3B-EXAM-0283 points
Two rays form 120° but one ray is very short. Is the angle still obtuse? Explain.
Semester 3B · Original public practice · Internally reviewed; external trial pending
Semester practice examination
Original mixed Semester 3B examination: 58 questions, 182 points. Solutions kept on separate pages.
58 independent questions · 182 total possible points · two optional sittings. Write all answers on paper, include units, show fraction reasoning, and draw or label diagrams when requested. Do not open the solutions page until finished. You may use extra paper for figures. This is a public practice examination; results alone are not a basis for school placement.
Exam coverage by chapter
| Chapter | Questions | Points |
|---|---|---|
| Chapter 8: Multiplication and Division with 6–9 | 9 | 28 |
| Chapter 9: Fractions — Part 1 | 5 | 16 |
| Chapter 10: Fractions — Part 2 | 8 | 25 |
| Chapter 11: Measurement | 8 | 25 |
| Chapter 12: Geometry | 8 | 25 |
| Chapter 13: Area and Perimeter | 8 | 25 |
| Chapter 14: Time | 6 | 19 |
| Chapter 15: Money | 6 | 19 |
Sitting 1 — 29 questions
Plan breaks as needed. This is an untimed practice examination, not a placement test.
3B-EXAM-0073 points
Compare 8 × 6 and 9 × 5. Which is larger, and by how many?
3B-EXAM-0443 points
An overnight bus departs 11:35 p.m. and arrives 12:20 a.m. the next day. Find the trip duration.
3B-EXAM-0463 points
Convert 635 cents to dollars and cents.
3B-EXAM-0193 points
A rope has 7/8 m. You cut off 1/4 m. What fraction of a meter remains?
3B-EXAM-0063 points
Find 9 × 7 without listing the nine-times table, and explain your method.
3B-EXAM-0133 points
Explain why 2/3 and 4/6 occupy the same point on a number line from 0 to 1.
3B-EXAM-0093 points
A strip is divided into 6 equal pieces. Four pieces are colored. Write the fraction and explain what 1/6 means.
3B-EXAM-0123 points
Order 2/3, 2/5, and 2/7 from least to greatest without converting to decimals.
3B-EXAM-0043 points
A library packs 91 books in stacks of 7. How many complete stacks? Check with multiplication.
3B-EXAM-0503 points
Two games cost $18.75 each. You pay with $50.00. How much change should you get?
3B-EXAM-0273 points
Two circles have diameters 8 cm and 14 cm. Find both radii and explain which circle is larger.
3B-EXAM-0033 points
A student claims 7 × 8 = 7 × 5 + 8 × 3. Is this valid? Correct the decomposition and calculate.
3B-EXAM-0584 points
A person has $25.00. They spend $8.85 and $7.70, then receive $3.50. How much money do they have?
3B-EXAM-0223 points
Write 5,026 m in kilometers and meters.
3B-EXAM-0534 points
One jar contains 1/2 L of juice and another contains 3/8 L. What is their combined volume in liters?
3B-EXAM-0403 points
Two rectangles both have perimeter 20 units: one is 2×8 and one is 4×6. Find their areas and explain.
3B-EXAM-0313 points
A triangle has two equal sides. What can you say about the angles opposite those equal sides?
3B-EXAM-0373 points
A floor consists of two nonoverlapping rectangles of areas 5×4 and 3×6 square meters. Find the combined area.
3B-EXAM-0213 points
A strip is 3 m 8 cm long; 56 cm is removed. How long remains?
3B-EXAM-0013 points
There are 6 tables with 7 chairs each. Use a fact involving five tables to find the total number of chairs.
3B-EXAM-0363 points
A rectangle has area 48 square meters and one side 6 meters. Find the other side.
3B-EXAM-0514 points
Six classes send 9 students each to a contest. They sit in rows of 8. How many complete rows and how many extra students?
3B-EXAM-0423 points
A music lesson begins at 2:35 p.m. and ends at 3:22 p.m. Find its duration.
3B-EXAM-0323 points
A quadrilateral has four equal sides but no right angles. Could it be a rhombus? Could it be a square?
3B-EXAM-0203 points
A cord measures 278 cm. Write its length in meters and centimeters.
3B-EXAM-0413 points
How many days are in 2 weeks 3 days? Show the conversion.
3B-EXAM-0293 points
A square corner fits exactly inside an angle. What type of angle is it, and how many degrees?
3B-EXAM-0263 points
Two ribbons measure 1 m 75 cm and 2 m 48 cm. They are tied end-to-end and 60 cm is cut away. How long remains?
Sitting 2 — 29 questions
Plan breaks as needed. This is an untimed practice examination, not a placement test.
3B-EXAM-0343 points
A student places 12 equal square tiles over a rectangle, but two tiles overlap and one corner is not covered. Can they conclude the area is 12 square units? Explain how to fix the tiling.
3B-EXAM-0544 points
A baker starts with 4 kg of flour, uses 1 kg 650 g, then uses 975 g. How much remains?
3B-EXAM-0153 points
A child writes 10/15 as 5/10 by subtracting 5 from top and bottom. Explain why this is incorrect and simplify properly.
3B-EXAM-0453 points
A meeting begins at 1:45 p.m., has 40 minutes of discussion, a 15-minute break, and 35 more minutes of discussion. When does it end?
3B-EXAM-0163 points
Which is larger, 4/6 or 3/4? Show a common-denominator method.
3B-EXAM-0053 points
Use repeated doubling from 2 × 9 to calculate 8 × 9.
3B-EXAM-0433 points
A game ended at 11:10 a.m. after lasting 55 minutes. What time did it begin?
3B-EXAM-0183 points
A jug contains 9/12 L of juice. A child drinks 5/12 L. How much remains in simplest form?
3B-EXAM-0113 points
Which is greater, 4/11 or 9/11? How many elevenths greater?
3B-EXAM-0574 points
A train leaves at 11:48 p.m. and arrives at 12:27 a.m. the next day. It stops for 7 minutes en route. How many minutes was it moving?
3B-EXAM-0554 points
Explain how a 10 cm diameter circle and a 5 cm radius circle compare in size.
3B-EXAM-0143 points
Create two equivalent fractions for 5/8 by multiplying numerator and denominator by 2 and by 3.
3B-EXAM-0333 points
Using a compass and a ruler, draw two concentric circles with radii 2 cm and 4 cm. Mark their common center O, label one radius on each circle, and explain how you kept the same center.
3B-EXAM-0353 points
A child writes “24 cm” for a tiled rectangle containing 24 one-square-centimeter tiles. Correct the answer and explain.
3B-EXAM-0233 points
A trail is 4 km 90 m long. A walker has completed 650 m. How much remains?
3B-EXAM-0564 points
Two rectangular playgrounds measure 4×9 m and 6×6 m. Which needs more grass, and which needs more fencing?
3B-EXAM-0103 points
On a unit number line divided into 8 equal intervals, label the sixth tick after 0. Explain why the answer is not 6/7.
3B-EXAM-0303 points
A triangle has three sides of 5 cm. Classify it and describe its angles.
3B-EXAM-0393 points
A rectangle has perimeter 30 cm and width 6 cm. Find its length.
3B-EXAM-0253 points
A sack weighs 2,640 g. Express its mass in kg and g.
3B-EXAM-0243 points
A container holds 3,075 mL. Write its capacity in liters and milliliters.
3B-EXAM-0173 points
A student says 4/7 must be larger than 3/5 because 7 > 5. Is the student correct? Use thirty-fifths.
3B-EXAM-0383 points
A child counts 4×7=28 square units for a rectangle with sides 4 cm and 7 cm. Does that answer perimeter? Correct it.
3B-EXAM-0473 points
A child has $4.76 and wants exactly $10.00. Find the difference and check it by addition.
3B-EXAM-0493 points
A bill is $15.05 and a coupon reduces it by $2.78. What is the new price?
3B-EXAM-0023 points
A garden has 7 rows of 8 plants. Split the rows into 4 and 3 rows. Find the total.
3B-EXAM-0483 points
Tickets cost $8.95 and $6.68. What is the combined cost?
3B-EXAM-0083 points
A minibus holds 9 children. How many minibuses are needed for 74 children? Explain why the division remainder matters.
3B-EXAM-0524 points
On the same-sized whole, which is larger: 5/6 or 5/8? Explain without computing decimals.