A brand-new set of Grade 6 math practice questions every single day, with the
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1Solve for x: 5x + 6 = 31
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Answer: 5
Isolate the variable: 5x = 25 (undo the addition), then divide both sides by 5 to get x = 5.
2What is the greatest common factor (GCF) of 18 and 36?
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Answer: 18
Find the largest number that divides both 18 and 36 evenly using prime factorization or the Euclidean algorithm: GCF = 18.
3A bag has 4 red marbles, 3 blue marbles, and 3 green marbles. What is the probability of picking a blue marble?
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Answer: 3/10
There are 10 marbles total and 3 are blue, so P(blue) = 3/10.
4Grace has 60 cupcakes to split among 6 people so that everyone gets an equal share, except one person who gets 6 extra cupcakes on top of an equal share. How many cupcakes does that one person end up with?
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Answer: 15
Step 1: what would remain if the extra 6 cupcakes were set aside first (60 − 6) = 54 Step 2: equal share for each of the 6 people from what's left (54 ÷ 6) = 9 Step 3: what the one person with the extra amount actually receives (9 + 6) = 15 So the answer is 15 — that person's total.
5A factory produces 85 toys every 5 hours at a constant rate. What is the unit rate in toys per hour?
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Answer: 17 toys per hour
Divide the total toys (85) by the number of time units (5) to find the unit rate: 85 ÷ 5 = 17 toys per hour.
6A submarine is at an elevation of -120 feet. It rises 45 feet. What is its new elevation?
7Point A is located at (-1, -1) on a coordinate plane. Point B is 4 units to the right of point A, at the same height. What are the coordinates of point B?
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Answer: (3, -1)
Moving right on a coordinate plane increases the x-coordinate while the y-coordinate stays the same: (-1+4, -1) = (3, -1).
8What is the value of 3^3?
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Answer: 27
3^3 means 3 multiplied by itself 3 times: 3 × 3 × 3 = 27.