Decimals
What is 0.5 written as a fraction?
5/10 or 1/2
What is the perimeter of a square with side 6cm?
24 cm
What fraction of an hour is 30 minutes?
1/2
What is the smallest multiple of 5?
5
How many tens are there in 43,654?
5
If you add 0.75 + 0.25, what is the sum?
1
A farmer has a rectangular farm of breadth 30 meters and a length of 40 meters. Find the area of this farm.
l = 40m, b = 30m.
Area of rectangle= 40mx30m = 1200 meter2.
Give any 4 equivalent fractions of 3/7
6/14, 9/21, 12/28, 15/35, 18/42, 21/49, 24/56, etc
What is the greatest common factor between 12 and 18?
6
Expand 35,386
30000 + 5000 + 300 + 80 + 6
Round 4.678 to the nearest tenth.
4.7
A rectangle has a length of 5cm and a breadth of 2cm. Find it's area and perimeter.
Given, l=5cm and b=2cm.
Area= lxb= 5cm x 2cm= 10cm2.
Perimeter= l+l+b+b= 2(l + b) = 2(5+2) = 14cm
Convert 15/20 to a percentage.
15 x 5/ 20 x 5 = 75/100 = 75%
What is the lowest common multiple of 6 and 8?
24
Write 5,452 in words.
Five thousand, four hundred and fifty-two.
Convert 3/5 to decimals.
(3x2)/(5x2) = 6/10. Therefore, 3/5 in decimals form = 0.6
The area of square A is 25cm2. Find:
1. Length of the square.
2. Perimeter of the square.
1. Since, Area = length x length and area is 25 cm2. Therefore length = 5cm.
2. Since length = 5cm. Perimeter = 5 + 5 + 5 + 5 = 20cm.
Jack ran 2/3 of a mile, and Jill ran 3/4 of a mile. Who ran farther?
Jill ran farther because 3/4 is greater than 2/3. (Converting to a common denominator: 2/3 = 8/12, 3/4 = 9/12, and 9/12 > 8/12)
A number is divisible by both 3 and 4. What other number must it also be divisible by?
12
What is the difference between place values of 3 and 4 in 2342?
Place value of 3 = 300, place value of 4 = 40. Therefore, the difference between 300 and 40:
300 - 40 = 260.
A rope is 2.75 meters long. Another rope is 3.9 meters long. How much longer is the second rope than the first?
1.15 meters
The perimeter of a rectangle is 32cm. Its breadth is 5cm. Find:
1. Its Length
2. Its Area
1. As we know length + length + breadth + breadth = Perimeter. So, Length = (32cm - 10cm)/2= 11cm
2. Length = 6cm, breadth = 5cm. So, Area = Length x Breadth = 5cm x 11cm= 55cm2.
A recipe calls for 3/4 cup of sugar, but you only have a 1/4 cup measuring spoon. How many times do you need to fill the spoon?
3 times (1/4 + 1/4 + 1/4 = 3/4 or 1/4 x 3 = 3/4)
A number is a multiple of both 8 and 12. What is the smallest possible number it could be?
24
What are the five characteristics of the Number Systems?
1. Every place holds a value
2. Grouping by base 10
3. Zero is a placeholder
4. Additive principle
5. Multiplicative principle