2022 Y6 MATH W11 ADDITIONAL PRACTICE

One hundred fifteen students took the university qualifying test. The median score of the bottom 40 students is 74 and the top 65 students all scored 78 on the test. What is the median score of the 115 students who took the qualifying test? A. 74 B. 75 C. 76 D. 77 E. 78  

A mint produces gold and silver coins only. The mint produces each gold coin at a uniform weight and produces each silver coin at a uniform weight. The combined weight of two gold coins and three silver coins is 1/3 the combined weight of eight gold coins and five silver coins. The weight of one silver coin is how many times that of the weight of one gold coin? A. 1/2 B. 2/3 C. 1 D. 3/2 E. 2  

The average (arithmetic mean) score of all the women who took the test is 66 points, and the average score of all the men who took the test is 72 points. If the average score of all the people who took the test is 70 points, what is the ratio of the number of women to the number of men who took the test? A. 1 to 1 B. 1 to 2 C. 2 to 2 D. 2 to 3 E. 3 to 2  

An edge of a cube measures 3 centimetres. All the sides of the cube are then painted black and the cube is sliced into 1-cubic centimetre cubes. How many of the 1-cubic centimetre cubes will have exactly one of their sides painted black?   A. 6 B. 9 C. 12 D. 15 E. 18  

The perimeter of a rectangle is 40 centimetres and its area is 84 square centimetres. What is the length of one of the longer sides of the rectangle?   A. 6 centimetres B. 12 centimetres C. 14 centimetres D. 24 centimetres E. 28 centimetres  

The figure below shows the floor plan of Mina’s basement. If all angles are right angles and all measurements are as noted in the figure above, what is the perimeter of Mina’s basement? A. 21 metres B. 24 metres C. 26 metres D. 29 metres E. 32 metres  

The figure below shows that four straight lines can have at most 6 points of intersections. What is the greatest number of points of intersection of five straight lines?   A. 9 B. 10 C. 12 D. 15 E. 20  

The numerator of a fraction is 2 less than its denominator. If both the numerator and the denominator of the fraction are each increased by 2, the resulting fraction is equal to 3/4. What is the value of the original fraction?   A. 3/5 B. 4/6 C. 5/7 D. 8/10 E. 10/12  

The average length of six ribbons is 80 centimetres. If the average length of one-third of the ribbons is 70 centimetres, what is the average length of the remaining ribbons?   A. 75 centimetres B. 85 centimetres C. 90 centimetres D. 94 centimetres E. 100 centimetres  

Ruby drew two rectangles. The larger rectangle she drew has twice the lengths and four times the width of the smaller rectangle. If the area of the smaller rectangle is K square units, then the area of the larger rectangle is how much greater than the area of the smaller rectangle?   A. 2K square units B. 6K square units C. 7K square units D. 8K square units E. 12K square units  

William has won three times as many gold medals as silver medals in the event. If William has only won gold and silver medals in the event, which of the following cannot be the number of medals he has won?   A. 96 medals B. 80 medals C. 72 medals D. 68 medals E. 54 medals  

Joey got a 25 percent discount on the original price of an electric oven and only paid $240. What was the original price of the electric oven?   A. $180 B. $300 C. $320 D. $360 E. $400  

A squirrel can collect 16 nuts in 10 seconds. At this rate, how many nuts can the squirrel collect in 72 seconds?   A. 45 nuts B. 78 nuts C. 86 nuts D. 99 nuts E. 115 nuts  

A box contains tokens colored blue, red, green, and yellow. The chances of randomly drawing a blue token from the box are 1/8. The chances of randomly drawing a red token from the box are 1/5. The chances of randomly drawing a green token from the box are 1/10. If the box cannot contain more than 50 tokens, how many yellow tokens are in the box?   A. 17 yellow tokens B. 20 yellow tokens C. 23 yellow tokens D. 24 yellow tokens E. 25 yellow tokens  

Ben can stack 2 surfboards in 3 minutes and Dave can stack 3 surfboards in 2 minutes. Working at their respective constant rates, how long will it take both of them working together to stack 26 surfboards?   A. 10 minutes B. 12 minutes C. 13 minutes D. 22 minutes E. 24 minutes  

  In the figure above, the area of the yellow region is 12 square centimetres. The sum of the length of a side of the bigger square and a side of the smaller square is 6 centimetres. What is the perimeter of the bigger square?   A. 8 centimetres B. 12 centimetres C. 16 centimetres D. 24 centimetres E. 48 centimetres  

Fifty Percent of 140 is 1/6 times greater than what number? A. 50 B. 70 C.60 D. 80 E. 65    

The figure above is a rectangle. The area of the green section in the rectangle is what percent of the total area of the rectangle?   A. 80 percent B. 66 percent C. 60 percent D. 40 percent E. 32 percent  

Rupert jogged 8 kilometres at a rate of 2 kilometres per hour and then ran 24 kilometres at a rate of 6 kilometres per hour. What was Rupert’s average speed for the entire run?   A. 4 kilometres per hour B. 5 kilometres per hour C. 6 kilometres per hour D. 7 kilometres per hour E. 8 kilometres per hour  

Jane only took four subjects last semester. Her goal was to get an average (arithmetic mean) grade of 85 in the four subjects she took. If her grade in three of the four subjects are 77, 84, and 92, what is the lowest possible grade she could earn on the last subject and still meet her goal?   A. 80 B. 85 C. 87 D. 90 E. 92  

Michael can do the job by himself in 10 days. After working on the job by himself for three days, Jake joins him, and together they work for four days to finish the job. How many days would it take if Jake do the job by himself?   A. 3 days B. 4 2/3 days C. 6 days D. 7 days E. 13 1/3 days  

The lengths of the two sides of a triangle are 6 centimetres and 9 centimetres. Which of the following can be the length of the third side? I. 3 centimetres II. 10 centimetres III. 15 centimetres   A. II only B. III only C. I and II only D. II and III only E. I, II, and III  

Tom and Andrew started running from the plaza at the same time. Tom ran towards the library and Andrew ran towards the museum. Tom took 3 hours to complete his journey and Andrew took 4 hours to complete his journey. If the distance between the plaza and the library was 6 kilometers and the distance between the plaza and the museum was 3 kilometers, what is the ratio between the average speed that Tom ran to the average speed that Andrew ran?   A. 8 to 3 B. 5 to 3 C. 8 to 5 D. 5 to 8 E. 3 to 8

One face of a rectangular solid measures 8 metres by 15 metres. If the total surface area of the rectangular solid is 1 160 square metres, what is the area of the largest face of the rectangular solid?   A. 700 square metres B. 300 square metres C. 160 square metres D. 120 square metres E. 20 square metres  

A vendor has 150 vases. The vendor was able to sell 1/3 of the vases at a 5 percent profit, another 1/3 of the vases at zero profit, and the remainder of the vases at a 10 percent loss. If a vase sold at a loss had a price of $9, how much total profit or total loss did the vendor make after selling all 150 vases?   A. A $35 loss B. A $25 loss C. No profit or loss D. A $20 profit E. A $30 profit  

Abe has 20 more marbles than Bryan but has half as many marbles as Fred. If the three of them have a total of 180 marbles, how many marbles does Abe have?   A. 30 marbles B. 40 marbles C. 50 marbles D. 80 marbles E. 100 marbles  

Ruben, George, and Harry decided to pool their money and buy a 45-dollar video game. Ruben paid 2/5 of what Harry paid, George paid $17, and Harry paid the remaining amount. What fraction of the total amount of the video game did Harry pay?   A. 2/9 B. 14/45 C. 1/3 D. 2/5 E. 4/9  

Agnes has 50 percent fewer dolls than Miriam. Miriam has 30 percent more dolls than Sally. If Sally has 80 dolls, how many dolls does Agnes have?   A. 32 dolls B. 48 dolls C. 52 dolls D. 56 dolls E. 64 dolls

The average (arithmetic mean) of 7, 8, 10, and 11 equals the average of 2, 9, 13, and N. What is the value of N?   A. 7 B. 9 C. 10 D. 12 E. 13  

The time on the analog clock reads 5 o’clock. What is the degree measure of the angle formed from the minute-hand of the clock to the hour-hand of the clock, turning clockwise?   A. 50° B. 60° C. 90° D. 120° E. 150°  

A bag contains 18 red tokens and 22 black tokens only. What is the probability that a random token selected from the bag will be red?   A. 1/10 B. 9/20 C . 11/20 D. 9/11 E. 11/9  

The length of a rectangle is 18 centimetres and the width is 8 centimetres. What is the length of a side of a square that has the same area as the rectangle?   A. 8 centimetres B. 9 centimetres C. 10 centimetres D. 12 centimetres E. 15 centimetres  

In 10 years, Noel will be as old as Peter now. Thirty years ago, Peter was twice as old as Noel. How old is Noel today?   A. 20 years old B. 30 years old C. 40 years old D. 50 years old E. 60 years old  

The average (arithmetic mean) mass of seven boxes is 85 kilograms.

If two more boxes are added, one with a mass of 110 kilograms and a second with a mass of 60 kilograms, what will be the average mass of the nine boxes?

A. 75 kilograms

B. 80 kilograms

C. 85 kilograms

D. 90 kilograms

E. 92 kilograms