End-of-Year Practice Exam Session 3: MD & G

7

The historic Balclutha sailing ship replica uses large wooden shipping crates. One crate is modeled below. It is built using unit cubes. What is the total volume?

The crate has a length of 6 units, a width of 4 units, and a height of 3 units.

Select correct volume:

A\(13\text{ cubic units}\)

B\(24\text{ cubic units}\)

C\(48\text{ cubic units}\)

D\(72\text{ cubic units}\)

Length = 6 W = 4 Height = 3

8

At a high school track meet in Sacramento, a student runs a distance of \(4.3\text{ kilometers}\). How many meters is this equivalent to? (Recall: \(1\text{ kilometer} = 1,000\text{ meters}\)).

9

A shipping pallet has a double-decker box arrangement. Box A has a base of \(10\text{ cm}\) by \(6\text{ cm}\) and a height of \(7\text{ cm}\). Box B, placed right on top, is \(6\text{ cm}\) long, \(6\text{ cm}\) wide, and \(5\text{ cm}\) high. Calculate the total composite volume of the boxes.

California EOY Math Practice Test

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California Grade 5 Mathematics

Golden State Practice Test

End-of-Year Practice Exam Session 4: Open Response

California EOY Math Quest Open Response Task

An event planner is designing an interactive historical tour map for a school trip in San Francisco. The main landmarks are charted on a coordinate plane grid below:

• The Ferry Building (Start Point) is at coordinate \((3, 2)\).
• Alcatraz Island is at coordinate \((8, 7)\).
• The Golden Gate Bridge is at coordinate \((8, 2)\).

San Francisco Tour Grid x y 0 2 4 6 8 10 2 4 6 8 10

Part A: Plot & Connect

Plot Ferry Building (F), Alcatraz Island (A), and Golden Gate Bridge (G) on the grid. Connect F to A, A to G, and G to F.

Part B: Classify Shape

What geometric shape is formed? Classify it by both its sides and its angles.

Shape: ___________________

Part C: Distance & Calculation

If each unit represents exactly \(0.65\text{ miles}\), find the physical distance along the path from Golden Gate Bridge (8, 2) to Alcatraz Island (8, 7). Show decimal multiplication.

Part D: Multi-Step Volume Connection

At the Golden Gate Bridge gift shop, souvenirs are sold in rectangular cardboard boxes that are \(8\text{ inches}\) long, \(3\text{ inches}\) wide, and \(3\text{ inches}\) high. The student group wants to pack as many souvenir boxes as possible into a shipping chest with a base of \(144\text{ square inches}\) and a height of \(10\text{ inches}\). How many souvenir boxes can fit? Show every step.

California EOY Math Practice Test

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B. \(12\text{ gallons}\)

C. \(\frac{3}{4}\text{ gallon}\)

D. \(1\frac{1}{3}\text{ gallons}\)

Standard Interpretation: Dividing a unit fraction by a non-zero whole number. Equation: \(\frac{1}{3} \div 4 = \frac{1}{3} \times \frac{1}{4} = \frac{1}{12}\).

Question 6 (5.NF.B.4 & 5.NF.B.6) Fraction Multiplication

Find \(\frac{2}{5}\) of \(\frac{3}{4}\) of total research forest land.

Calculation: \(\frac{2}{5} \times \frac{3}{4} = \frac{6}{20} = \frac{3}{10}\). Correct Answer: \(\frac{3}{10}\) or \(\frac{6}{20}\). (Students may draw a visual model of 5 vertical columns and 4 horizontal rows to show the overlapping 6 segments).

Golden State Math Quest Teacher Key

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Teacher Guide & Solution Key

Golden State Answer Key

End-of-Year Practice Exam Session 3 Solutions

Session 3: Measurement, Volume, & Data (5.MD)

Question 7 (5.MD.C.5a) Volume & Dimensions

Volume of crate built with unit cubes. Dimensions: Length = 6, Width = 4, Height = 3.

A. 13 cubic units

B. 24 cubic units

C. 48 cubic units

D. 72 cubic units (Correct)

Key Concept: Volume of rectangular prism is found by \(V = l \times w \times h\). Here, \(V = 6 \times 4 \times 3 = 24 \times 3 = 72\text{ cubic units}\).

Question 8 (5.MD.A.1) Measurement Conversion

Convert \(4.3\text{ kilometers}\) to meters.

Calculation: \(4.3 \text{ km} \times 1,000 \text{ m/km} = 4,300 \text{ meters}\). Correct Answer: 4,300 meters (or 4,300 m).

Question 9 (5.MD.C.5c) Additive/Composite Volume

Double-decker box arrangement. Box A is 10x6x7 cm. Box B is 6x6x5 cm.

Volume A = \(10 \times 6 \times 7 = 420 \text{ cm}^3\). Volume B = \(6 \times 6 \times 5 = 180 \text{ cm}^3\). Total Volume = \(420 + 180 = 600 \text{ cm}^3\). Correct Answer: 600 cubic centimeters.

Golden State Math Quest Teacher Key

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Teacher Guide & Solution Key

Golden State Answer Key

End-of-Year Practice Exam Session 4 Solutions

Session 4: Open Response Solution & Rubric (5.G & Multi-Domain)

Part A & B (5.G.A.1, 5.G.B.3, 5.G.B.4) Geometry Standard

Part A Correct Plotting: Points at F(3,2), A(8,7), and G(8,2). Connect to form a right triangle.

Part B Shape Classification: The connected shape forms a Right Isosceles Triangle.

Grader Notes: Give full credit (1 point) for Right Triangle or Right Isosceles Triangle. Give 0.5 points if they only say "triangle".

Part C (5.NBT.B.7 & 5.G.A.2) Scale Multiplication

Distance from G(8,2) up to A(8,7) is \(7 - 2 = 5\) units. If each unit is \(0.65\text{ miles}\), what is the distance?

Calculation: 5 units × 0.65 miles/unit = 3.25 miles.

Part D (5.MD.C.5) Composite Packing

Souvenir boxes dimensions: 8 × 3 × 3 inches. Shipping chest base: 144 sq in. Height: 10 in.

Step 1: Souvenir box volume \(V = 8 \times 3 \times 3 = 72 \text{ cubic inches}\).

Step 2: Shipping chest volume \(V = 144 \times 10 = 1,440 \text{ cubic inches}\).

Step 3 Division: 1,440 ÷ 72 = 20 souvenir boxes. (Correct Answer: 20 boxes)

Golden State Math Quest Teacher Key

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