Quantitative reasoning

Question 1

What does QR test?

Answer 1

Your ability to interpret data, apply basic maths, and solve problems quickly under time pressure.

Question 2

What is the QR golden rule?

Answer 2

Solve questions efficiently, not traditionally. Use shortcuts, estimation, and elimination.

Question 2

What is the most common QR mistake?

Answer 2

Doing unnecessary long calculations instead of simplifying or estimating.

Question 3

Target time per question in QR?

Answer 3

~43 seconds (36 questions in 26 minutes).

Question 3

Should you guess if stuck?

Answer 3

Yes — no negative marking, and QR answers are often easy to eliminate.

Question 4

How do you convert a percentage to decimal?

Answer 4

Divide by 100 (e.g., 25% → 0.25).

Question 5

Formula for percentage change?

Answer 5

(New−Old)/Old×100%

Question 6

Quick way to find X% of a number?

Answer 6

Break into easy chunks:
- 10% = ÷10
- 5% = ÷20
- 1% = ÷100

Question 6

What is percentage difference?

Answer 6

∣A−B∣/Average of A and B ×100%

Question 6

Compound interest formula (if needed)?

Answer 6

A=P(1+r) exponent n
(But QR rarely needs full formula — often one-step % change.)

Question 7

What is the key rule for ratios?

Answer 7

You can scale ratios up or down as long as all parts scale together.

Question 8

How to convert a:b:c into quantities?

Answer 8

Add ratio parts → divide quantity by the total → multiply each part.

Question 9

What is direct proportion?

Answer 9

As A increases, B increases at the same rate.
If A doubles → B doubles.

Question 10

What is inverse proportion?

Answer 10

As A increases, B decreases.
If A doubles → B halves.

Question 11

What should you avoid in proportion questions?

Answer 11

Adding numbers across categories — always compare correct pairs.

Question 12

Formula for speed?

Answer 12

Speed = Distance ÷ Time.

Question 13

Formula for time?

Answer 13

Time = Distance ÷ Speed.

Question 14

Formula for distance?

Answer 14

Distance = Speed × Time.

Question 15

How to combine speeds in round-trips?

Answer 15

Use total distance ÷ total time, not average of speeds.

Question 16

Best method for complicated rate problems?

Answer 16

Use a table:
Rate | Time | Work
Fill what you know → solve.

Question 17

Formula for mean?

Answer 17

Mean = Sum / Number of values.

Question 18

What is weighted mean?

Answer 18

(Value × Weight sum) ÷ (Total weights).

Question 18

What is mode?

Answer 18

Most frequent value.

Question 19

What is median?

Answer 19

Middle value when ordered.

Question 20

What is range?

Answer 20

Max − Min.

Question 21

Common average trap?

Answer 21

Mistaking total change for average change.

Question 22

How many cm in 1 m?

Answer 22

100

Question 23

How many mL in 1 L?

Answer 23

1000

Question 24

1 m³ equals how many litres?

Answer 24

1000 L

Question 25

Common unit conversion mistake?

Answer 25

Forgetting to convert both sides of ratio/distance/time

Question 26

Area of a rectangle?

Answer 26

Length × width

Question 27

Area of a triangle?

Answer 27

0.5 × base × height

Question 28

Area of a circle?

Answer 28

πr²

Question 29

Circumference of a circle?

Answer 29

2πr

Question 30

Volume of a rectangular prism?

Answer 30

Length × width × height

Question 31

Volume of a cylinder?

Answer 31

πr²h

Question 32

When to approximate π?

Answer 32

Often fine to use 3.14 or 3.1 for speed

Question 33

What’s the #1 rule for charts?

Answer 33

Read the axis labels carefully — many students misread.

Question 34

What is the fastest way to compare values?

Answer 34

Approximate visually — don’t calculate unless needed.

Question 35

What is the most common error in tables?

Answer 35

Mixing rows and columns — always track the correct variable.

Question 36

What is the fastest QR elimination trick?

Answer 36

Estimate rough magnitude — remove answers far too big or too small.

Question 36

When should you estimate instead of calculate?

Answer 36

Whenever exact precision is unnecessary and options are far apart.

Question 37

Should you always calculate fully?

Answer 37

No — many QR questions can be answered by logic + estimation.

Question 38

What should you do if a QR question looks long?

Answer 38

Skip, flag, and return. Do fast questions first.

Question 39

Why is QR easier to guess on than other sections?

Answer 39

Options often contain unrealistic extremes — easy to eliminate.

Question 40

What should you do in the last 60 seconds?

Answer 40

Guess all remaining questions — NEVER leave blanks.

Question 41

What is the #1 skill for high QR scores?

Answer 41

Knowing when to simplify, when to estimate, and when to skip.

Question 42

Perimeter Rectangle

Answer 42

P=2(l+w)

Question 43

perimeter triangle

Answer 43

P=a+b+c

Question 43

perimeter circle, circumfrence

Answer 43

C=2πr

Question 44

Area Rectangle

Answer 44

A=lw

Question 45

area triangle

Answer 45

A=1/2​bh

Question 46

area parallelogram

Answer 46

A=bh

Question 47

area trapezium (trapezoid)

Answer 47

A=1/2​(a+b)h

Question 48

area circle

Answer 48

A=πr2

Question 49

volume cuboid

Answer 49

V=lwh

Question 50

volume cylinder

Answer 50

V=πr2h

Question 51

volume sphere

Answer 51

V=4/3 ​πr3

Question 52

volume cone

Answer 52

V= 1/3 πr2 h

Question 53

Surface Area Cylinder

Answer 53

Total surface area: 2πr(h+r)

Question 53

Direct proportion

Answer 53

Question 54

inverse proportion

Answer 54

Question 55

Percentage increase / decrease

Answer 55

Question 56

growth/ decay multiplier

Answer 56

Question 56

Reverse percentage

Answer 56

Question 57

Currency Conversion

Answer 57

Question 57

Averages & Weighted Data

Answer 57

Mean =Sum/ 𝑛​

Question 58

Density

Answer 58

mass/volume

Question 59

percentage profit

Answer 59

profit/cost x 100

Question 60

profit

Answer 60

selling price - cost price

Question 61

simple intrest

Answer 61

I=Prt

Question 62

pressure

Answer 62

P= F/A