Year 7 Number
Name:____________
Date:_____________
Question 1: Perfect Squares and Square Roots
1.1)
What is the square root of 144?
___________________________
1.2)
Which of the following numbers is a perfect square?
a) 50
b) 81
c) 27
d) 98
1.3)
Solve: A square garden has an area of 121 square meters. What is the
length of one side of the garden?
Question 2: Prime Factorization
2.1)
Write 72 as a product of powers of its prime factors.
2.2)
Which of the following numbers is represented correctly in prime
factorization?
2.3)
Write the prime factorization of 96. Then express it in exponent notation.
Question 3: Rounding Decimals and Estimation
3.1)
Round 23.476 to:
a) One decimal place
b) Two decimal places
3.2)
The cost of groceries is $74.38, and you pay with a $100 bill.
Estimate the change you will receive.
3.3)
A recipe requires 2.875 cups of flour. Round this to two decimal
places and explain why rounding might be helpful in this
context.
3.4)
You measure a piece of string as 8.973 meters long. If you need
an approximation for quick calculations, what would the string
length be rounded to the nearest whole number?
Question 4: Integers
4.1)
Arrange the following integers in ascending order: -8, 3, -15, 7, -2.
4.2)
Solve:
a) −7+4-7 + 4−7+4
b) −12−5-12 - 5−12−5
c) 8−(−3)8 - (-3)8−(−3)
4.3)
A diver is swimming at a depth of -15 meters below sea level. They
ascend 7 meters. What is their new depth?
4.4)
Solve: A mountain climber starts at an altitude of 1,200 meters above
sea level and descends 450 meters. What is their final altitude?