Square Roots
What is √49?
7
Is 64 a perfect square?
Yes, because 8 × 8 = 64.
List all the factors of 12.
1, 2, 3, 4, 6, 12
Write the first five positive multiples of 4.
4, 8, 12, 16, 20
What is 7 × 8?
56
What is √121?
11
Which is not a perfect square: 36, 45, or 49?
45
What are the common factors of 12 and 18?
1, 2, 3, 6
What is the least common multiple (LCM) of 3 and 5?
15
What is 12 × 12?
144
Between which two consecutive whole numbers does √30 lie?
Between 5 and 6, because 25 < 30 < 36.
Is √18 rational or irrational?
Irrational, because 18 is not a perfect square.
Find the greatest common factor (GCF) of 24 and 36.
12
Find the first positive common multiple of 6 and 8.
24
What is 15 × 6?
90
A square has an area of 81 cm². What is the length of one side?
9cm
Between which two consecutive whole numbers does √70 lie?
Between 8 and 9, because 64 < 70 < 81.
You have 20 red counters and 30 blue counters. You want to make the greatest possible number of identical groups, using all the counters. How many groups can you make, and how many of each colour go in each group?
10 groups, with 2 red counters and 3 blue counters in each group.
One bell rings every 4 minutes and another every 6 minutes. If they ring together now, how many minutes until they ring together again?
12 minutes
What is 25 × 16?
400
A square has an area of 50 m². Between which two whole numbers is its side length, and what is its approximate length to the nearest hundredth?
Between 7 and 8. √50 ≈ 7.07 m.
A square has a side length of 6.5 cm. Is its area a perfect square number? Find the area and explain.
Answer: The area is 6.5 × 6.5 = 42.25 cm². No, 42.25 is not a perfect square whole number.
Two ribbons are 48 cm and 60 cm long. They must be cut into equal-length pieces with no ribbon left over. What is the greatest possible length of each piece?
12 cm, because the GCF of 48 and 60 is 12.
A bus arrives every 12 minutes and another every 18 minutes. They arrive together at 9:00 a.m. At what time will they next arrive together?
9:36 a.m., because the LCM of 12 and 18 is 36 minutes.
What is 125 × 8?
1,000