WPLN Numeracy Assessment
75-minute test with two parts: Part 1 (no calculator), Part 2 (calculator provided)
Welcome to the WPLN Numeracy Test
This test consists of two parts:
- Part 1: 26 questions (no calculator) - 35 minutes
- Part 2: 24 questions (calculator provided) - 40 minutes
You can pause the timer if needed, and submit your answers at any time.
75:00
Part 1: Simple Questions (No Calculator)
Questions 1-26
Question 1 of 50
19 + 2 =
Question 2 of 50
You find the following coins and notes in your wallet. How much money do you have?
$2
$2 coin
10c
10c coin
5c
5c coin
$20
$20 note
Question 3 of 50
A heat wave reached Tokyo on Saturday. The temperature rose from 20°C at 10:00 am to 35°C at 5:30 pm. How long did it take the temperature to rise from 20°C to 35°C?
Question 4 of 50
What is 25% of 80?
Question 5 of 50
A rectangle has a length of 12m and width of 8m. What is its area?
Formula: Area of rectangle = Length × Width
m²
Question 6 of 50
Convert 2.5 hours to minutes.
minutes
Question 7 of 50
A circle has a radius of 5cm. What is its circumference?
Formula: Circumference = 2 × π × Radius (use π = 3.14)
cm
Question 8 of 50
If 3 apples cost $4.50, how much do 5 apples cost?
$
Question 9 of 50
What is 15% of $120?
$
Question 10 of 50
A triangle has a base of 10cm and height of 6cm. What is its area?
Formula: Area of triangle = ½ × Base × Height
cm²
Question 11 of 50
45 - 18 =
Question 12 of 50
8 × 7 =
Question 13 of 50
96 ÷ 8 =
Question 14 of 50
Convert 3.2m to centimeters.
cm
Question 15 of 50
What is 10% of 250?
Question 16 of 50
A rectangle has perimeter 24m. If the width is 4m, what is the length?
Formula: Perimeter = 2 × (Length + Width)
m
Question 17 of 50
Convert 1.5 kg to grams.
g
Question 18 of 50
What time is it 3 hours and 45 minutes after 2:15 PM?
Question 19 of 50
A car travels 180km in 3 hours. What is its average speed?
Formula: Speed = Distance ÷ Time
km/h
Question 20 of 50
Round 47.68 to the nearest whole number.
Question 21 of 50
What is ¾ as a decimal?
Question 22 of 50
A box contains 24 chocolates. If ⅓ are eaten, how many remain?
Question 23 of 50
Convert 2500ml to liters.
l
Question 24 of 50
What is 12² (12 squared)?
Question 25 of 50
A circle has a diameter of 14cm. What is its radius?
Formula: Radius = Diameter ÷ 2
cm
Question 26 of 50
If a pattern goes 2, 4, 8, 16, ... what is the next number?
Part 2: More Complex Questions (Calculator Provided)
Questions 27-50
Question 27 of 50
You work for the local administration and are responsible for the green spaces in town. You need to put a fence around this field in the picture. How long will the fence be?
12 m
3 m
Question 28 of 50
Benjamin works on a building site. He needs to mix 2 kg of concrete. The ratio of cement, stone and sand is 1 : 1 : 3. How many kilograms of cement does Benjamin need to mix 2 kg of concrete?
Give your answer in kg, without unit of measurement.
Question 29 of 50
Rajesh has to drain the swimming pool so he can clean it. The pump pumps out 4,000 litres each minute. The pool is filled with 2,000,000 litres.
Looking at the graph above, how many minutes of will it take until 100,000 litres are left in the pool?
Question 30 of 50
Rajesh wants to fill his pool with water. The pool is 2 m deep.
Volume of Cuboid = Length × Width × Height
What is the volume of the pool? Give your answer in m³, without unit of measurement.
Question 31 of 50
A cylindrical water tank has a radius of 3m and height of 8m. What is its volume?
Formula: Volume of cylinder = π × Radius² × Height (use π = 3.14)
m³
Question 32 of 50
A loan of $15,000 has an annual interest rate of 7.5%. What is the simple interest for 3 years?
Simple Interest = Principal × Rate × Time
$
Question 33 of 50
A sphere has a radius of 6cm. What is its surface area?
Formula: Surface area of sphere = 4 × π × Radius² (use π = 3.14)
cm²
Question 34 of 50
Calculate 847 × 293 using a calculator.
Question 35 of 50
A company's revenue increased from $125,000 to $156,250. What was the percentage increase?
%
Question 36 of 50
Using the Pythagorean theorem, find the hypotenuse of a right triangle with sides 9cm and 12cm.
Formula: c² = a² + b²
cm
Question 37 of 50
A cone has a radius of 4cm and height of 9cm. What is its volume?
Formula: Volume of cone = ⅓ × π × Radius² × Height (use π = 3.14)
cm³
Question 38 of 50
Convert 87.3°F to Celsius using the formula: C = (F - 32) × 5/9
°C
Question 39 of 50
A manufacturing process has a 3.7% defect rate. In a batch of 2,450 items, how many defective items would you expect?
Question 40 of 50
Calculate the compound interest on $8,000 invested at 4.5% per annum for 2 years.
Compound Interest = P(1 + r)^t - P, where P = principal, r = rate, t = time
$
Question 41 of 50
A rectangular garden is 15.7m long and 8.3m wide. If fencing costs $23.50 per meter, what is the total cost to fence the perimeter?
$
Question 42 of 50
A car depreciates by 18% each year. If it was worth $32,000 initially, what will it be worth after 3 years? (Give your answer to the nearest dollar)
$
Question 43 of 50
Solve for x: 3x + 15 = 48
Question 44 of 50
A cylindrical pipe has an outer diameter of 12cm and inner diameter of 8cm. If it's 20cm long, what is the volume of material used?
Volume = π × (R² - r²) × height, where R = outer radius, r = inner radius (use π = 3.14)
cm³
Question 45 of 50
A triangular plot of land has sides of 45m, 60m, and 75m. Using Heron's formula, find its area.
Area = √[s(s-a)(s-b)(s-c)], where s = (a+b+c)/2
m²
Question 46 of 50
A population grows exponentially from 15,000 to 22,500 in 4 years. What is the annual growth rate? (Give your answer as a percentage to 1 decimal place)
Growth Rate = (Final/Initial)^(1/years) - 1
%
Question 47 of 50
Calculate 15.7% of $47,350.
$
Question 48 of 50
A box has dimensions 12.5cm × 8.7cm × 15.3cm. What is its volume?
cm³
Question 49 of 50
A machine produces 2,847 items per hour. How many items will it produce in 6.5 hours?
Question 50 of 50
A savings account compounds annually at 3.8% annual interest. What will $5,500 grow to after 2.5 years? (Give your answer to the nearest cent)
A = P(1 + r)^t, where P = principal, r = rate, t = time
$