Exploring Key Concepts from the 2023 NY 6th Grade Math Test

Vin reviews the 2023 NY state grade 6 math test, solving problems on number lines, equations, surface area, algebraic expressions, least common multiples, order of operations, and more. He explains each solution step-by-step, emphasizing key concepts like the distributive property and PEMDAS, and uses a calculator for complex calculations.

Which point on the number line represents the fraction -1 and 1/3?

• Point R

• Point Q

• Point P

• Point S

What is the surface area of a square pyramid with a base of 8 inches and a slant height of 10 inches?

• 224 square inches

• 160 square inches

• 200 square inches

• 64 square inches

Which expression correctly represents '14 less than the product of 8 and y'?

• 8y + 14

• 14 + 8y

• 14 - 8y

• 8y - 14

If a rectangle's area is 56 square cm and a triangle inside it has an area of 10 square cm, what is the area of the unshaded part?

• 46 square cm

• 66 square cm

• 50 square cm

• 44 square cm

What is 75% of what number if 60 is 75% of it?

• 100

• 120

• 80

• 75

What is the result of simplifying the expression 35 divided by 4?

• 9

• 7.25

• 8.75

• 8.5

If a triangle has a base of 25 feet and a height of 22 feet, what is its area?

• 550 square feet

• 300 square feet

• 250 square feet

• 275 square feet

What is the unit rate of store XYZ if it sells 8 candles for $14?

• $1.25 per candle

• $1.50 per candle

• $2.00 per candle

• $1.75 per candle

How many servings are in a box containing 8 and one-fourth cups of cereal if one serving is three-fourths of a cup?

• 9 servings

• 12 servings

• 11 servings

• 10 servings

What is the volume of a shipping container with a base area of 42 square feet and a height of 5 and three-fourths feet?

• 250 cubic feet

• 300 cubic feet

• 200 cubic feet

• 241.5 cubic feet