OC Mathematical Reasoning Practice Test 1 — 2027 NSW Opportunity Class Exam

Step 1: Understand the ratio

Sugar : Flour = 2 : 5

This means: for every 5 g of flour, you need 2 g of sugar.

Step 2: Find how many groups of 5 are in 300 g of flour

300 ÷ 5 = 60 groups

Step 3: Multiply by 2 to find the sugar

Sugar = 60 × 2 = 120 g

Flour:  5 g × 60 = 300 g  ✓
Sugar:  2 g × 60 = 120 g

Alternative method (unitary ratio):

Flour is 300 g, ratio says flour is 5 parts.

1 part = 300 ÷ 5 = 60 g

Sugar is 2 parts = 2 × 60 = 120 g

Answer: 120 g of sugar

Step 1: Find how much water each block displaces

The jug starts with 200 mL. Adding 2 blocks raises it to 260 mL.

Rise caused by 2 blocks = 260 − 200 = 60 mL

Volume displaced by 1 block = 60 ÷ 2 = 30 mL per block

Step 2: Find the new total blocks

There were already 2 blocks. Then 5 more are added:

Total blocks = 2 + 5 = 7 blocks

Step 3: Calculate the new water level

Total rise from 7 blocks = 7 × 30 = 210 mL

New reading = 200 + 210 = 410 mL

200 mL (start)
+210 mL (7 blocks × 30 mL each)
───────
410 mL

Answer: 410 mL