Test: Basic Arithmetic and Estimations - 1 - UCAT MCQ

Step 1: Identify quantity and price per item
Quantity of Pens = 5, Price per Pen = £1.20
Step 2: Multiply to find total cost
Total cost = 5 × 1.20 = £6.00
Thus, the total cost of Pens is £6.00.
Correct answer: Option B.

1. List each item with its rounded unit price

   • Pen: actual £1.20 → round to £1

   • Notebook: £3.00 → stays £3

   • Eraser: £0.50 → round to £1

   • Sharpener: £0.80 → round to £1

2. Multiply by quantities

   • Pens: 5 × £1 = £5

   • Notebooks: 2 × £3 = £6

   • Erasers: 3 × £1 = £3

   • Sharpeners: 2 × £1 = £2

3. Add them up
   £5 + £6 + £3 + £2 = £16

Answer: £16 

Step 1: Find 20% of original price
20% of £3.00 = (20 ÷ 100) × 3 = £0.60
Step 2: Add increase to original price
New Price = £3.00 + £0.60 = £3.60
Thus, the new price of a Notebook would be £3.60.
Correct answer: Option D.

Step 1: Find total cost without Erasers
Full total = £15.10
Cost of Erasers = 3 × 0.50 = £1.50
Step 2: Subtract cost of Erasers
New total = 15.10 – 1.50 = £13.60
Step 3: Round to nearest 2
£13.60 ≈ £14
Thus, the new approximate total is £14.
Correct answer: Option C.

Step 1: Identify quantity and price per item
Quantity = 4, Price per Muffin = £1.50
Step 2: Multiply to find total cost
Total cost = 4 × 1.50 = £6.00
Thus, the total cost of 4 Muffins is £6.00.
Correct answer: Option C.

Step 1: Find individual totals:
Croissant: 3 × 2.00 = £6.00
Muffin: 4 × 1.50 = £6.00
Doughnut: 5 × 1.20 = £6.00
Coffee: 2 × 2.80 = £5.60
Step 2: Add all totals
Total = 6.00 + 6.00 + 6.00 + 5.60 = £23.60
Step 3: Estimate
£23.60 rounds to £24.
Thus, the estimated total cost is £24.
Correct answer: Option D.

Step 1: Find 10% of original Coffee price
10% of £2.80 = (10 ÷ 100) × 2.80 = £0.28
Step 2: Add increase to original price
New price = 2.80 + 0.28 = £3.08
Thus, the new price per cup is £3.08.
Correct answer: Option C.

Step 1: Find total cost:
Croissant (3 pcs): 3 × 2.00 = £6.00
Coffee (2 cups): 2 × 2.80 = £5.60
Step 2: Add the two costs
Total = 6.00 + 5.60 = £11.60
Step 3: Round estimate
£11.60 rounds to £12.
Thus, the approximate cost is £12.
Correct answer: Option C.

Step 1: Look at the March value
Water used = 13,200 litres
Thus, the water usage in March was 13,200 litres.
Correct answer:Option C.

Step 1: Add water usage for all months:
January: 12,500 litres
February: 11,800 litres
March: 13,200 litres
April: 12,000 litres
Step 2: Find the total
Total = 12,500 + 11,800 + 13,200 + 12,000 = 49,500 litres
Step 3: Approximate to nearest 1000
49,500 ≈ 50,000 litres
Thus, the approximate total usage is 50,000 litres. Correct answer: Option C.