7−12
-5
Convert 3/4 to a decimal
0.75
BIDMAS
Brackets
Indices
Division
Multiplication
Addition
Subtraction
92
81
What is the name of the wizarding school that Harry Potter attends?
Hogwarts
−6+4×2
4×2=8
−6+8=2
Convert 0.125 to fraction (simplify)
1/8
Inevitable
Certain to happen; unavoidable no matter what you do.
Simplify: 43×47
410
Which country has the largest population in the world?
China
(−3+5)×(−4)
−3+5=2
2×(−4)=−8
Show 62.5% as a simplified fraction and a decimal
5/8 and 0.625
Resilient
Able to recover quickly from difficulties, challenges, or setbacks.
Simplify;
36 / 32 x 312
316
If you mix red and light blue, what colour do you get?
Purple (specifically magenta in light)
18÷(−3)+2×(−5)
18÷(−3)=−6
2×(−5)=−10
−6+(−10)=−16
A number is written as the decimal 0.048.
Write it as a percentage and as a fraction in simplest form.
Percentage: 4.8%
Fraction (simplest form): 6/125
Ubiquitous
Appearing everywhere; extremely common or widespread.
Expand and solve;
(42)2
Expand/ solve;
4 x 4 x 4 x 4
= 256
Place the following events in chronological order (earliest → most recent):
The fall of the Roman Empire
The first commercial flight
The invention of the printing press
The start of World War I
Fall of the Roman Empire (476 AD)
Invention of the printing press (around 1440)
First commercial flight (Jan 1914)
Start of World War I (July 1914)
−4+[6−(3−8)]×(−2)
Inside inner brackets: 3−8=−5
Middle bracket: 6−(−5)=11
Multiply: 11×(−2)=−22
Final: −4+(−22)=−26
A student claims that:
“7/20, 0.35, and 35% are all equivalent.” Decide whether the student is correct. Show full working by converting all three into the same form.
7/20=0.35=35%
Conclusion: The student is correct
Self-efficacy
An individual’s belief in their capacity to execute behaviours necessary to produce specific performance attainments.
(24 x (2-3)2) / 2-5
Step 1: Expand the power (2−3)2=2−6
Step 2: Multiply in numerator 24×2−6=2−2
Step 3: Divide by 2−5: subtract powers
2−2−(−5)=23
23 = 8
Which of the following languages has the most native speakers, and therefore is considered the largest first‑language population in the world?
Spanish
Mandarin Chinese
Hindi
English
Mandarin Chinese (It has the largest number of native speakers globally.)