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. Full worked solutions and marking guidance are provided separately to parents.
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. Finish first; then ask a parent or tutor to check your work with the separate answer-key copy. You may use extra paper for figures. This is a public practice examination; results alone are not a basis for school placement.
Parent-only answer key and marking guide are provided separately.
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.
Parent-only answer key and marking guide are provided separately.