NSW Parents Love This Year 4 Math Practice Test

Year 4 NSW Math Practice Tests (Stage 2) cover expanded number concepts (place value, fractions), geometry, and real-life applications. Expect easy (basic arithmetic), medium (intermediate arithmetic), and hard (advanced place value, fractions, area, problem-solving) tests.
Year 4 Math Practice Test in Sydney

What are the key focus areas of Year 4 math in NSW?

NSW Year 4 mathematics develops fluency, understanding, problem-solving, and reasoning across Number and Algebra, Measurement and Geometry, and Statistics and Probability. Key topics include place value to tens of thousands, fractions (including equivalents and decimals), multiplication and division facts, properties of numbers, number sequences, measurement using scaled instruments, time conversion, symmetry, angle classification, listing probabilities, and data representation.

What to expect from NSW Math Year 4 Practice Tests?

Stage 2 (Years 3–4) Key Focus for Year 4 : Expand on number concepts, including place value and fractions. Students also delve into geometric measurements and spatial awareness, with an increased emphasis on using mathematics in real-life contexts.

Easy Practice Test: Basic arithmetic questions such as addition, subtraction, multiplication, and division to strengthen foundational math skills.

Medium Practice Test: More challenging arithmetic problems to test students’ proficiency and understanding of intermediate math concepts.

Hard Practice Test: Advanced questions focusing on place value, fractions, area calculations, and real-life application problems to enhance critical thinking and problem-solving abilities.

NSW Math Year 4 Easy Practice Test

NSW Math Year 4 Easy Practice Test

1. What is 12 + 7?

2. What is 14 - 6?

3. What is 3 × 5?

4. What is 24 ÷ 3?

5. What is 18 + 5?

6. What is 9 - 3?

7. What is 4 × 2?

8. What is 30 ÷ 5?

9. What is 21 + 3?

10. What is 18 - 9?

NSW Math Year 4 Hard Practice Test

NSW Math Year 4 Hard Practice Test

1. What is the place value of 5 in the number 358?

2. What fraction of an hour is 15 minutes?

3. If a rectangle has a length of 8 cm and a width of 4 cm, what is its area?

4. How many edges does a cube have?

5. What is 2/3 of 12?

6. If you have a rope that is 10 meters long and you cut it into 5 equal pieces, how long is each piece?

7. What is the perimeter of a square with a side length of 7 cm?

8. If you buy 3 apples for $1 each and pay with a $10 note, how much change do you get?

9. What is the total length if you combine a 2-meter stick, a 3-meter stick, and a 4-meter stick?

10. If a pizza is cut into 8 equal slices and you eat 3 slices, what fraction of the pizza is left?

Year 4 Full Math Practice Test

Year 4 Full Math Practice Test


Please write the answer in the form of 1:2


Q1. What is 20 - 5 = ______

1. 20 - 5 = 15

Q2. What is 55 + 85 = ______

2. 55 + 85 = 140

Q3. What is 93 + 33 = ______

3. 93 + 33 = 126

Q4. What is 7 x 3 = ______

4. 7 x 3 = 21

Q5. What is 12 ÷ 3 = ______

5. 12 ÷ 3 = 4

Q6. Complete the Pattern: 4, 8, 12, 16, 20, ___

6. To continue the pattern, you add 4 to the number before it. So, after 20, the next number is 24

Q7. Complete the Pattern: 36, 30, 24, __, 12

7. To continue the pattern, you subtract 6 to the number before it. So, after 24, the next number is 18

Q8. If you have 54 apples and 6 children, each child will get ____ apples.

8. If you have 54 apples and 6 children, each child will get 9 (54÷ 6) apples

Q9. How many minutes are there in 1 hour?

9. There are 60 minutes in 1 hour

Q10. How many minutes are between 11 am and 1pm?

10. There are 60 minutes in 1 hour. There are 2 hours between 11 am and 1 pm. Hence, there are 120 minutes between 11 am and 1 pm

Q11. Solve: 40 + (30+15) = ___

11. 40 + (30+15). We first solve the brackets, 30+15=45. Hence, our equation becomes 40 + 45. 40 + 45 = 85.

Q12. What is \( \frac{1}{6} + \frac{4}{6} \)

12.\( \frac{1}{6} + \frac{4}{6} = \frac{1+4}{6} = \frac{5}{6} \)

Q13. To complete the fraction, what number should be added: \( \frac{7}{16}\) + \( \frac{?}{16} \)?

13. We need to find a number that, when added to 7, gives 16. \( \frac{7}{16} + \frac{9}{6} = 16/16 \). Hence, answer is 9

Q14. Aaron ate \( \frac{3}{5} \) of a pizza, and his sister ate \( \frac{1}{5} \). How much of the pizza did they eat altogether?

14. \( \frac{3}{5} + \frac{1}{5} = \frac{4}{5} \)

Q15. A garden bed is 6 metres long and 4 metres wide. What is the area of the garden bed?

15. Area of the Garden Bed = 6mts x 4mts = 24 sqmts

What should a child know by the end of year 4 in Sydney/NSW?

Although the syllabus taught in different schools may vary, students in Year 4 NSW/Sydney should have learned the following by the end of Year 4:

  • Develop understanding of number representations, place value (including decimals), and properties of symmetrical shapes.

  • Recall multiplication tables and communicate sequences of simple fractions.

  • Use measurement instruments accurately and create patterns with shapes and their transformations.

  • Formulate and solve authentic problems involving operations, compare large numbers and time durations.

  • Use reasoning to generalize number properties, develop strategies for multiplication and division, compare angles, and communicate information graphically

What math tests do students take in Year 4 in Sydney/NSW?

Year 4 maths tests in Sydney/NSW assess the Australian Curriculum’s Number & Algebra, Measurement & Space, and Statistics & Probability strands. These tests, which can be topic-specific or comprehensive, use formats like multiple-choice and word problems to evaluate procedural fluency and problem-solving. They cover key Year 4 outcomes, including operations, fractions, decimals, measurement, geometry, and data handling, often with pre- and post-assessments for progress tracking and utilizing both paper-based and digital formats.

What are the Common Topics for Tests for Year 4 Math in Sydney/NSW?

1. Number & Algebra

  • Addition, subtraction, multiplication, and division facts, including recall of multiplication tables up to 10 x 10.

  • Understanding and solving problems involving whole numbers, decimals (up to two decimal places), and fractions, including equivalent fractions.

  • Number patterns and sequences, including multiples of single-digit numbers.

  • Identifying unknown quantities in number sentences.

  • Solving word problems involving mixed operations.

 

2. Measurement & Space

  • Measuring lengths, areas, volumes, and time durations using scaled instruments.

  • Converting between units of time.

  • Understanding and calculating perimeter of rectilinear figures.

  • Recognizing and classifying shapes, including 3-D solid shapes.

  • Creating symmetrical shapes and patterns.

  • Classifying angles in relation to a right angle.

  • Working with time, including solving time word problems.

 

3. Statistics & Probability

  • Collecting, representing, and interpreting data using tables and graphs.

  • Identifying dependent and independent events.

  • Listing probabilities of everyday events and understanding likelihood.

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