Year 6 Maths Test Measurement PDF

Summary

This document contains a Year 6 maths test. The test covers various topics, including length, perimeter, area, volume, and time. It also includes multiple-choice and short-answer questions. The test is designed to assess student understanding of key measurement concepts in mathematics.

Full Transcript

**Year 6 Maths Test** Topic Question Number Marks TOTAL ---------------------- --------------------------- ------- ------- Length and Perimeter 1, 2, 11, 12, 13, 26a 30 /30 Area 3, 4, 10, 14, 15, 23, 27a 25 /25 Volume...

**Year 6 Maths Test** Topic Question Number Marks TOTAL ---------------------- --------------------------- ------- ------- Length and Perimeter 1, 2, 11, 12, 13, 26a 30 /30 Area 3, 4, 10, 14, 15, 23, 27a 25 /25 Volume 5, 6, 17, 21, 28a 25 /25 Time 7, 8, 19, 20, 24, 29 20 /20 Grade Score Desciption ------------ -------- ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- Outsanding 80-100 Demonstrates an **extensive understanding** of all mathematical concepts. All answers are correct or near-perfect, with clear, logical reasoning and detailed workings shown. Tackles complex, multi-step problems effectively. Presentation is excellent, and all units/formulas are applied correctly. Hight 65- 79 Demonstrates a **thorough understanding** of most mathematical concepts. Most answers are correct, with workings provided. May make minor errors but shows strong reasoning and problem-solving skills. Presentation is clear and organized. Sound 50-64 Demonstrates a **satisfactory understanding** of key mathematical concepts. Correct answers for basic problems but may struggle with complex, multi-step problems. Reasoning is partially correct, and workings may be incomplete or unclear. Basic 30-49 Demonstrates **limited understanding** of mathematical concepts. Answers are mostly incorrect, with significant gaps in reasoning and application of formulas. Workings are minimal or missing. NY 0-29 Shows **little to no understanding** of the required mathematical concepts. Answers are incorrect, and no meaningful reasoning or workings are provided. **Section A: Multiple Choice (10 Questions, 20 Marks)** Each question is worth **2 marks**. 1. Convert **2.75 meters** to centimeters.\ A) 2.75 cm\ B) 27.5 cm\ C) 275 cm\ D) 2750 cm 2. A square has a side length of **6 cm**. What is its perimeter?\ A) 24 cm\ B) 36 cm\ C) 12 cm\ D) 18 cm 3. The area of a rectangle is **36 cm²**. If the width is **4 cm**, what is the length?\ A) 8 cm\ B) 9 cm\ C) 10 cm\ D) 12 cm 4. Find the area of a triangle with a base of **10 cm** and height of **6 cm**.\ A) 30 cm²\ B) 60 cm²\ C) 15 cm²\ D) 50 cm² 5. A cube has a side length of **3 cm**. What is its volume?\ A) 27 cm³\ B) 9 cm³\ C) 18 cm³\ D) 36 cm³ 6. A rectangular prism has dimensions **4 cm × 3 cm × 5 cm**. What is its volume?\ A) 30 cm³\ B) 60 cm³\ C) 40 cm³\ D) 20 cm³ 7. If a movie starts at **2:15 PM** and ends at **4:45 PM**, how long did it last?\ A) 2 hours\ B) 2 hours 15 minutes\ C) 2 hours 30 minutes\ D) 1 hour 45 minutes 8. A train journey takes **5 hours 20 minutes**. If it starts at **9:10 AM**, what time does it end?\ A) 2:10 PM\ B) 2:30 PM\ C) 2:50 PM\ D) 3:30 PM 9. What is the perimeter of a regular pentagon with side length **7 cm**?\ A) 21 cm\ B) 35 cm\ C) 28 cm\ D) 42 cm 10. A rectangle has a length of **8 m** and a width of **3 m**. What is its area?\ A) 24 m²\ B) 16 m²\ C) 11 m²\ D) 32 m² **Section B: Short Answer (15 Questions, 45 Marks)** 11. Convert **3.4 kilometers** to meters. *(3 marks)* 12. A triangle has sides of **6 cm, 8 cm, and 10 cm**. What is its perimeter? *(3 marks)* 13. Find the missing side of a rectangle if the perimeter is **24 cm** and one side is **7 cm**. *(3 marks)* 14. A garden has the shape of an **L**: - One rectangle is **4 m × 3 m**, and the other is **6 m × 2 m**.\ Find the total area. *(4 marks)* 15. Calculate the area of a circle with a radius of **5 cm**. Use π ≈ 3.14. *(3 marks)* 16. Find the total surface area of a cube with a side length of **4 cm**. *(4 marks)* 17. A tank has a base area of **10 m²** and a height of **4 m**. Find its volume. *(3 marks)* 18. Convert **5 hours 45 minutes** into only minutes. *(2 marks)* 19. How many days are there in **3 years**, including 1 leap year? *(3 marks)* 20. A classroom clock reads **11:35 AM**. What will it read in **2 hours 50 minutes**? *(3 marks)* 21. If a cuboid has dimensions of **6 cm × 5 cm × 4 cm**, find its total surface area. *(4 marks)* 22. The area of a trapezium is calculated as:\ Area=12×(a+b)×hArea=21​×(a+b)×h\ Find the area of a trapezium with **a = 5 cm, b = 7 cm, and h = 4 cm**. *(3 marks)* 23. A field has a rectangular part (**50 m × 30 m**) and a semicircular part with a diameter of **30 m**. Find the total area. *(4 marks)* 24. A train leaves at **9:45 AM** and reaches its destination at **1:30 PM**, including a **25-minute stop**. How long was the train moving? *(4 marks)* 25. If a room is **5 m × 4 m** and the height is **3 m**, how much paint is needed to cover all the walls (excluding the floor and ceiling)? *(4 marks)* **Section C: Long Answer (5 Questions, 35 Marks)** 26. **Problem Solving: Fencing a Field** *(7 marks)*\ A farmer wants to fence a rectangular field **120 m × 90 m** and install 4 equal partitions inside the field.\ a) Find the total length of fencing material needed. *(4 marks)* 27. **Area and Perimeter of a Complex Shape** *(8 marks)*\ A playground has a rectangular part **30 m × 20 m** and a triangular part with base **20 m** and height **15 m**.\ a) Find the total area. *(4 marks)* 28. **Volume and Surface Area of a Cylinder** *(7 marks)*\ A water tank has a radius of **2 m** and a height of **6 m**. Find:\ a) The volume of the tank. Use π ≈ 3.14. *(4 marks)* 29. **Elapsed Time with Multiple Stops** *(6 marks)*\ A bus departs at **7:30 AM** and arrives at **12:15 PM** after stopping for **20 minutes** at one station and **15 minutes** at another. How long was the bus in motion? *(6 marks)* 30. **Design Problem** *(7 marks)*\ A rectangular swimming pool is **25 m × 10 m**, and a pathway **2 m wide** is built around it.\ a) Find the total area covered by the pool and the pathway. *(4 marks)*

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