Fractions
(True or False):
1/2 of a cake is the same as 50% of a cake.
True
1/2 means half, and 50% also means half, so they are the same.
How would you write 45 cents as a decimal of a dollar?
$0.45
Quick kid explanation:
1 dollar = 100 cents
45 cents ÷ 100 = 0.45 dollars
MCQ
How many millilitres are in 2 litres?
a. 2 ml
b. 200 ml
c. 2000 ml
d. 20,000 ml
c. 2000 ml
1 litre = 1000 ml → 2 litres = 2 × 1000 = 2000 ml.
(True or False)
A straight line is 180 degrees.
True
A straight line makes a 180° angle.
What is the mode of the following set of numbers?
2, 5, 8, 5, 9, 5?
5
The mode is the number that appears most often.
Here, 5 appears 3 times, more than any other number.
(True or False):
3/4 is larger than 5/8.
True
3/4 = 6/8
6/8 is bigger than 5/8, so 3/4 is larger than 5/8.
(MCQ):
What is 0.5 + 1.25?
A) 1.5
B) 1.7
C) 1.75
D) 1.05
C) 1.75
Step by step:
0.5+1.25=1.75
(MCQ):
Question: What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
A) 15 cm²
B) 50 cm
C) 30 cm
D) 50 cm²
B) 50 cm
Area of rectangle=length×width=10×5=50
(MCQ):
Which shape has only one circular base?
A) Cylinder
B) Cone
C) Sphere
D) Cube
B) Cone
A cone has 1 circular base and a pointed top.
A cylinder has 2 circular bases.
A sphere has no flat bases.
A cube has square faces.
(MCQ):
A bar graph uses bars to show ______?
A) Time
B) Quantity
C) Space
D) Direction
B) Quantity
A bar graph shows how much or how many of something there is.
(MCQ- Fill in the Blanks):
Question: When you multiply 3/5 by 10, the answer is ______.
A. 6
B. 15
C. 10
D. 150
E. None of the above.
A. 6
Step by step:
3/5×10 which is simplified to 3×10/5 broken down to 3×2=6
(MCQ -Fill in the Blanks:)
50% of 200 is ______.
A. 100
B. 20
C. 1000
D. 10
A. 100
Step by step:
50% of 200=0.5×200=100
(Fill in the Blanks):
The perimeter of a triangle with sides of 3 cm, 4 cm, and 5 cm is ______ cm.
a. 12 cm
b. 17 cm
c. 23 cm
d. 13 cm
a. 12 cm
Step by step:
Perimeter=3+4+5=12 cm
MCQ (Fill in the Blanks)
A triangle with all three sides of equal length is called an ______ triangle.
a. scalene
b. isosceles
c. acute
d. equilateral
d. Equilateral
A scalene triangle has all sides of different lengths.
An isosceles triangle has exactly two sides equal, not all three.
C) An acute triangle has all angles less than 90°, this says nothing about side lengths.
D) Equilateral All three sides are equal, which is exactly what the question describes.
(True or False):
The median is always the middle number in a set of data.
True
The median is the middle number when the numbers are arranged in order.
If there’s an even number of numbers, the median is the average of the two middle numbers.
(MCQ):
Convert the mixed number 2 1/4 (2 and 1 over 4) into an improper fraction.
A) 7/4
B) 9/4
C) 11/4
D) 1/24
B) 9/4
Step by step:
Multiply the whole number by the denominator: 2×4=8
Add the numerator: 8+1=9
Keep the same denominator: 9/4
(MCQ)
A shirt costs $60.00. There is a 10% discount. What is the new price of the shirt after the discount?
A. $6.00
B. $0.6
C. $54.00
D. $600.00
C. $54.00
Step by step:
Find 10% of $60 → 0.10×60=6
Subtract the discount → 60−6=54
MCQ
If a train leaves at 2:30 p.m. and arrives at 5:15 p.m., how long was the journey?
a. 3 hours and 15 minutes
b. 3 hours and 45 minutes
c. 2 hours and 15 minutes
d. 2 hours and 45 minutes
d. 2 hours and 45 minutes.
Step by step:
Start time: 2:30 p.m.
End time: 5:15 p.m.
Hours: 5 − 2 = 3 hours
Minutes: 15 − 30 = -15, so borrow 1 hour → 3 − 1 = 2 hours, 60 − 30 + 15 = 45 minutes
(MCQ):
Which of these is a regular polygon?
A) A kite
B) A rectangle
C) A square
D) An octagon with different side lengths
C) A square
A regular polygon has all sides and all angles equal.
A square fits this perfectly.
A kite has unequal sides.
A rectangle has equal angles but sides are not all equal.
An octagon with different side lengths is not regular because sides are not equal.
The average of 12, 10, and 14 is what?
12
Step by step:
Add the numbers: 12+10+14=36
Divide by how many numbers: 36÷3=12
MCQ
A chocolate bar has 12 squares. If you eat 1/3 of the chocolate bar, how many squares did you eat?
A) 3 squares
B) 4 squares
C) 6 squares
D) 9 squares
B) 4 squares
Step by step:
Total squares = 12
Eat 1/3 → 12×1/3=4
(MCQ):
Which decimal is the smallest?
A) 0.12
B) 0.2
C) 0.125
D) 0.21
A) 0.12
Step-by-Step Explanation
Equalize the number of decimal places: The longest decimal in the list is 0.125, which has three decimal places. Let's add zeros to the others so they also have three places.
A) 0.12 becomes 0.120
B) 0.2 becomes 0.200
C) 0.125 stays 0.125
D) 0.21 becomes 0.210
Compare the numbers: Now you can ignore the decimal point and compare the whole numbers:
120
200
125
210
Identify the smallest number: Of these, 120 is the smallest. Therefore, the original decimal 0.12 is the smallest.
MCQ
Question: A kilogram is equal to 1,000 grams. How many grams are in 3.5 kg?
A) 35 g
B) 350 g
C) 3,500 g
D) 35,000 g
C) 3,500 g
Step by step:
3.5 kg×1000=3500
What is the sum of the angles in a triangle?
180 degrees.
The three angles inside any triangle always add up to 180 degrees.
MCQ
A tally chart is used to...
A) Count data quickly.
B) Group data systematically.
C) Display a trend over time.
D) Find the average of a data set.
B) Group data systematically.
The main purpose of a tally chart is to group data systematically by making marks in batches of five. This organization makes the data easier to read and allows for quick counting and analysis. While you do count the data (A), that's a function of the chart's organizational purpose, not its primary role. The other options are incorrect. Tally charts don't show trends over time (C) or help find an average (D).