CML Mock Contests — Grades 4 to 6
Format: 6 questions per mock contest. Suggested time: 30 minutes (no calculators). Use these to simulate a real CML meet.
Instructions: Each mock test has 6 problems of mixed topics (number sense, fractions, geometry, logic). Try one test in a timed session. Answers are at the end of the page — check only after attempting the whole test.
Mock Test 1
1) A rectangle has length 14 cm and width 6 cm. What is the length of the diagonal in simplest radical form?
2) Maya saved $24 in March and $36 in April. If she saved the same amount each week, how much did she save per week across the two months if there were 7 weeks total?
3) Evaluate: 3 1/2 × 4 2/5.
4) Find the least common multiple of 12 and 18.
5) A triangular garden has base 8 m and height 5 m. What is its area in square meters?
6) If the digits of a two-digit number add to 9 and the tens digit is 4 more than the ones digit, what is the number?
Time suggestion: 30 minutes
Mock Test 2
1) Compute 5^3 − 4 × 3 + 6.
2) A jar contains red and blue beads in ratio 3:5. If there are 40 beads total, how many red beads?
3) A bike wheel has circumference 2π feet. How far (in feet) does it travel after 120 revolutions? (Leave in terms of π.)
4) Simplify: 7/8 ÷ 1/4.
5) On a coordinate grid, point A is (2,3) and B is (−1,3). What is the distance between A and B?
6) If x + 5 = 3x − 7, what is x?
Mock Test 3
1) A shop sells pencils in packs of 8. If a class needs 150 pencils, how many packs should they buy?
2) Convert 0.375 to a fraction in lowest terms.
3) The area of a circle is 49π. What is its radius?
4) Find the next number: 4, 7, 11, 16, __.
5) A train travels 90 miles in 1.5 hours. What is its average speed in miles per hour?
6) How many diagonals does a hexagon have?
Mock Test 4
1) Evaluate: (12 − 5) × (3 + 2).
2) A ribbon 3 m long is cut into pieces of 15 cm each. How many pieces?
3) If 2/5 of a number is 18, what is the number?
4) A right triangle has legs 9 and 12. What is the hypotenuse?
5) Find the sum of the first 10 positive integers.
6) Lucy had twice as many marbles as Tom. Together they have 36 marbles. How many does Lucy have?
Mock Test 5
1) Simplify: 15 − 3 × (2 + 4) ÷ 3.
2) A rectangle’s perimeter is 54 and length is 15. What is the width?
3) Express 3/20 as a percent.
4) A bag contains 4 red, 5 blue, and 3 green marbles. What is probability of drawing a blue marble?
5) If n is an integer and 3n is between 20 and 30, inclusive, what are possible n?
6) The sum of two angles in a triangle is 110°. What is the third angle?
Mock Test 6
1) Evaluate: 2 × (4^2) + 5.
2) A recipe uses 2/3 cup sugar for 12 muffins. How much sugar for 18 muffins?
3) What is the median of the data set: 3, 7, 9, 2, 10?
4) Find the area of a triangle with sides 5, 12, 13 (right triangle).
5) A store marks an item down 25% from $80, then applies a further 10% discount. What is final price?
6) If a number leaves remainder 2 when divided by 5, give one such number between 1 and 20.
Mock Test 7
1) How many prime numbers are less than 20?
2) Simplify: (1/2 + 1/3) × 6.
3) A rectangle is split into 6 equal smaller rectangles; total area is 60. What is each small rectangle’s area?
4) If 4x − 7 = 21, find x.
5) How many faces does a cube have?
6) The product of two consecutive integers is 72. What are the integers?
Mock Test 8
1) Round 6.378 to the nearest hundredth.
2) A triangle has angles in ratio 2:3:4. Find the measures of the angles.
3) Convert 7/12 to a decimal (3 d.p.).
4) If a car travels 150 miles on 5 gallons, what is miles per gallon?
5) How many ways to arrange the letters in ‘CAT’?
6) Evaluate 9 − 4 × 2 + 6 ÷ 3.
Mock Test 9
1) Find LCM of 4, 6 and 8.
2) A pantry has 3 jars holding 250g, 400g, and 350g. What is total grams?
3) Simplify: 2/3 − 1/6.
4) A square’s perimeter is 36. What is its area?
5) If the tens digit of a two-digit number is 3 times the ones digit and sum is 12, what is the number?
6) Solve: 5(x − 2) = 20.
Mock Test 10
1) Evaluate: 8 × 7 − (3^2).
2) If 5/8 of a cake is eaten, what fraction remains?
3) A pool is 2/3 full with 400 liters. What is full capacity?
4) Find the perimeter of an equilateral triangle with side 9 cm.
5) If a number is multiplied by 6 and increased by 4 the result is 34. What is the number?
6) How many minutes are in 3 hours and 45 minutes?
Answer Key (Mock Tests 1–10)
- Test 1: 1) √(14^2+6^2)=√232=2√58 2) 60/7 3) 15.4 4) 36 5) 20 6) 54
- Test 2: 1) 119 2) 15 3) 240π 4) 7/2 5) 3 6) 6
- Test 3: 1) 19 packs 2) 3/8 3) 7 4) 22 5) 60 6) 9
- Test 4: 1) 35 2) 20 3) 45 4) 15 5) 55 6) 24
- Test 5: 1) 9 2) 12 3) 15% 4) 5/12 5) 7,8,9,10 6) 70°
- Test 6: 1) 37 2) 1 cup 3) 7 4) 30 5) $54 6) 7 (example)
- Test 7: 1) 8 2) 5 3) 10 4) 7 5) 6 6) 8 and 9
- Test 8: 1) 6.38 2) 40°,60°,80° 3) 0.583 4) 30 mpg 5) 6 6) 3
- Test 9: 1) 24 2) 1000g 3) 1/2 4) 81 5) 93 6) 6
- Test10:1) 47 2) 3/8 3) 600 L 4) 27 cm 5) 6 6) 225 minutes
Notes: some answers are given as simplest form or approximate as indicated. Use these as quick checks — provide full written solutions for classroom use.