20 MATHEMATICS 6+ | THE REAL AND COMPLEX NUMBER SYSTEMS MAP ® for Primary Grades Which is the simplified form of 2 + 3 √ -12? A. 8i √ 3 ✓B. 2 + 6i √ 3 C. -i √ 12 D. 2 - 3i √ 12 E. -4i √ 12 A $30.00 pair of jeans is discounted 20%. If sales tax is 5%, what will be the final price for the jeans? A. $22.80 B. $24.00 C. $24.20 ✓D. $25.20 E. $28.35 Which is closest to √ 10? A. 3.0 ✓B. 3.2 C. 3.5 D. 5.0 The Real and Complex Number Systems Students can apply and extend previous understandings of operations to the real and complex number systems by solving problems involving ratio, rate, proportion, rational numbers, irrational numbers, complex numbers, and the coordinate plane. y x -4 -6 -6 -2-2 -4 -8 -8 4 6 6 2 2 4 8 8 Move the point to the coordinates (-5, 6). Which number line shows how to find the sum of -8 + (-2)? –8 –7 –6 –5 –10 –9 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 –8 –7 –6 –5 –10 –9 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 –8 –7 –6 –5 –10 –9 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 –8 –7 –6 –5 –10 –9 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 A. ✓B. C. D. The sign shows the cost of a bag of apples at Hank’s Fruit Stand. What is the unit price? ✓A. $0.85 per apple B. $0.90 per apple C. $1.10 per apple D. $1.18 per apple $20.40 for a bag of 24 apples 201-210 211-220 221-230 231-240 241-250 above 250

The sign shows the cost of a bag of apples at Hank’s Fruit Stand. What is the unit price? ✓A. $0.85 per apple B. $0.90 per apple C. $1.10 per apple D. $1.18 per apple $20.40 for a bag of 24 apples 201-210 211-220 221-230 231-240 241-250 above 250 21 MATHEMATICS 6+ | GEOMETRY MAP ® for Primary Grades Geometry Students can solve problems involving area, circumference, surface area, volume, and angle measure. They understand congruence and similarity in terms of transformations and apply theorems involving properties of circles and right triangles. ✓A. 157 in. B. 150 in. C. 1570 in. D. 53.14 in. E. 46.86 in. d = 50 in. Use the formulas C = πd with 3.14 as an approximation for pi. Find the circumference of this circle to the nearest inch. A. (-9, -9) ✓B. (-9, -3) C. (-7, -9) D. (-7, -3) Use the graph to answer the question. The triangle is reflected across the y-axis and then reflected across the x-axis. P’ is the image of P after both reflections. What are the coordinates of P’? y x -4 -6 -6 -2-2 -4 -8 -8 -10 4 6 6 2 2 4 8 10 8 Which of these nets would fold into a closed cube? ✓A. B. C. D. E. A. 79 cm2 B. 110 cm2 C. 120 cm2 D. 128 cm2 ✓E. 158 cm2 Calculate the surface area of this rectangular solid. 8 cm 5 cm 3 cm Click on all the transformations that carry the regular octagon onto itself. Reflection over line k Rotation 60° clockwise about P Rotation 90° clockwise about P Reflection over line n k P n P Reflection over line r Reflection over line s s r Rotation 120° clockwise about P Rotation 270° clockwise about P P P What is the actual height of the building? A. 2 m B. 6 m ✓C. 72 m D. 144 m 12 cm Scale: 1 cm = 6 m Use the scale drawing of the building to answer the question. 201-210 211-220 221-230 231-240 241-250 above 250

Reflection over line k Rotation 60° clockwise about P Rotation 90° clockwise about P Reflection over line n k P n P Reflection over line r Reflection over line s s r Rotation 120° clockwise about P Rotation 270° clockwise about P P P What is the actual height of the building? A. 2 m B. 6 m ✓C. 72 m D. 144 m 12 cm Scale: 1 cm = 6 m Use the scale drawing of the building to answer the question. 201-210 211-220 221-230 231-240 241-250 above 250 22 MATHEMATICS 6+ | STATISTICS AND PROBABILITY MAP ® for Primary Grades Diana received scores of 100, 63, 80, 85, and 92 on her math tests. What is her mean (average) score? A. 83 ✓B. 84 C. 85 D. 86 E. 87 Statistics and Probability Students can summarize, represent, and interpret data, including measures of center and variability, and investigate patterns of association in bivariate data. They can understand and evaluate random processes and compute probabilities of events in a uniform probability model. A. 8% B. 16% C. 32% ✓D. 60% At Washington High School, 20% of the teachers coach a sports team, and 12% of the teachers coach a sports team and lead an academic club. If one teacher chosen at random coaches a sports team, what is the probability that this teacher also leads an academic club? A. B. C. ✓D. E. 3 5 3 10 1 13 3 13 5 13 A box contains 13 balls. 3 balls are red, 5 are blue, 4 are orange, and 1 is yellow. What is the probability of picking a red ball? Look at the box-and-whisker plot. Which number represents the median of the data? A. 20 ✓B. 30 C. 32.5 D. 35 E. 45 0 5 10 15 20 25 30 35 40 45 50 55 60 If Sally studies math for 45 minutes a day at home, predict her math grade based on the scatter plot. A. 50 B. 60 ✓C. 70 D. 80 E. 90 0 15 30 45 60 60 70 80 90 100 110 50 75 90 105 Study Time’s Effect on Math Grades Minutes Spend Daily on Math at Home % Grade The table shows family size and recycling information for several different families. Drag the points onto the graph to make a scatter plot of the data. Family Recycling Pounds of Recycling Family Size 3 19 22 22 32 28 18 34 4 5 3 3 5 2 15 20 25 30 35 1 2 3 4 6 5 Family Size Pounds of Recycling 201-210 211-220 221-230 231-240 241-250 above 250