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MAP Growth Math study materials
MAP Growth Math study resources

MAP Growth Math practice questions

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Question 1Mathematics

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

  1. 3/8 Correct answer.
  2. 5/8
  3. 1/3
  4. 3/5

Explanation

Probability equals the number of favorable outcomes divided by the total number of equally likely outcomes. There are 3 red marbles out of 3 + 5 = 8 marbles, so the probability is 3/8.

Question 2Mathematics

What is the value of 4 + 3 × 2?

  1. 9
  2. 10 Correct answer.
  3. 24
  4. 14

Explanation

Order of operations requires multiplication before addition. Compute 3 × 2 = 6, then add 4 to get 10.

Question 3Mathematics

A rectangle has length 9 cm and width 4 cm. What is its area?

  1. 26 cm²
  2. 36 cm² Correct answer.
  3. 13 cm²
  4. 18 cm²

Explanation

The area of a rectangle is length times width. Multiplying 9 by 4 gives 36 square centimeters.

Question 4Mathematics

Which number is equivalent to 0.75?

  1. 7/50
  2. 7/5
  3. 3/4 Correct answer.
  4. 4/3

Explanation

The decimal 0.75 means 75 hundredths, which simplifies to 3/4 when both parts are divided by 25. Dividing 3 by 4 gives 0.75.

Question 5Mathematics

What is the greatest common factor of 24 and 36?

  1. 12 Correct answer.
  2. 72
  3. 4
  4. 6

Explanation

List factors shared by both numbers: 1, 2, 3, 4, 6, and 12. The largest shared factor is 12.

Question 6Mathematics

A number line shows a point at −3. A second point is 5 units to the right of the first. What is the coordinate of the second point?

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

Explanation

Moving right on a number line means adding. Starting at −3 and adding 5 gives 2.

Question 7Mathematics

What is the mean of the data set 4, 8, 6, 10, 2?

  1. 7
  2. 6 Correct answer.
  3. 8
  4. 5

Explanation

The mean is the sum divided by the count. The sum 4 + 8 + 6 + 10 + 2 = 30, and 30 ÷ 5 = 6.

Question 8Mathematics

Which expression represents the perimeter of a square with side length s?

  1. 4s Correct answer.
  2. s²
  3. s/4
  4. 2s

Explanation

A square has four equal sides, so the perimeter is the sum s + s + s + s, which equals 4s.

Question 9Mathematics

A shirt costs $40 and is on sale for 25% off. What is the sale price?

  1. $10
  2. $15
  3. $30 Correct answer.
  4. $35

Explanation

The discount is 25% of $40, which is $10. Subtracting the discount from the original price gives $40 − $10 = $30.

Question 10Mathematics

Solve for x: 3x − 7 = 14.

  1. x = 3
  2. x = 21
  3. x = 6
  4. x = 7 Correct answer.

Explanation

Add 7 to both sides to get 3x = 21, then divide both sides by 3 to obtain x = 7.

Question 11Mathematics

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

  1. 48
  2. 12
  3. 10 Correct answer.
  4. 14

Explanation

The Pythagorean theorem states that the hypotenuse squared equals the sum of the squares of the legs. Here 6² + 8² = 36 + 64 = 100, and √100 = 10.

Question 12Mathematics

A recipe uses 3 cups of flour for every 2 cups of sugar. If 12 cups of flour are used, how many cups of sugar are needed?

  1. 9
  2. 18
  3. 6
  4. 8 Correct answer.

Explanation

Set up the proportion 3/2 = 12/s. Cross-multiplying gives 3s = 24, so s = 8.

Question 13Mathematics

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

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

Explanation

Slope equals the change in y divided by the change in x. Here (11 − 3)/(6 − 2) = 8/4 = 2.

Question 14Mathematics

A cube has an edge length of 3 cm. What is its volume?

  1. 54 cm³
  2. 27 cm³ Correct answer.
  3. 18 cm³
  4. 9 cm³

Explanation

The volume of a cube is the edge length cubed. Computing 3 × 3 × 3 gives 27 cubic centimeters.

Question 15Mathematics

Simplify the expression 2(x + 4) − 3x.

  1. x + 8
  2. −x + 4
  3. −x + 8 Correct answer.
  4. 5x + 8

Explanation

Distribute the 2 to get 2x + 8, then combine like terms with −3x to obtain −x + 8.

Question 16Mathematics

A bag has 4 green and 6 yellow tiles. Two tiles are drawn without replacement. What is the probability both are green?

  1. 8/45
  2. 4/25
  3. 1/5
  4. 2/15 Correct answer.

Explanation

The first green has probability 4/10 = 2/5. Given that, 3 green remain among 9 tiles, so the second is 3/9 = 1/3. Multiplying gives 2/5 × 1/3 = 2/15.

Question 17Mathematics

The median of a data set is best described as which value?

  1. The sum divided by the count
  2. The most frequently occurring value
  3. The middle value when the data are ordered Correct answer.
  4. The difference between the largest and smallest values

Explanation

The median is the middle value of an ordered data set, or the average of the two middle values when the count is even. It splits the data into two equal halves.

Question 18Mathematics

A line has the equation y = −2x + 5. Which statement about the line is true?

  1. It falls from left to right and crosses the y-axis at −2.
  2. It rises from left to right and crosses the y-axis at 5.
  3. It falls from left to right and crosses the y-axis at 5. Correct answer.
  4. It is horizontal and crosses the y-axis at −2.

Explanation

In slope-intercept form y = mx + b, m is the slope and b is the y-intercept. A slope of −2 means the line decreases from left to right, and b = 5 means it crosses the y-axis at 5.

Question 19Mathematics

A cylinder has a radius of 2 cm and a height of 5 cm. Using π ≈ 3.14, what is its approximate volume?

  1. 62.8 cm³ Correct answer.
  2. 31.4 cm³
  3. 125.6 cm³
  4. 20 cm³

Explanation

The volume of a cylinder is πr²h. Substituting gives 3.14 × 4 × 5 = 62.8 cubic centimeters.

Question 20Mathematics

The sum of two consecutive even integers is 46. What is the smaller integer?

  1. 24
  2. 20
  3. 22 Correct answer.
  4. 23

Explanation

Let the smaller integer be n, so the larger is n + 2. Then 2n + 2 = 46, giving 2n = 44 and n = 22.

Question 21Mathematics

Which value of x satisfies 2x + 3 > 11?

  1. x > 7
  2. x < 7
  3. x < 4
  4. x > 4 Correct answer.

Explanation

Subtract 3 from both sides to get 2x > 8, then divide by 2 to get x > 4. Dividing by a positive number does not flip the inequality.

Question 22Mathematics

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

  1. 1
  2. −11
  3. 5 Correct answer.
  4. 13

Explanation

Substitute −2 for x: 2(−2)² − 3 = 2(4) − 3 = 8 − 3 = 5. Squaring a negative gives a positive result.

Question 23Mathematics

A sequence begins 2, 6, 18, 54, ... What is the next term if the pattern continues?

  1. 216
  2. 72
  3. 162 Correct answer.
  4. 108

Explanation

Each term is 3 times the previous term: 2 × 3 = 6, 6 × 3 = 18, and 18 × 3 = 54. Multiplying 54 by 3 gives 162.

Question 24Mathematics

A cone has a radius of 3 cm and a height of 4 cm. Using π ≈ 3.14, what is its approximate volume?

  1. 150.72 cm³
  2. 113.04 cm³
  3. 37.68 cm³ Correct answer.
  4. 12.56 cm³

Explanation

The volume of a cone is (1/3)πr²h. Substituting gives (1/3) × 3.14 × 9 × 4 = 37.68 cubic centimeters.

Question 25Mathematics

A data set has a mean of 20 and a standard deviation of 4. A value of 32 is how many standard deviations above the mean?

  1. 3 Correct answer.
  2. 2
  3. 4
  4. 12

Explanation

A z-score measures how many standard deviations a value lies from the mean: z = (x − mean)/standard deviation. Here (32 − 20)/4 = 12/4 = 3.

Question 26Mathematics

A store sells notebooks for $2.25 each. A student buys 6 notebooks and pays with a $20 bill. How much change should the student receive?

  1. $7.50
  2. $6.50 Correct answer.
  3. $13.50
  4. $6.75

Explanation

Multiply the unit price by the quantity: 6 × 2.25 = 13.50. Then subtract from the amount paid: 20 − 13.50 = 6.50. The change is $6.50.

Question 27Mathematics

Which number is equivalent to 3/8?

  1. 0.83
  2. 0.267
  3. 0.375 Correct answer.
  4. 0.38

Explanation

Dividing the numerator by the denominator gives 3 ÷ 8 = 0.375 exactly. This is a terminating decimal because 8 has only 2 as a prime factor.

Question 28Mathematics

A rectangle has a length of 12 cm and a width of 7 cm. What is the area of the rectangle?

  1. 38 cm²
  2. 19 cm²
  3. 84 cm² Correct answer.
  4. 42 cm²

Explanation

The area of a rectangle is length times width, so 12 × 7 = 84. The result is expressed in square centimeters because two linear dimensions are multiplied.

Question 29Mathematics

Which list orders the integers from least to greatest: −7, 4, −2, 0?

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

Explanation

On a number line, values increase as you move right, so the most negative number is least. Among −7 and −2, −7 is farther left and therefore smaller. The ascending order is −7, −2, 0, 4.

Question 30Mathematics

A spinner has 5 equal sections labeled 1 through 5. What is the probability of spinning a number greater than 3?

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

Explanation

The numbers greater than 3 are 4 and 5, which is 2 favorable outcomes out of 5 equally likely sections. The probability is therefore 2/5.

Question 31Mathematics

Evaluate the expression 5 + 2 × 3² using the standard order of operations.

  1. 41
  2. 17
  3. 81
  4. 23 Correct answer.

Explanation

Exponents come before multiplication, so 3² = 9. Then multiply 2 × 9 = 18 and add 5 to get 23.

Question 32Mathematics

A triangle has angle measures of 45° and 60°. What is the measure of the third angle?

  1. 65°
  2. 75° Correct answer.
  3. 105°
  4. 85°

Explanation

The interior angles of any triangle sum to 180°. Subtracting the known angles gives 180 − 45 − 60 = 75°.

Question 33Mathematics

Which expression is equivalent to 4(2x − 3)?

  1. 8x + 12
  2. 8x − 12 Correct answer.
  3. 6x − 12
  4. 8x − 3

Explanation

The distributive property multiplies each term inside the parentheses by 4. This gives 4 × 2x = 8x and 4 × (−3) = −12, so the result is 8x − 12.

Question 34Mathematics

A car travels 150 miles in 3 hours at a constant speed. At the same speed, how far will it travel in 5 hours?

  1. 200 miles
  2. 300 miles
  3. 250 miles Correct answer.
  4. 450 miles

Explanation

The unit rate is 150 ÷ 3 = 50 miles per hour. Multiplying by 5 hours gives 50 × 5 = 250 miles.

Question 35Mathematics

A jacket is priced at $80. It is discounted 15%, and then an additional 10% is taken off the reduced price. What is the final price?

  1. $68.00
  2. $62.00
  3. $61.20 Correct answer.
  4. $60.00

Explanation

After the first discount the price is 80 × 0.85 = 68. The second discount applies to $68, giving 68 × 0.90 = 61.20. Successive percent discounts multiply rather than add.

Question 36Mathematics

What is the greatest common factor of 36 and 60?

  1. 6
  2. 4
  3. 12 Correct answer.
  4. 18

Explanation

The prime factorizations are 36 = 2² × 3² and 60 = 2² × 3 × 5. The shared factors give 2² × 3 = 12, which is the greatest common factor.

Question 37Mathematics

A line passes through the point (4, −1) and has a slope of 3. What is the y-intercept of this line?

  1. 13
  2. −1
  3. 11
  4. −13 Correct answer.

Explanation

Using y = mx + b with m = 3 and the point (4, −1): −1 = 3(4) + b, so −1 = 12 + b and b = −13. The y-intercept is (0, −13).

Question 38Mathematics

The system of equations 2x + y = 10 and y = x − 2 is graphed. What is the x-coordinate of the solution?

  1. 2
  2. 6
  3. 8
  4. 4 Correct answer.

Explanation

Substituting y = x − 2 into the first equation gives 2x + (x − 2) = 10, so 3x = 12 and x = 4. Then y = 2, and the point (4, 2) satisfies both equations.

Question 39Mathematics

A bag contains 5 red marbles and 3 blue marbles. One marble is drawn and not replaced, then a second marble is drawn. What is the probability that the first marble is red and the second is blue?

  1. 15/64
  2. 3/8
  3. 5/24
  4. 15/56 Correct answer.

Explanation

The probability of red first is 5/8. After removing a red marble, 3 blue remain among 7 marbles, so blue second is 3/7. Multiplying gives 15/56.

Question 40Mathematics

A data set of 7 values has a mean of 12. A new value of 20 is added to the data set. What is the new mean?

  1. 16
  2. 12
  3. 14
  4. 13 Correct answer.

Explanation

The original total is 7 × 12 = 84. Adding 20 gives 104 across 8 values, so the new mean is 104 ÷ 8 = 13.

Question 41Mathematics

Which equation represents a line parallel to y = (2/3)x + 7?

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

Explanation

Parallel lines in the coordinate plane have equal slopes and different y-intercepts. The given line has slope 2/3, so the parallel line must also have slope 2/3.

Question 42Mathematics

The expression x² − 9 can be factored as which product?

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

Explanation

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

Question 43Mathematics

A right triangle has one leg of length 9 and a hypotenuse of length 15. What is the length of the other leg?

  1. 24
  2. 6
  3. 12 Correct answer.
  4. √306

Explanation

The Pythagorean theorem gives 9² + b² = 15², so b² = 225 − 81 = 144. The positive square root is 12, completing a 9-12-15 triangle.

Question 44Mathematics

A cone has a radius of 5 cm and a height of 9 cm. Using π ≈ 3.14, what is its approximate volume?

  1. 117.75 cm³
  2. 706.5 cm³
  3. 235.5 cm³ Correct answer.
  4. 471 cm³

Explanation

The volume of a cone is (1/3)πr²h, so (1/3)(3.14)(25)(9) = 235.5 cm³. The factor of one-third is what distinguishes a cone from a cylinder.

Question 45Mathematics

A square-based pyramid has a base edge of 6 cm and a height of 8 cm. What is its volume?

  1. 48 cm³
  2. 288 cm³
  3. 192 cm³
  4. 96 cm³ Correct answer.

Explanation

The base area is 6² = 36 cm². The pyramid volume formula gives (1/3)(36)(8) = 96 cm³.

Question 46Mathematics

The function f is defined by f(x) = 3x − 5. For what value of x does f(x) = 16?

  1. 21
  2. 11
  3. 7 Correct answer.
  4. 6

Explanation

Set 3x − 5 = 16, then add 5 to both sides to get 3x = 21. Dividing by 3 gives x = 7, and checking confirms f(7) = 16.

Question 47Mathematics

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

  1. 192
  2. 3072
  3. 768 Correct answer.
  4. 48

Explanation

The nth term of a geometric sequence is a·r^(n−1). Here that is 3 × 4⁴ = 3 × 256 = 768.

Question 48Mathematics

The expression (x² + 5x + 6) ÷ (x + 2) simplifies to which polynomial for x ≠ −2?

  1. x² + 3
  2. x + 6
  3. x + 2
  4. x + 3 Correct answer.

Explanation

Factoring the numerator gives (x + 2)(x + 3). Canceling the common factor x + 2 leaves x + 3, which is valid wherever the original divisor is nonzero.

Question 49Mathematics

A data set is strongly skewed to the right by a few very large values. Which pair of statistics best summarizes its center and spread?

  1. Mean and range
  2. Median and variance
  3. Median and interquartile range Correct answer.
  4. Mean and standard deviation

Explanation

The median and interquartile range depend on positions in the ordered data and are resistant to extreme values. The mean, standard deviation, and range are all pulled or inflated by outliers.

Question 50Mathematics

The quadratic function g(x) = x² − 6x + 5 has its vertex at which point?

  1. (3, 5)
  2. (−3, 32)
  3. (3, −4) Correct answer.
  4. (6, 5)

Explanation

The vertex x-coordinate is −b/(2a) = 6/2 = 3. Evaluating g(3) = 9 − 18 + 5 = −4 gives the vertex (3, −4), which is the minimum since a > 0.