1. Find the missing number in the proportion: 8 : 7 = [ ] : 49 

 

REMINDER: In a proportion, the product of the means equals the product of the extremes. Cross-multiply to solve for the missing term.

WA2,ACSJSP,2024,Ratio
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2. Ben and Sam had a total of $120. Ben had $45. What is the ratio of the amount of money
Ben had to the amount of money Sam had? 

 

REMINDER: First find Sam's amount by subtracting Ben's amount from the total. Then write the ratio of Ben's money to Sam's money and simplify to simplest form.

 

WA2,ACSJSP,2024,Ratio
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3. A box contains 32 red balls, 12 blue balls and 16 yellow balls. Find the ratio of the number of red balls to the
number of blue balls and to the number of yellow balls. Give your answer in its simplest form.

 

 

Answer:

 

 

REMINDER: Write the three numbers in the order given: red : blue : yellow. Find the greatest common divisor (GCD) of the three numbers to simplify the ratio to its simplest form.

 

 

WA2,ACPS,2025,Ratio

4. Tom, Ali, and Raj shared a total of 360 marbles in the ratio 2 : 3 : 4. How many more marbles does Raj have than Tom?

 

 

Answer: marbles

 

 

REMINDER: Find the total number of parts in the ratio. Divide the total quantity by the total parts to find the value of one part. Multiply to find each person's share, then find the difference.

 

 

WA2,ACSJSP,2024,Ratio

5. In triangle XYZ, XY is the base of the shaded triangle. Which of the following is its height?

REMINDER: The height of a triangle is the perpendicular distance from the vertex opposite the base to the base line (or its extension).

WA2,ACSJSP,2024,Geometry
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6. What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 8 cm? 

 

📖 REMINDER: Volume of a rectangular prism = Length × Width × Height

WA2,ACSJSP,2024,TestACSJSPWA22024,Geometry
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7. Find the area of triangle ABC with base = 14 cm and height = 6 cm.

 

 

Answer: cm²

 

 

📖 REMINDER: The formula involves base, height, and the fraction ½.

 

 

WA2,ACSJSP,2024,TestACSJSPWA22024,Geometry

8. A rectangular piece of cardboard, ABCD, has a length of 20 cm and a width of 12 cm. Point E is on side AB such that AE is 5 cm.
Point F is on side DC such that DF is 5 cm. Line EF is drawn parallel to AD. The shaded part is made up of all the regions inside
the rectangle except triangle DEF. Find the area of the shaded part.

 

 

Answer: cm²

 

 

REMINDER: The shaded area is the area of the rectangle minus the area of triangle DEF. Identify the base and height of triangle DEF correctly.

 

 


 

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