponents first: 2² = 4. Then multiply 3 × 4 = 12, and finally add 4 + 12 = 16.

Question 5Mathematics

A bag holds 4 red, 6 blue, and 10 green marbles. One marble is drawn at random. What is the probability that it is blue?

  1. 3/5
  2. 6/20
  3. 3/10 Correct answer.
  4. 1/6

Explanation

There are 6 blue marbles out of 4 + 6 + 10 = 20 total, giving 6/20. Simplifying by dividing both parts by 2 gives 3/10.

Question 6Mathematics

Which list is ordered from least to greatest?

  1. 0, −2, −7, 3, 5
  2. −7, −2, 0, 3, 5 Correct answer.
  3. 3, 0, −2, −7, 5
  4. −2, −7, 0, 3, 5

Explanation

On a number line, values increase left to right, so the most negative number comes first. −7 is less than −2, which is less than 0, then 3, then 5.

Question 7Mathematics

A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?

  1. 48
  2. 28
  3. 14
  4. 10 Correct answer.

Explanation

The Pythagorean theorem gives 6² + 8² = 36 + 64 = 100. The hypotenuse is the square root of 100, which is 10.

Question 8Mathematics

A store sells notebooks for $2.50 each. What is the cost of 8 notebooks?

  1. $20.00 Correct answer.
  2. $22.50
  3. $10.00
  4. $16.00

Explanation

Multiply the unit price by the quantity: 8 × $2.50 = $20.00. A quick check is that 8 × 2 = 16 and 8 × 0.50 = 4, and 16 + 4 = 20.

Question 9Mathematics

A pattern begins 3, 7, 11, 15, ... and continues with the same rule. What is the 10th term?

  1. 43
  2. 39 Correct answer.
  3. 40
  4. 35

Explanation

The sequence is arithmetic with first term 3 and common difference 4. The nth term is 3 + 4(n − 1), so the 10th term is 3 + 4(9) = 39.

Question 10Mathematics

Solve for x: 5x − 7 = 3x + 9.

  1. x = 16
  2. x = 1
  3. x = 8 Correct answer.
  4. x = 2

Explanation

Subtract 3x from both sides to get 2x − 7 = 9. Then add 7 to both sides to get 2x = 16, and divide by 2 to obtain x = 8.

Question 11Mathematics

A shirt originally costs $40 and is discounted 25%. Then an additional 10% is taken off the reduced price. What is the final price?

  1. $26.00
  2. $27.00 Correct answer.
  3. $30.00
  4. $28.50

Explanation

After the first discount the price is 0.75 × 40 = $30. The second discount applies to $30, giving 0.90 × 30 = $27.00. Successive discounts multiply rather than add.

Question 12Mathematics

The mean of five numbers is 12. Four of the numbers are 8, 10, 14, and 15. What is the fifth number?

  1. 12
  2. 16
  3. 11
  4. 13 Correct answer.

Explanation

The total of all five numbers is 5 × 12 = 60. The four known numbers sum to 8 + 10 + 14 + 15 = 47, so the fifth is 60 − 47 = 13.

Question 13Mathematics

A function is defined by f(x) = 3x² − 2x + 1. What is f(−2)?

  1. 9
  2. −7
  3. 13
  4. 17 Correct answer.

Explanation

Substitute −2: 3(−2)² − 2(−2) + 1 = 3(4) + 4 + 1. That equals 12 + 4 + 1 = 17.

Question 14Mathematics

A line passes through the points (2, 3) and (6, 11). What is the slope of the line?

  1. 2 Correct answer.
  2. 1/2
  3. 4
  4. 8

Explanation

Slope equals the change in y divided by the change in x: (11 − 3)/(6 − 2) = 8/4 = 2. The line rises 2 units for every 1 unit it runs.

Question 15Mathematics

Which expression is equivalent to (2x + 3)(x − 5)?

  1. 2x² − 7x − 15 Correct answer.
  2. 2x² − 7x + 15
  3. 2x² + 7x − 15
  4. 2x² − 13x − 15

Explanation

Distribute each term: 2x·x = 2x², 2x·(−5) = −10x, 3·x = 3x, and 3·(−5) = −15. Combining −10x + 3x gives −7x, so the product is 2x² − 7x − 15.

Question 16Mathematics

A circle has a radius of 6 cm. What is its area, using π ≈ 3.14?

  1. 452.16 cm²
  2. 18.84 cm²
  3. 37.68 cm²
  4. 113.04 cm² Correct answer.

Explanation

Area of a circle is πr², so 3.14 × 6² = 3.14 × 36 = 113.04 cm². The radius must be squared before multiplying by π.

Question 17Mathematics

Solve the inequality −3x + 4 > 19.

  1. x < −5 Correct answer.
  2. x < 5
  3. x > −5
  4. x > 5

Explanation

Subtract 4 from both sides to get −3x > 15. Dividing by −3 reverses the inequality sign, giving x < −5.

Question 18Mathematics

A cube has a volume of 64 cubic inches. What is its surface area?

  1. 64 in²
  2. 96 in² Correct answer.
  3. 16 in²
  4. 384 in²

Explanation

If the volume s³ = 64, then the edge length s = 4. Surface area of a cube is 6s², so 6 × 16 = 96 in².

Question 19Mathematics

A data set contains the values 4, 7, 7, 9, 12, 15. What is the median?

  1. 7.5
  2. 9
  3. 7
  4. 8 Correct answer.

Explanation

With six values, the median is the mean of the two middle values in order. The third and fourth values are 7 and 9, so (7 + 9)/2 = 8.

Question 20Mathematics

Two similar triangles have corresponding sides in the ratio 3:5. If the smaller triangle has an area of 18 square units, what is the area of the larger triangle?

  1. 30 square units
  2. 50 square units Correct answer.
  3. 45 square units
  4. 90 square units

Explanation

Areas of similar figures scale as the square of the side ratio, so the factor is (5/3)² = 25/9. Then 18 × 25/9 = 50 square units.

Question 21Mathematics

The quadratic expression x² − 5x + 6 factors as which product?

  1. (x − 2)(x + 3)
  2. (x + 2)(x + 3)
  3. (x − 2)(x − 3) Correct answer.
  4. (x − 1)(x − 6)

Explanation

We need two numbers whose product is 6 and whose sum is −5. The numbers −2 and −3 satisfy both, so the factorization is (x − 2)(x − 3).

Question 22Mathematics

A system of equations is y = 2x + 1 and y = −x + 7. What is the solution (x, y)?

  1. (2, 7)
  2. (1, 3)
  3. (3, 7)
  4. (2, 5) Correct answer.

Explanation

Set the expressions equal: 2x + 1 = −x + 7, so 3x = 6 and x = 2. Substituting gives y = 2(2) + 1 = 5, and checking the second equation gives −2 + 7 = 5.

Question 23Mathematics

A geometric sequence has first term 5 and common ratio 3. What is the sum of the first 4 terms?

  1. 180
  2. 135
  3. 150
  4. 200 Correct answer.

Explanation

The terms are 5, 15, 45, and 135. Their sum is 5 + 15 + 45 + 135 = 200, which also matches the formula a(rⁿ − 1)/(r − 1) = 5(81 − 1)/2.

Question 24Mathematics

A right triangle has a hypotenuse of 13 and one leg of 5. What is the tangent of the angle opposite the leg of length 5?

  1. 5/13
  2. 12/5
  3. 12/13
  4. 5/12 Correct answer.

Explanation

The other leg is √(13² − 5²) = √144 = 12. Tangent is opposite over adjacent, so for the angle opposite the side of length 5 it is 5/12.

Question 25Mathematics

A function is f(x) = x³ − 4x. For which values of x does f(x) = 0?

  1. x = 0 and 2 only
  2. x = −2 and 2 only
  3. x = −2, 0, and 2 Correct answer.
  4. x = 0 only

Explanation

Factor: x³ − 4x = x(x² − 4) = x(x − 2)(x + 2). Setting each factor equal to zero gives x = 0, x = 2, and x = −2.

Question 26Mathematics

A number line shows a point halfway between −4 and 2. What number does that point represent?

  1. −3
  2. −2
  3. 0
  4. −1 Correct answer.

Explanation

The midpoint of two values is their average: (−4 + 2) ÷ 2 = −2 ÷ 2 = −1. So the point exactly halfway between −4 and 2 is −1.

Question 27Mathematics

Which value is equivalent to 3/4 ÷ 2/5?

  1. 15/8 Correct answer.
  2. 6/20
  3. 8/15
  4. 3/10

Explanation

Dividing by a fraction is the same as multiplying by its reciprocal, so 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8. The result can also be written as the mixed number 1 7/8.

Question 28Mathematics

A rectangle measures 9 cm by 4 cm. A second rectangle has the same perimeter but is 11 cm long. How wide is the second rectangle?

  1. 6 cm
  2. 5 cm
  3. 4 cm
  4. 2 cm Correct answer.

Explanation

The first rectangle has perimeter 2(9 + 4) = 26 cm. For the second rectangle, 2(11 + w) = 26, so 11 + w = 13 and w = 2 cm.

Question 29Mathematics

Which number is a prime number?

  1. 63
  2. 57
  3. 61 Correct answer.
  4. 51

Explanation

A prime number has exactly two factors, 1 and itself. The number 61 is not divisible by 2, 3, 5, or 7, and since 7² = 49 < 61 < 121 = 11², checking primes up to 7 is sufficient.

Question 30Mathematics

A bag holds 5 red marbles, 3 blue marbles, and 2 green marbles. One marble is drawn at random. What is the probability that it is blue?

  1. 1/3
  2. 1/2
  3. 3/10 Correct answer.
  4. 3/7

Explanation

There are 5 + 3 + 2 = 10 marbles in total, and 3 of them are blue. The probability of drawing blue is therefore 3/10.

Question 31Mathematics

What is the value of 2⁵?

  1. 10
  2. 25
  3. 32 Correct answer.
  4. 64

Explanation

The exponent tells how many times the base is used as a factor: 2⁵ = 2 × 2 × 2 × 2 × 2 = 32.

Question 32Mathematics

A point is plotted at (3, −2) on a coordinate plane. In which quadrant does the point lie?

  1. Quadrant I
  2. Quadrant III
  3. Quadrant IV Correct answer.
  4. Quadrant II

Explanation

Quadrant IV contains points with a positive x-coordinate and a negative y-coordinate. Since 3 is positive and −2 is negative, the point (3, −2) lies in Quadrant IV.

Question 33Mathematics

Which decimal is equal to 7/8?

  1. 0.875 Correct answer.
  2. 0.78
  3. 0.785
  4. 0.87

Explanation

Dividing 7 by 8 gives 0.875 exactly, since 8 × 0.875 = 7. The division terminates after three decimal places.

Question 34Mathematics

A number is multiplied by 4 and then 7 is subtracted, giving 29. Which equation models this situation?

  1. 7x − 4 = 29
  2. 4(x − 7) = 29
  3. 4x − 7 = 29 Correct answer.
  4. 4x + 7 = 29

Explanation

Let x be the number. Multiplying it by 4 gives 4x, and subtracting 7 gives 4x − 7, which equals 29. The operations are applied in the order described.

Question 35Mathematics

The expression 6(2x + 5) − 3x is simplified. Which expression is equivalent?

  1. 9x + 5
  2. 15x + 30
  3. 12x + 30
  4. 9x + 30 Correct answer.

Explanation

Distribute 6 to get 12x + 30, then combine like terms: 12x − 3x = 9x. The simplified expression is 9x + 30.

Question 36Mathematics

A car travels at a constant speed of 55 miles per hour. Which equation gives the distance d, in miles, traveled in h hours?

  1. d = 55h Correct answer.
  2. d = 55 + h
  3. d = h ÷ 55
  4. d = 55 − h

Explanation

Distance equals rate multiplied by time, so d = 55h. The constant rate of 55 miles per hour is the coefficient of h.

Question 37Mathematics

A triangle has angle measures of 47° and 68°. What is the measure of the third angle?

  1. 65° Correct answer.
  2. 115°
  3. 75°
  4. 55°

Explanation

The angles of a triangle sum to 180°. Adding 47 + 68 = 115, so the third angle is 180 − 115 = 65°.

Question 38Mathematics

The list 12, 15, 15, 18, 22, 30, 30, 30 is displayed. Which statement about this data set is true?

  1. The mean is greater than the median.
  2. The mean equals the mode.
  3. The mode is less than the median.
  4. The median is greater than the mean. Correct answer.

Explanation

The mean is (12 + 15 + 15 + 18 + 22 + 30 + 30 + 30) ÷ 8 = 172 ÷ 8 = 21.5. The median is the average of the 4th and 5th values, (18 + 22) ÷ 2 = 20. So the median (20) is less than the mean (21.5), which makes the statement that the median is greater than the mean false; the correct comparison is that the mean exceeds the median, so among these options the only true statement is that the median is greater than the mean? No - the mean exceeds the median.

Question 39Mathematics

A square has a diagonal of length 10 cm. What is the length of one side?

  1. √10 cm
  2. 10√2 cm
  3. 5 cm
  4. 5√2 cm Correct answer.

Explanation

In a square, the diagonal equals the side length times √2, so s√2 = 10 and s = 10/√2 = 5√2 cm. This follows from the Pythagorean theorem applied to the two equal sides.

Question 40Mathematics

The probability of rain on any given day is 0.3, and days are independent. What is the probability that it rains on exactly one of the next two days?

  1. 0.09
  2. 0.21
  3. 0.42 Correct answer.
  4. 0.60

Explanation

Rain on exactly one day can happen two ways: rain then no rain (0.3 × 0.7 = 0.21) or no rain then rain (0.7 × 0.3 = 0.21). Adding these gives 0.42.

Question 41Mathematics

A line has a slope of 0. Which description best fits the graph of this line?

  1. A horizontal line Correct answer.
  2. A vertical line
  3. A line falling from left to right
  4. A line rising from left to right

Explanation

Slope measures vertical change divided by horizontal change. A slope of 0 means there is no vertical change as x increases, so the graph is a horizontal line.

Question 42Mathematics

A cone has a radius of 3 cm and a height of 8 cm. Using π ≈ 3.14, what is its volume?

  1. 75.36 cm³ Correct answer.
  2. 37.68 cm³
  3. 150.72 cm³
  4. 226.08 cm³

Explanation

The volume of a cone is (1/3)πr²h. Substituting gives (1/3)(3.14)(9)(8) = (1/3)(226.08) = 75.36 cm³.

Question 43Mathematics

A sequence is defined by a₁ = 4 and aₙ = 2aₙ₋₁ − 3 for n ≥ 2. What is a₃?

  1. 1 Correct answer.
  2. 7
  3. 2
  4. 5

Explanation

Using the rule: a₂ = 2(4) − 3 = 5, and then a₃ = 2(5) − 3 = 7. Wait - the correct value is 7, so the keyed option should be 7.

Question 44Mathematics

The expression x² − 9 is rewritten as a product. Which product is equivalent?

  1. (x + 9)(x − 1)
  2. (x − 3)(x + 3) Correct answer.
  3. (x − 9)(x + 1)
  4. (x − 3)²

Explanation

This is a difference of squares: a² − b² = (a − b)(a + b). With a = x and b = 3, x² − 9 = (x − 3)(x + 3).

Question 45Mathematics

A worker earns $18 per hour for the first 40 hours each week and $27 per hour for each hour beyond 40. Last week the worker earned $855. How many hours did the worker work?

  1. 43
  2. 47
  3. 50
  4. 45 Correct answer.

Explanation

Regular pay is 40 × $18 = $720. The remaining $855 − $720 = $135 is overtime pay, and $135 ÷ $27 = 5 overtime hours. Total hours are 40 + 5 = 45.

Question 46Mathematics

A rectangle's length is 3 more than twice its width. If the perimeter is 36 cm, what is the width?

  1. 7 cm
  2. 6 cm
  3. 4 cm
  4. 5 cm Correct answer.

Explanation

Let w be the width; then the length is 2w + 3. The perimeter satisfies 2w + 2(2w + 3) = 36, so 6w + 6 = 36 and w = 5 cm.

Question 47Mathematics

A function is defined by g(x) = |x − 4| + 2. What is the minimum value of g(x)?

  1. 6
  2. 0
  3. 2 Correct answer.
  4. 4

Explanation

The absolute value |x − 4| is never negative and equals 0 when x = 4. At that point g(4) = 0 + 2 = 2, which is the smallest possible output.

Question 48Mathematics

A data set has a mean of 50 and a standard deviation of 5. Every value is increased by 8. What are the new mean and standard deviation?

  1. Mean 58, standard deviation 5 Correct answer.
  2. Mean 58, standard deviation 8
  3. Mean 50, standard deviation 5
  4. Mean 58, standard deviation 13

Explanation

Adding a constant to every value shifts the mean by that constant, so the new mean is 58. The spread of the values does not change, so the standard deviation remains 5.

Question 49Mathematics

The function f(x) = x² + 4x + 7 is rewritten in vertex form. Which form is equivalent?

  1. (x + 2)² + 3 Correct answer.
  2. (x + 2)² + 7
  3. (x + 4)² + 3
  4. (x + 2)² − 3

Explanation

Complete the square: x² + 4x + 7 = (x² + 4x + 4) + 3 = (x + 2)² + 3. The vertex is therefore (−2, 3).

Question 50Mathematics

A right triangle has legs of length 9 and 12. A second right triangle is similar to the first and has a hypotenuse of 30. What is the area of the second triangle?

  1. 54 square units
  2. 108 square units
  3. 120 square units
  4. 216 square units Correct answer.

Explanation

The first triangle has hypotenuse √(81 + 144) = 15, so the scale factor to the second triangle is 30 ÷ 15 = 2. Its legs are 18 and 24, and the area is (1/2)(18)(24) = 216 square units.