1. What is the value of the digit 8 in the number 386 209?
 

 

📖 REMINDER: The value of a digit depends on its place (position) in the number. Identify which place the digit 8 is in.

 

WA1,AIT,2024,WholeNumbers
2. Which of the following is not a factor of 48?
 

 

📖 REMINDER: A factor of a number divides the number exactly without leaving a remainder.

WA1,AIT,2024,WholeNumbers
3. Which of the following has the same value as 3 5⁄9?
 

 

📖 REMINDER: Convert the mixed number to an improper fraction by multiplying the whole number by the denominator and adding the numerator.

WA1,AIT,2024,Fractions
4. Which of the following fractions is the smallest?
 

 

📖 REMINDER: When numerators are the same, the fraction with the largest denominator is the smallest.

WA1,AIT,2024,Fractions
5. In a school choir of 48 members, 20 are sopranos. Express the ratio of sopranos to other voice parts in the choir. 

 

📖 REMINDER: Calculate number of other voice parts first, then simplify the ratio Sopranos:Other Voices.

 

WA1,HPSP,2024,Ratio and Proportion
6. Maria spent 3⁄7 of her money on a book and 1⁄4 of the remainder on a pen.
What fraction of her original money did she have left?WA1,HPSP,2024,Fractions 

 

📖 REMINDER: First find the fraction remaining after the first purchase, then find what fraction of the original that is after the second purchase.

7. A repeated pattern is formed using the numbers 2 and 1. The pattern of the first 12 numbers is shown below:
2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, ...
What is the sum of the first 80 numbers in this pattern? 

 

📖 REMINDER: Identify the repeating cycle in the pattern, calculate how many complete cycles fit into the total number, then handle any remainder.

8. Find the value of 15 + (92 + 28) ÷ 6

 

 

Answer:

 

 

📖 REMINDER: Remember the order of operations: Brackets first, then Division and Multiplication (from left to right), then Addition and Subtraction (from left to right).

 

 

WA1,HPSP,2024,Whole Numbers

9. Find the value of   5⁄12 - 1⁄4.

 

 

Answer:

 

 

📖 REMINDER: To subtract fractions, they must have the same denominator. Find a common denominator first, then subtract the numerators.

 

 

WA1,HPSP,2024,Fractions

10. What is the missing number in the following ? 3 : 5 = 21 : ?

 

 

Answer:

 

 

📖 REMINDER: In a ratio, the relationship between the numbers must stay the same. Find what number was multiplied to get from 3 to 21, then multiply the other part by the same number.

 

 

WA1,HPSP,2024,Ratio

11. Form the smallest even number using all the digits given below. Each digit can only be used once. 7, 3, 0, 6, 5, 2

 

 

Answer:

 

 

📖 REMINDER: To form the smallest number, arrange digits in ascending order. However, for an even number, the last digit must be even. Choose the smallest possible even digit for the last position, then arrange the remaining digits in ascending order from left to right.

 

 

WA1,HPSP,2024,Whole Numbers

12. Jenny spent 3⁄8 of her money and had $55 left. How much money did she have at first?

 

 

Answer: $

 

 

📖 REMINDER: If she spent a fraction of her money, the amount left is the remaining fraction. Find what fraction $55 represents, then find the whole amount.

 

 

WA1,HPSP,2024,Fractions

13. In a shop, apples are sold at the price shown below. 4 apples for $9 Mary bought 28 apples with all her
money.To buy 15 pears with the same amount of money, she will be short of $12. Given that the cost of
each pear is the same, how much does each pear cost?

 

 

Answer:  $

 

 

📖 REMINDER: First find the total amount of money Mary has by calculating the cost of the apples she bought. Then use that amount to set up an equation for the cost of the pears.

 

 

WA1,HPSP,2024,Whole Numbers

14. Chef Tan had some eggs at first. He used 1⁄6 of the total number of eggs and an additional 20 eggs on Monday.
He continued using 3⁄5 of the remaining eggs on Tuesday. He used up the remaining 40 eggs on Wednesday.
How many eggs did Chef Tan have at first?

 

 

Answer:

 

 

📖 REMINDER: Work backwards from the final amount. The eggs left at the end of Tuesday are the eggs used on Wednesday. Use the fraction used on Tuesday to find how many eggs were left at the start of Tuesday.

 

 

WA1,HPSP,2024,Fractions


 

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