Primary 6 Maths Preliminary Exam 2025 – Test 1

10. Find the value of 2.75 + 400.

Answer:

📖 REMINDER: Align the decimal point when adding whole numbers and decimals.

11. Find the value of 2.75 + 400.

Answer:

📖 REMINDER: Align the decimal point when adding whole numbers and decimals.

12. A pen is placed next to a ruler as shown below :

The pen starts at the 3 cm mark and ends at the 10 cm mark. Find the length of the pen

Answer: cm

📖 REMINDER: Subtract the starting mark from the ending mark to find the length.

13. Benson took 185 minutes to complete a race. He was 15 minutes slower than Carson.
How long did Carson take to complete the race? Give your answer in minutes.

Answer: min

📖 REMINDER: Since Benson was slower, Carson took less time. Subtract Benson's extra time.

14. Find the value of 9 + 5. Round your answer to 2 decimal places.

Answer:

📖 REMINDER: Even whole numbers should be written with two decimal places when rounding to 2 decimal places.

15. Lisa used a calculator to divide a 3-digit number by a 1-digit number. For the 1-digit number,
she made a mistake by pressing 4 instead of 5.She obtained an incorrect answer of 180.
What should be the correct answer?

Answer:

📖 REMINDER: First find the original number using the wrong divisor, then divide by the correct divisor.

16. The table shows the number of visitors to Zoo Adventure.

a) What was the total number of visitors to Zoo Adventure in the week? Express your answer in terms of k in the simplest form.

Answer: (a)

b) The total number of visitors to Zoo Adventure in the week was 6720. Find the value of k.

Answer:  (b) k =

📖 REMINDER: First calculate the total in algebraic form, then substitute the given total to find k.

17. The pie chart represents the type of sports the Primary 6 students liked. The number of students who liked soccer is the same as those who liked swimming.

a) What is the percentage of students who liked soccer?

Answer: (a) %

b) There were 15 more students who liked volleyball than tennis. What was the total number of Primary 6 students? 

Answer:  (b) students

📖 REMINDER: Use the total percentage (100%) and given percentages to find the missing values.

18. The bar graph shows the number of visitors to a museum each month from July to December:

(a) What is the difference between the highest number of visitors in a month and the lowest number of visitors in a month?

Answer: (a) visitors

(b) What is the percentage decrease in visitors in November as compared to October?

Answer: (b) %

📖 REMINDER: Find highest and lowest visitor numbers first, then calculate percentage decrease.

19. During a sale, a store gave a storewide discount of 25%. Maya signed up as a member and received an additional 15% discount
on the discounted price. She paid $510 for a blender. What was the total amount of her discount?

Answer: $

📖 REMINDER: First find the original price by working backwards from the final price.

20. During a sale, a store gave a storewide discount of 25%. Maya signed up as a member and received an additional 15% discount on the discounted price.
She paid $510 for a blender. What was the total amount of her discount?

Answer: $

📖 REMINDER: First find the original price by working backwards from the final price.

21. Liam gives ¹⁄₅ of his income to his parents. When his income increased by 25%, his parents received $300 more.
What was his income before the increase?

Answer: $

📖 REMINDER: The increase in parents' share comes from 1/5 of the income increase.

22. The average of four different 2-digit numbers is 88. Of the four numbers, find the smallest possible number?

Answer:

📖 REMINDER: To minimize one number, maximize the other three while keeping them different 2-digit numbers.

23. The pie chart shows how Rachel spent her money.The amount of money Rachel spent on transport is ³⁄₈ of the amount she spent on food.

(a) What is the percentage of Rachel's money spent on food?

Answer: (a) %

The amount of money Rachel saved is 20% of the amount she spent on transport.
(b) Rachel saved $72. How much money did she spend in total?

Answer: (b) $

📖 REMINDER: Use the transport-food ratio to find food percentage, then work from savings to total spending.

Prelims,ACPS,2025,PrelimsACPS2025,Percentage,Pie Chart,Ratio

24. Ray and Wayne ran in a race around a 400-m track. Ray ran at a speed of 195 m/min and Wayne at a speed that was 25 m/min slower than Ray throughout the race.

(a) How long would it take Ray to run a distance of 350 m more than Wayne?

Answer: (a) min

(b) How many complete rounds would Ray have finished when the above happened?

Answer:  (b) complete rounds

REMINDER: The relative speed is the difference in their speeds. The time for Ray to gain 350 m on Wayne is the distance gap divided by the relative speed. For complete rounds, divide the total distance Ray runs by 400 m and take the whole number part.

Prelims,ACPS,2025,Speed or Prelims,ACPS,2025,Measurement

25. At a supermarket, apples are sold in bags of 9 for $12 and oranges are sold in bags of 5 for $8
. Mrs. Chen spent 3/8 of her money on apples and the rest on oranges. She bought 42 more oranges than apples.
How much money did Mrs. Chen spend in total?

Answer:  $  

REMINDER: The spending ratio is 3:5 (apples:oranges). Find the cost per fruit, express the number of fruits in terms of total money (T), and use the condition "42 more oranges" to form an equation.

Prelims,ACPS,2025,Whole Numbers

26. There were strawberry and vanilla muffins in a bakery box. Mr. Lim took out 18 strawberry muffins and 75% of the vanilla muffins.
After that, the ratio of the number of strawberry muffins to the number of vanilla muffins left in the box was 3 : 2.

(a) What fraction of vanilla muffins did Mr. Lim take out from the box? Give your answer in the simplest form.

Answer: (a)

(b) Mr. Lim had 57 more vanilla muffins than strawberry muffins at first. How many strawberry and vanilla muffins were left in the box in the end?

Answer:  (b) Strawberry left:

                                   Vanilla left:

REMINDER: For (a), convert the percentage to a fraction. For (b), let the initial numbers be S and V. Use V = S + 57 and the changes (S-18, 0.25V left) to form an equation based on the final ratio 3:2.

Prelims,ACPS,2025,Ratio