Measurement Data & Geometry
(NC.5.G.1) — Plot point A at (3,4). Plot point B at (3,7). What is the distance between A and B?
3 units
(vertical distance: 7 − 4 = 3).
100 (NC.5.NBT.1) — What is 1,234.56 rounded to the nearest tenth?
1,234.6. (Rounded to tenth)
100 (NC.5.OA.2) — Evaluate the expression 3 × (4 + 5).
3 × (4 + 5) = 27
100 (NC.5.NF.3) — 5 people share 9 feet of ribbon equally. How many feet does each person get? (Answer as fraction or mixed number.)
9 ÷ 5 = 9/5 = 1 4/5.
A rope is 7 feet long. You need pieces that are each 1/3 foot long. How many pieces can you cut?
7 ÷ 1/3 = 21 pieces.
Convert 3.5 meters to centimeters. (1 m = 100 cm)
350 cm.
200 (NC.5.NBT.3) — Compare 3.142 and 3.124 using >, =, or <.
3.142 > 3.124.
200 (NC.5.OA.2) — Write an expression for: "Three times the sum of 2/3 and 1/4." Solve for the expression.
3 × (2/3 + 1/4)
200 (NC.5.NF.1) — Add: 3/4 + 7/8. Show equivalent denominator step.
3/4 + 7/8 = 6/8 + 7/8 = 13/8 = 1 5/8.
A school needs 3 rectangular garden beds. Each bed is 4 ft long, 2 ft wide, and 1 ft deep. The school orders soil in bags that each fill 1 cubic foot. How many bags of soil are needed? Show work
Volume per bed = 4×2×1 = 8 cu ft.
For 3 beds (3 x 8 = 24 cu ft) → 24 bags are needed.
A rectangular prism is 4 units long, 3 units wide, and 2 units high. What is its volume in cubic units?
24 cubic units.
300 (NC.5.NBT.5) — Compute 218 × 24 using an efficient strategy.
218 × 24 = 5,232. (218×20=4,360; 218×4=872; sum 5,232)
300 (NC.5.OA.3)—Pattern A rule: add 3. Pattern B rule: add 9. If pattern terms start at 0, what ordered pair is the 6th term (position 6) for (A,B)?
Pattern A term 6 = 0 + 5×3 = 15; Pattern B term 6 = 0 + 5×9 = 45 → ordered pair (15,45).
300 (NC.5.NF.4) — Compute 1/2 × 3/4 using an area or fraction model; give the product.
1/2 × 3/4 = 3/8.
A recipe calls for 2 1/2 cups of sugar. Maya makes 3 batches. How much sugar does she need in total? Express as a mixed number and as an improper fraction. Show steps.
2 1/2 × 3 = 5/2 × 3 = 15/2 = 7 1/2 cups
A composite solid is made of two non-overlapping rectangular prisms: one is 3×2×2, the other is 4×1×2. Find the individual volumes. Find the total volume.
3×2×2 = 12
4×1×2 = 8
total = 20 cubic units.
400 (NC.5.NBT.6) — Divide 2,406 ÷ 18. Give quotient and remainder.
2,406 ÷ 18 = 133 remainder 12. (18×133=2,394; remainder 12)
400 (NC.5.OA.2 / NC.5.NF.1) — Sandy walked 3/4 mile Monday and 1/2 mile Tuesday. On Wednesday she walked 3 times as much as Monday+Tuesday. Write and evaluate the expression for Wednesday.
Expression: 3 × (3/4 + 1/2) =
3 × (5/4) = 15/4 = 3 3/4 miles.
Sandy walked 3 3/4 miles on Wednesday.
400 (NC.5.NF.7) — Four students share 1/3 of a pan of brownies equally. How much of the whole pan does each student get? (Write and evaluate the expression.)
1/3 ÷ 4 = 1/12 of the pan.
A rectangular prism tank measures 6 m by 3 m by 2 m. Water fills 2/3 of the tank. What is the volume of water in cubic meters? Show multiplication of whole-number volume by fraction.
Tank volume = 6×3×2 = 36 m3.
Water = 36 x 2/3 = 24 m3.
(hint 12+12+12= 36 = 12x3=36)
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500 (NC.5.NBT.7) — Multiply 2.75 × 3.2. Show the product (to thousandths if needed).
2.75 × 3.2 = 8.800 → 8.8
NEW QUESTION
NEW QUESTION
500 -- A painting is 2/4 complete. The artist finishes 1/12 of the remaining work. How much of the painting is complete now?
Remaining before finishing = 1 − 2/4 = 2/4.
New complete = 2/4 + 1/12 = 6/12 + 1/12 = 7/12.
A gardener plants 4 rows of flower beds. Each row has (3 + 1/4) yards of flowers. Write an expression for the total yards of flowers and evaluate it.
Expression: 4 × (3 + 1/4) = 4 x 3 1/4 = 13 yards
(4x3= 12) + (4 x 1/4 = 1) = 13