Order of Operations
Angles
Measurement
Decimals & Place Value
Fractions
100
Q. What does BIDMAS stand for?
A. Brackets, Indices, Division and Multiplication, Addition and Subtraction.
100
Q. Name the six types of angles.
A. acute, right, obtuse, straight, reflex, full rotation.
100
Q. 1km = ___ m?
A. 1000m
100
Q. What value does the number 5 have in 237.259
A. 5 hundredths
100
Q. Simplify this fraction: 8/16
A. 8/16 > 4/8 > 2/4 > 1/2 (HALF)
200
Q. Explain the order of operations. What order do you follow when solving operations?
A. 1) Solve all operations inside parentheses/brackets; 2) Solve all indices/powers (e.g. 3²); 3) Solve all multiplications and divisions, working from left to right; 4) Solve all additions and subtractions, working from left to right.
200
Q. Two right angles adjacent each other make up what other angle? Explain.
A. A straight angle because 2 x 90ᵒ = 180ᵒ, the measurement of a straight angle.
200
A. Calculate the perimeter of an equilateral triangle with sides 18cm long.
Q. 3 x 18cm = 54cm
200
Q. To change 345.6 to 3.456 I have to _____ by _____.
A. To change 345.6 to 3.456 I have to divide it by 100.
200
Q. There were 18 ducks on a pond. 10 flew away. What fraction of the ducks were left?
A. 18 - 10 = 8 >>> 8/18 or 4/9
300
Q. 4² + 2 x 3 =
A. Step 1-Indices: 4² + 2 x 3 = 16 + 2 x 3 Step 2-Multiplication: 16 + 2 x 3 = 16 + 6 Step 3-Addition: 16 + 6 = 22
300
Q. TRUE or FALSE. An angle with a measurement of 260ᵒ is a reflex angle. Explain.
A. TRUE because a reflex angle is any angle that measures between 180ᵒ and 360ᵒ.
300
A. Calculate the area of a rectangle with sides measuring 9cm and 7cm long.
Q. 9cm x 7cm = 63cm
300
Q. Calculate 86.43 X 4 =
A. 345.72
300
Q. Write 23/7 as a mixed number.
A. 23 ÷ 7 = 3r2 > 3 2/7
400
Q. 150 ÷ (6 + 3 x 8) – 5 =
A. Step 1- Multiplication inside Parentheses: 150 ÷ (6 + 3 x 8) - 5 = 150 ÷ (6 + 24) - 5 Step 2-Addition inside Parentheses: 150 ÷ (6 + 24) - 5 = 150 ÷ 30 - 5 Step 3-Division: 150 ÷ 30 – 5 = 5 – 5 Step 4-Subtraction: 5 - 5 = 0
400
Q. Calculate the unknown angle of a right angle with a known angle of 62ᵒ.
A. 90ᵒ - 62ᵒ = 28ᵒ
400
Q. Which is incorrect? (1) 200millimetres = 0.2metres (2) 3000 milligrams = 30grams (3) 3.4litres = 3400millilitres
A. (2) 3000 milligrams = 30grams > 3000 milligrams = 3grams
400
Q. Connor's Licorice Company made 710.01 metres of licorice in 3 days. How many metres of licorice, on average, did the company make per day?
A. 710.01 ÷ 3 = 236.67 metres
400
Q. Write 7 8/19 as an improper fraction.
A. 7 x 19 = 133 > 133 + 8 = 141 > 141/19
500
Q. 3 + 6 x (5 + 4) ÷ 3 – 7
A. Step 1-Parentheses: 3 + 6 x (5 + 4) ÷ 3 - 7 = 3 + 6 x 9 ÷ 3 - 7 Step 2-Multiplication: 3 + 6 x 9 ÷ 3 - 7 = 3 + 54 ÷ 3 - 7 Step 3-Division: 3 + 54 ÷ 3 - 7 = 3 + 18 - 7 Step 4-Addition: 3 + 18 - 7 = 21 - 7 Step 5-Subtraction: 21 - 7 = 14
500
Q. Calculate the unknown angle of a straight angle with one known angle of 23ᵒ and another known angle of 45ᵒ.
A. 180ᵒ - (23ᵒ + 45ᵒ) = 180ᵒ - 68ᵒ = 112ᵒ
500
Q. What is the total perimeter of two rectangles measuring (1) 250cm x 400cm + (2) 7.5m x 3.5m.
A. 2.5m + 2.5m + 4m + 4m = 13m 7.5m + 7.5m + 3.5m + 3.5m = 22m 13m + 22m = 35m OR 250cm + 250cm + 400cm + 400cm = 1300cm 750cm + 750cm = 350cm + 350cm = 2200cm 1300 + 2200 = 3500cm
500
Q. I earned $12.30c pocket money each week. After a year, I decided to donate one third to charity and spend the rest. How much did I donate?
A. $12.30c x 52 weeks = $639.60c $639.60c ÷ 3 = $213.20c
500
Q. Put these in order from least to greatest: 0.7, 2/5, 9/10, 1/2
A. 0.7 = 7/10 2/5 = 4/10 1/2 = 5/10 >>> 2/5, 1/2, 0.7, 9/10
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