Grade 7 Quiz

Q1: XYZ Factory exceeded its output capacity by 15% and built 230 widgets. How many widgets were originally planned to be built? 195.5 200 264.5 250

Q2: Average of two numbers is 185. Dividing the first number by the second yields 2 with the remainder of 40. Find both numbers. x=240, y=130 x=165, y=205 x=260, y=110 x=100, y=270

Q3: Sum of digits of a 2-digit number is 11. If the number is divided by the difference of the 2 digits, the result is 24 with a remainder of 2. Find the number. 38 83 47 74

Q4: An alloy compound weighing 140 tons of 2 different steel alloys is made. The first steel alloy contains 5% nickel and the second 40%. How much should each alloy weigh, if the resulting compound contains 30% nickel? 40 ton and 100 ton 60 ton and 80 ton 65 ton and 75 ton 55 ton and 85 ton

Q5: Two points are drawn some distance away from each other and a ruler is used to draw a line segment through them. Then the ruler is flipped and another line segment is drawn through the 2 points. What law in geometry can be used to verify that the ruler is straight? Law of parallel lines Law of collinear line segments 2 points can be connected by 1 line only The power of a point theorem

Q6: What is the value of n in the following equation: 8 9 10 11

Q7: One packet contained 3 times more flour than another. 4kg of flour was removed from the 1st packet and 2kg poured into the 2nd packet. As a result, there was an equal amount of flour in each packet. What was the weight of the 1st packet at the beginning? 15kg 6kg 9kg 12kg

Q8: Which points belong to the graph y=x² + 5? A(7,49) B(4,21) C(4,17) D(20,400)

Q9: 4 lines were drawn in such a way that every pair of lines intersects and no 3 lines intersect at a given point. How many points of intersection are there? 4 6 8 10

Q10: A line is intersected by 4 other lines. How many different numbers of points of intersection are possible? 1, 2, 4 1, 2, 3, 4 1, 3, 4 1, 4

Q11: Lines AB, CD & MK intersect at point O. ∠AOC = 70°, ∠MOB = 15°. Find the measures of angles DOK, AOM & COB. 90°, 170°, 100° 100°, 160°, 120° 95°, 185°, 110° 95°, 165°, 110°

Q12: What is the relationship between lines y=2x+5 and y=-½x-2 A) The two lines are parallel B) The two lines are collinear C) The two lines intersect and they are perpendicular to each other D) The two lines do not intersect

Q13: Lines y=ax+b; and y=dx+e must intersect when: b is not equal to e b is equal to e a is not equal to d a is equal to d

Q14: Solve the statement, below, in the most efficient way: 5/7 1 1/2 2

Q15: Solve the statement, below, in the most efficient way: 1 2 ½ ¼

Q16: Solve the statement, below, in the most efficient way: 1 a¹² 49a¹² 49a⁶

Q17: Logical Olga wrote a 3-digit number. She, then, added up all its digits to form a 2-digit number and wrote down the answer. Continuing to add up the digits of the 2-digit number, she formed a 1-digit decimal and wrote it down. All three numbers are written below using shapes. Note that when the digits were the same, so were the shapes. Try to figure out which shape stands for which number. Write the values for each number, separated by commas. 616, 13, 4 525, 12, 3 616, 13, 3 929, 20, 2

Q18: At a party there were 4 boys and 4 girls. Boys only danced with girls and girls only danced with boys. At the end of the evening each person was asked how many people they had danced with. The boys gave the answers 3, 1, 2, 2 and three of the girls answered 2. Which answer did the fourth girl give? 𝕆 1 2 3

Q19: Find the area of the parallelogram ABCD if AB = 13 cm, AD = 16 cm, and ∠B = 150°. 98 cm² 102 cm² 104 cm² 108 cm²

Q20: Find all points of intersection of y = 3x – 1 and y = x² – 1: (3,8) (-3,8) (0,1) (1,1) (0,-1) (2,4)

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Grade 7 Assessment