GPS Grade 4 Sample Questions

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Delilah Simon
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1 The has developed sample questions, in a multiple choice format, to illustrate the types of questions that might be seen on a standardized test such as the CRCT. These are not intended to be a comprehensive means of assessment; instead teachers should use a variety of methods and strategies for assessing students. Tasks within the GPS frameworks along with additional resources including textbooks also offer a diverse assortment of assessments. Unit 1: Numeration M4N1. Students will further develop their understanding of how whole numbers are represented in the base-ten numeration system. a. Identify place value names and places from hundredths through one million. b. Equate a number s word name, its standard form, and its expanded form. M4N2. Students will understand and apply the concept of rounding numbers. a. Round numbers to the nearest ten, hundred, or thousand. b. Describe situations in which rounding numbers would be appropriate and determine whether to round to the nearest ten, hundred, or thousand. c. Understand the meaning of rounding a decimal fraction to the nearest whole number. d. Represent the results of computation as a rounded number when appropriate and estimate a sum or difference by rounding numbers. M4N7. Students will explain and use properties of the four arithmetic operations to solve and check problems. a. Describe situations in which the four operations may be used and the relationships among them. b. Compute using the order of operations, including parentheses. c. Compute using the commutative, associative, and distributive properties. d. Use mental math and estimation strategies to compute. M4N2 d 1. The attendance for weekend performances of a concert was 1,994 for Friday night, 2,041 for Saturday night, and 1,991 for Sunday night. Which is the BEST estimate of the concerts' total attendance? A. 2,000 B. 4,000 C. 6,000 D. 8,000 M4N7 b 2. In football, a touchdown earns 6 points and a field goal earns 3 points. If a team scored 5 touchdowns and 1 field goal, which number sentence below could be used to determine the number of points the team earned? A = B. (5 x 3) + 3 = C. (6 x 3) + 5 = D. (5 x 6) + 3 = M4N1 b 3. Shannon read that fourteen thousand nine hundred eighty-seven people live in Dukes County. Which of the following is another way to write this number? A. 10, , B. 14,000,987 C. 14 x x D March 10, 2008 Page 1 of 13

2 Unit 1: Numeration M4N1. Students will further develop their understanding of how whole numbers are represented in the base-ten numeration system. a. Identify place value names and places from hundredths through one million. b. Equate a number s word name, its standard form, and its expanded form. M4N2. Students will understand and apply the concept of rounding numbers. a. Round numbers to the nearest ten, hundred, or thousand. b. Describe situations in which rounding numbers would be appropriate and determine whether to round to the nearest ten, hundred, or thousand. c. Understand the meaning of rounding a decimal fraction to the nearest whole number. d. Represent the results of computation as a rounded number when appropriate and estimate a sum or difference by rounding numbers. M4N7. Students will explain and use properties of the four arithmetic operations to solve and check problems. a. Describe situations in which the four operations may be used and the relationships among them. b. Compute using the order of operations, including parentheses. c. Compute using the commutative, associative, and distributive properties. d. Use mental math and estimation strategies to compute. M4N7 b 4. Which of the following goes in the box to make the statement below true? ( ) + 92 = A (167 x 92) B ( ) C. ( ) + ( ) D. 167 ( ) M4N5 b 5. Which number goes into the box to make the statement true? A. 7 B. 6 C. 3 D. 8 March 10, 2008 Page 2 of 13

3 Unit 2: Multiplication and Division of Whole Numbers M4N3. Students will solve problems involving multiplication of 2-3 digit numbers by 1-2 digit numbers. M4N4. Students will further develop their understanding of division of whole numbers and divide in problem solving situations without calculators. a. Know the division facts with understanding and fluency. b. Solve problems involving division by a 2-digit number (including those that generate a remainder). c. Understand the relationship between dividend, divisor, quotient, and remainder. d. Understand and explain the effect on the quotient of multiplying or dividing both the divisor and dividend by the same number. ( yields the same answer as 205 5). M4N7 a 1. Ernesto drove his car 257 miles on 8.3 gallons of gasoline. What operation is needed to find the number of miles he drove for each gallon of gas he used? A. + B. C. D. M4N3 2. Maurice drinks four 8-ounce glasses of milk every day. How many pints of milk does he drink each day? A. 2 pints B. 4 pints C. 16 pints D. 32 pints M4N4 c 3. Mr. Lopez solved the division problem below on the chalkboard. Which of the following could Mr. Lopez use to check his answer? A. 7 X 42 B. 36 X 7 C. 36 X 252 D. 252 X 7 March 10, 2008 Page 3 of 13

4 Unit 2: Multiplication and Division of Whole Numbers M4N3. Students will solve problems involving multiplication of 2-3 digit numbers by 1-2 digit numbers. M4N4. Students will further develop their understanding of division of whole numbers and divide in problem solving situations without calculators. a. Know the division facts with understanding and fluency. b. Solve problems involving division by a 2-digit number (including those that generate a remainder). c. Understand the relationship between dividend, divisor, quotient, and remainder. d. Understand and explain the effect on the quotient of multiplying or dividing both the divisor and dividend by the same number. ( yields the same answer as 205 5). M4N4 b 4. The table below shows the total cost for different numbers of tickets to a special show at a water park. Each ticket costs the same amount. What is the total cost for 12 tickets to the show? A. $48 B. $44 C. $36 D. $24 M4N3 5. Rufus bought 6 items at the mall. No item cost more than $5 or less than $2. Which of the following could be the total cost of the 6 items Rufus bought? A. $7 B. $10 C. $22 D. $31 March 10, 2008 Page 4 of 13

5 Unit 3: Geometry and Measurement M4G1. Students will define and identify the characteristics of geometric figures through examination and construction. a. Examine and compare angles in order to classify and identify triangles by their angles. b. Describe parallel and perpendicular lines in plane geometric figures. c. Examine and classify quadrilaterals (including parallelograms, squares, rectangles, trapezoids, and rhombi). d. Compare and contrast the relationships among quadrilaterals. M4G2. Students will understand fundamental solid figures. a. Compare and contrast a cube and a rectangular prism in terms of the number and shape of their faces, edges, and vertices. b. Describe parallel and perpendicular lines and planes in connection with the rectangular prism. c. Construct/collect models for solid geometric figures (cube, prisms, cylinder, etc.). M4M1. Students will understand the concept of weight and how to measure it. a. Use standard and metric units to measure the weight of objects. b. Know units used to measure weight (gram, kilogram, ounces, pounds and tons). c. Compare one unit to another within a single system of measurement. M4M2. Students will understand the concept of angles and how to measure it. a. Use tools, such as a protractor or angle ruler, and other methods such as paper folding, drawing a diagonal in a square, to measure angles. b. Understand the meaning and measure of a half rotation (180 ) and a full rotation (360 o ). M4G1 c 1. Which quadrilateral has exactly one pair of parallel sides? A. square B. rectangle C. rhombus D. trapezoid M4G1 d 2. A given parallelogram has 4 congruent sides and one pair of opposite acute angles. What is the correct name for this parallelogram? A. trapezoid B. rectangle C. rhombus D. square M4G1 b 3. Ms. Crow glued 4 white cubes together as shown below. Then she painted the entire figure red. How many faces of the 4 cubes were painted red? A. 4 B. 9 C. 18 D. 24 M4M1 a 4. About how much does an apple weigh? A. 4 grams B. 4 kilograms C. 4 ounces D. 4 pounds March 10, 2008 Page 5 of 13

6 Unit 3: Geometry and Measurement M4G1. Students will define and identify the characteristics of geometric figures through examination and construction. a. Examine and compare angles in order to classify and identify triangles by their angles. b. Describe parallel and perpendicular lines in plane geometric figures. c. Examine and classify quadrilaterals (including parallelograms, squares, rectangles, trapezoids, and rhombi). d. Compare and contrast the relationships among quadrilaterals. M4G2. Students will understand fundamental solid figures. a. Compare and contrast a cube and a rectangular prism in terms of the number and shape of their faces, edges, and vertices. b. Describe parallel and perpendicular lines and planes in connection with the rectangular prism. c. Construct/collect models for solid geometric figures (cube, prisms, cylinder, etc.). M4M1. Students will understand the concept of weight and how to measure it. a. Use standard and metric units to measure the weight of objects. b. Know units used to measure weight (gram, kilogram, ounces, pounds and tons). c. Compare one unit to another within a single system of measurement. M4M2. Students will understand the concept of angles and how to measure it. a. Use tools, such as a protractor or angle ruler, and other methods such as paper folding, drawing a diagonal in a square, to measure angles. b. Understand the meaning and measure of a half rotation (180o) and a full rotation (360 o ). M4M1 b 5. Which unit could be used to measure the mass of a pencil? A. centimeters B. grams C. liters D. degrees March 10, 2008 Page 6 of 13

7 Unit 4: Coordinate Geometry and Graphs M4G3. Students will use the coordinate system. a. Understand and apply ordered pairs in the first quadrant of the coordinate system. b. Locate a point in the first quadrant in the coordinate plane and name the ordered pair. c. Graph ordered pairs in the first quadrant. M4D1. Students will gather, organize, and display data according to the situation and compare related features. a. Represent data in bar, line and pictographs. b. Investigate the features and tendencies of graphs. c. Compare different graphical representations for a given set of data. d. Identify missing information and duplications in data. M4D1 c 1. Each time Rosa takes her dog for a checkup, Dr. Azim records the dog's weight. Which of the following is the best way for the doctor to record the dog's weight at each checkup in order to see any changes in the weight? A. pictograph B. tally chart C. line graph D. circle graph M4G3 b 2. Look at the grid below. What is the ordered pair at point M? A. (3, 4) B. (3, 6) C. (4, 5) D. (5, 4) March 10, 2008 Page 7 of 13

8 Unit 5: Fractions and Decimals M4N5. Students will further develop their understanding of the meaning of decimal fractions and use them in computations. a. Understand decimal fractions are a part of the base-ten system. b. Understand the relative size of numbers and order two digit decimal fractions. c. Add and subtract both one and two digit decimal fractions. d. Model multiplication and division of decimal fractions by whole numbers. e. Multiply and divide both one and two digit decimal fractions by whole numbers. M4N6. Students will further develop their understanding of the meaning of common fractions and use them in computations. a. Understand representations of simple equivalent fractions. b. Add and subtract fractions and mixed numbers with common denominators. (Denominators should not exceed twelve.) c. Convert and use mixed numbers and improper fractions interchangeably. M4N5 c 1. Elena's uncle took her and three cousins to the ice cream store. The cousins each ordered milkshakes for $1.40 each and Elena had a double dip of peach ice cream that cost $1.25. What was the total cost of the order? A.$2.65 B. $4.45 C. $5.45 D. $6.45 M4N5 e 2. It takes Tomas about 2 hours to deliver the 57 newspapers on his route. He earns $0.10 for each newspaper he delivers. About how much does Tomas make per hour? A. $8.00 B. $6.00 C. $3.00 D. $2.00 M4N6 a 3. The fractions are in order from least to greatest. Which fraction should go in the box? 1/4, 2/3,, 5/6 A. 1/2 B. 1/3 C. 3/4 D. 11/12 March 10, 2008 Page 8 of 13

9 Unit 5: Fractions and Decimals M4N5. Students will further develop their understanding of the meaning of decimal fractions and use them in computations. a. Understand decimal fractions are a part of the base-ten system. b. Understand the relative size of numbers and order two digit decimal fractions. c. Add and subtract both one and two digit decimal fractions. d. Model multiplication and division of decimal fractions by whole numbers. e. Multiply and divide both one and two digit decimal fractions by whole numbers. M4N6. Students will further develop their understanding of the meaning of common fractions and use them in computations. a. Understand representations of simple equivalent fractions. b. Add and subtract fractions and mixed numbers with common denominators. (Denominators should not exceed twelve.) c. Convert and use mixed numbers and improper fractions interchangeably. M4N2 d 4. A weather forecaster checked and emptied a rain gauge six times one day. The measurements in inches were 0.243, 0.595, 0.903, 0.756, 0.398, and Which is the best estimate of the total rainfall that day? A. 2.0 in. B. 2.5 in. C. 3.0 in. D. 3.5 in. M4N6 a 5. Duncan put blue marbles and green marbles in a bag. Exactly ¾ of the marbles in the bag are blue. Which of the following could be the total number of marbles in the bag? A. 3 B. 6 C. 7 D. 8 M4N5 e 6. Miguel wants to buy 2 bags of potato chips. Each bag of potato chips costs $2.70. If he uses a coupon for $1.00 off the price of one bag, how much will Miguel owe for the 2 bags of potato chips? A. $1.69 B. $4.40 C. $7.07 D. $8.07 M4N5 b 7. Which point on the number line below best represents 0.8? A. point A B. point B C. point C D. point March 10, 2008 Page 9 of 13

10 Unit 6 : Algebra M4A1. Students will represent and interpret mathematical relationships in quantitative expressions. a. Understand and apply patterns and rules to describe relationships and solve problems. b. Represent unknowns using symbols, such as and Δ. c. Write and evaluate mathematical expressions using symbols and different values. M4A1 a 1. The first four figures in a pattern are shown below. If the pattern continues this way, how many blocks are needed to make 6 steps? A. 15 B. 18 C. 21 D. 23 M4A1 a 2. The table below shows the fees that a video store charges for returning a video late. For the data in the table, which of the following could be a rule for calculating the late fee? A. $1.00 for each day late B. $0.50 for each day late C. $0.50 for the first day late, and $1.00 for each additional day late D. $1.00 for the first day late, and $0.50 for each additional day late March 10, 2008 Page 10 of 13

Unit 6 : Algebra M4A1. Students will represent and interpret mathematical relationships in quantitative expressions. a. Understand and apply patterns and rules to describe relationships and solve problems.

11 Unit 6 : Algebra M4A1. Students will represent and interpret mathematical relationships in quantitative expressions. a. Understand and apply patterns and rules to describe relationships and solve problems. b. Represent unknowns using symbols, such as and Δ. c. Write and evaluate mathematical expressions using symbols and different values. M4A1 c 3. The pictograph below shows the amount of money each fourth-grade class raised for an animal shelter. If Mr. Powell's class raised $20 and Mr. Roper's class raised $30, how much money does one represent? A. $1 B. $4 C. $5 D. $20 M4A1 a 4. The table below shows the number of milligrams of sodium in each of three different sizes of a soft drink. Based on the pattern in the table, what is the total number of milligrams of sodium in a 24-fluid-ounce cup of the soft drink? A. 90 mg B. 108 mg C. 126 mg D. 144 mg March 10, 2008 Page 11 of 13

12 Unit 6 : Algebra M4A1. Students will represent and interpret mathematical relationships in quantitative expressions. a. Understand and apply patterns and rules to describe relationships and solve problems. b. Represent unknowns using symbols, such as and Δ. c. Write and evaluate mathematical expressions using symbols and different values. M4A1 a 5. The first ten shapes in a pattern are shown below. Lionel is making the pattern by repeating the first six shapes in the same order as shown in the picture. If Lionel continues the pattern in the same way, what will be the 16th shape in the pattern? A. B. C D. March 10, 2008 Page 12 of 13

13 Unit 6 : Algebra M4A1. Students will represent and interpret mathematical relationships in quantitative expressions. a. Understand and apply patterns and rules to describe relationships and solve problems. b. Represent unknowns using symbols, such as and Δ. c. Write and evaluate mathematical expressions using symbols and different values. M4A1 a 6. The first four figures in a pattern are shown. If the pattern continues to double the number of dots, what will be the total number of dots in the 6th figure in the pattern? A. 128 B. 64 C. 32 D. 14 March 10, 2008 Page 13 of 13

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