Grade 10 Math Skills Assessment

Kai is stacking boxes, and each layer has twice as many boxes as the previous one. If the first layer has 1 box, how many boxes are there in the 5th layer?

• 10

• 25

• 32

• 64

Luna has a collection of books numbered {1, 2, 3, 4}, and Hannah has a collection of books numbered {3, 4, 5, 6}. Which of the following represents the set of books that both Luna and Hannah have?

• {1, 2}

• {3, 4}

• {5, 6}

• {1, 2, 3, 4, 5, 6}

Arjun is designing a rectangular garden. The length of the garden is (x + 3) meters and the width is (x - 2) meters. What is the expanded expression for the area of the garden?

• x^2 + x - 6

• x^2 + 5x + 6

• x^2 - x - 6

• x^2 - 5x + 6

Emma is designing a rectangular garden where the length is x meters and the width is 3 meters less than the length. The area of the garden is x^2 - 9 square meters. Factorise the expression to help Emma find the possible dimensions of her garden.

• (x + 9)(x - 1)

• (x + 3)(x - 3)

• (x - 9)(x + 1)

• (x + 9)(x + 1)

Lily bought 2 notebooks and a pen for $5. If she spent a total of $13, how much did each notebook cost?

• x = 4

• x = 5

• x = 6

• x = 8

Olivia is building a rectangular garden. She places a straight path from one corner of the garden to the opposite corner, forming a right triangle with the sides of the garden measuring 6 cm and 8 cm. What is the length of the path (the hypotenuse)?

• 10 cm

• 12 cm

• 14 cm

• 16 cm

David is building a cube-shaped box with each side measuring 5 cm. What is the volume of the box?

• 25 cm^3

• 100 cm^3

• 125 cm^3

• 150 cm^3

Kai is wrapping a gift box that is shaped like a rectangular prism with a length of 4 cm, a width of 3 cm, and a height of 2 cm. What is the surface area of the box that Kai needs to cover with wrapping paper?

• 24 cm^2

• 52 cm^2

• 48 cm^2

• 36 cm^2

Emma has 2x apples and wants to distribute them equally into 4x² baskets. How many apples does each basket get?

• 1 / 2x

• 2 / x

• x / 2

• 2x

Ava has a collection of marbles: {2, 4, 6, 8}. Evelyn has a different collection: {4, 8, 12}. What is the set of all unique marbles that Ava or Evelyn has?

• {2, 4, 6, 8, 12}

• {4, 8}

• {2, 6, 12}

• {2, 4, 6, 8}