Number and Place Value
(MCQ):
Which of the following numbers is the smallest even number that can be formed using the digits 7, 3, 0, 9 and 2?
A) 20,397
B) 20,790
C) 23,790
D) 30,792
B) 20,790
To make the smallest number, the smallest digit (2) must be in the highest place value. The number must end with an even digit, so either 0 or 2 must be at the end. To make the number as small as possible, you arrange the smallest remaining digits in the next highest place values (0, 7, 9) and end with the next smallest even digit (0).
(Fill in the Blanks):
The sum of 350 and 475 is _______.
825
Add the two numbers together: 350+475=825.
(True or False):
A shape that can be folded in half so that both sides match exactly has at least one line of symmetry.
True
A line of symmetry is a line that divides a shape into two identical mirror images. If a shape can be folded in half so that both sides match perfectly, the fold line itself is a line of symmetry. This means the shape has at least one line of symmetry.
(MCQ):
What is the range of the following set of numbers: 10, 2, 15, 7, 20?
A) 10
B) 18
C) 20
D) 7
18
The range is the difference between the highest and lowest values in a dataset. In this set, the highest value is 20 and the lowest is 2. The range is 20−2=18.
(Fill in the Blanks):
The decimal equivalent of 1/4 is _______.
0.25
To convert a fraction to a decimal, you can divide the numerator by the denominator. 1÷4=0.25.
(True or False):
875,321 rounded to the nearest thousand is 876,000
False
To round to the nearest thousand, you look at the hundreds digit, which is '3'. Since '3' is less than 5, you round down, keeping the thousands digit as '5'. The correct answer is 875,000.
(True or False):
The product of 12 and 8 is 98.
False
The term "product" means the result of multiplying two or more numbers.
To find the product of 12 and 8, you simply multiply them together: 12×8=96. Therefore, the statement that the product is 98 is incorrec
MCQ
Which of the following shapes has exactly two lines of symmetry?
A) A square
B) A circle
C) A regular hexagon
D) A rectangle
D) A rectangle
Explanation: A rectangle has two lines of symmetry: one that runs horizontally through the middle and one that runs vertically through the middle. A square has four, a circle has infinite, and a regular hexagon has six.
(MCQ):
A survey shows that students' favourite colours are: Red (15), Blue (10), and Green (5). If a pictogram uses a happy face to represent 5 students, how many happy faces would you draw for the students who chose Red?
A) 1
B) 2
C) 3
D) 4
3
To find the number of happy faces, divide the number of students who chose red by the value of each happy face: 15÷5=3.
(True or False):
0.75 is equivalent to 75%.
True
To convert a decimal to a percentage, you multiply by 100. 0.75×100=75%.
(Fill in the Blanks):
The number that is 100,000 more than 3,925,000 is __________.
4,025,000
When you add 100,000 to 3,925,000, you are adding to the hundred thousands place value. The '9' in the hundred thousands place becomes '10', so you must carry over to the millions place, making it 4,025,000.
(MCQ):
What is the difference between 900 and 255?
A) 755
B) 655
C) 645
D) 545
C) 645
The term "difference" in mathematics means the result of a subtraction.
To find the difference between 900 and 255, you subtract 255 from 900:
900−255=645.
(Fill in the Blanks):
The perimeter of a regular octagon with a side length of 5 cm is _______ cm.
40
Explanation: A regular octagon has eight equal sides. To find the perimeter, you multiply the side length by the number of sides. 8×5 cm=40 cm.
(MCQ):
A store has 5 boxes of pencils. Each box contains 12 pencils. If they sell 30 pencils, how many are left?
A) 30
B) 60
C) 90
D) 12
60
First, find the total number of pencils: 5×12=60. Then, subtract the number of pencils sold: 60−30=30. The number of pencils left is 30.
(MCQ):
What is the value of the digit '3' in the number 5.138?
A) Three ones
B) Three tenths
C) Three hundredths
D) Three thousandths
C. Three hundredths
The first digit to the right of the decimal point is the tenths place. The second digit is the hundredths place.
(MCQ):
Which of these numbers is both a multiple of 4 and 6?
A) 18
B) 28
C) 36
D) 48
C) 36
A multiple of both numbers must be divisible by both. 36 is divisible by 4 (4 x 9) and 6 (6 x 6). While 48 is also a common multiple, 36 is the correct option provided.
(Fill in the Blanks):
If 168 is divided by 4, the answer is ______.
42
The term "divided by" means to perform division. You are being asked to split the number 168 into four equal parts.
To find the answer, you can perform the division:
168÷4=42
(Fill in the Blanks):
An isosceles triangle has at least _______ equal sides.
two / 2
An isosceles triangle is defined as having at least two sides of equal length. This also means the two angles opposite those sides are equal.
(True or False):
If you have a ribbon that is 2.5 metres long, and you cut off 150 cm, you will have 1 metre of ribbon left.
True
First, convert the measurements to the same unit. Since there are 100 cm in 1 metre, 2.5 metres is equal to 2.5×100=250 cm. Then, subtract the amount cut off: 250 cm−150 cm=100 cm. Since 100 cm is equal to 1 metre, the statement is true.
MCQ (Fill in the Blanks):
A book costs $25.00. There is a 20% discount. The discount amount is _______ dollars.
A. 5
B. 0.50
C. 0.25
D. 25
A. 5
To find the discount amount, you can multiply the original price by the discount percentage: 25×0.20=5.
(True or False):
The number 51 is a prime number.
False
A prime number can only be divided by 1 and itself. 51 is divisible by 3 and 17, so it is a composite number.
Which operation should you do first in the expression (15 + 5) x 4 - 10?
A) Multiplication
B) Subtraction
C) Addition
D) Parentheses
D) Parentheses
The order of operations is a set of rules used to solve mathematical expressions. A popular acronym to help remember the order is BODMAS or PEMDAS.
Brackets (or Parentheses)
Orders (or Exponents)
Division and Multiplication (from left to right)
Addition and Subtraction (from left to right)
In the expression (15+5)×4−10, the operation inside the parentheses, (15+5), must be performed first.
(MCQ):
The sum of the exterior angles of any regular polygon is always...
A) 90∘
B) 180∘
C) 360∘
D) 540∘
C) 360∘
This is a key property of all polygons. The sum of their exterior angles, no matter how many sides the polygon has, is always 360∘.
MCQ (Fill in the Blanks):
The median of the numbers 10, 20, 5, 30, 15, 25 is ______.
A) 15
B) 20
C) 17.5
D) 12.5
C) 17.5
First, order the numbers from smallest to largest: 5, 10, 15, 20, 25, 30. Since there is an even number of values, the median is the average of the two middle numbers, 15 and 20. (15+20)÷2=35÷2=17.5.
(MCQ):
A shirt costs $18.00. You have $20.00. How much change will you receive in cents?
A) 20 cents
B) 100 cents
C) 200 cents
D) 250 cents
C) 200 cents
First, find the change in dollars: $20.00 - 18.00 = \2.00. To convert dollars to cents, you multiply by 100: 2.00×100=200 cents.