Math SAMPLE Test 1 Answers

MATHS SAMPLE TEST ANSWERS

The maths proficiency test consists of 25 questions taken from the Kumon maths programme levels A to I. Candidates will have a maximum of 40 minutes to complete the test and they will need to show good proficiency in their use of basic addition, subtraction, multiplication, division, fractions, algebra and solving equations. Here are some examples of the type of questions contained in the test.

Kumon Europe and Africa

MATHS SAMPLE TEST ANSWERS KUMON APPLICANT PROFICIENCY TEST

Calculate the following expressions: LEVEL A

1.

18 + 9 = 27

LEVEL A

2.

14 - 9 = 5

LEVEL B

3.

+399 +402 +801 LEVEL B

4.

+835 - 595 +240 LEVEL C

5.

72 ÷ 8 = 9

6.

206 3 618

LEVEL C

LEVEL D

7.

+406 x 38 15428 LEVEL D

8.



29 R 259 273 8176

If 29 with wrong remainder, ½ point. If decimal or fraction, no penalty.

2

MATHS SAMPLE TEST ANSWERS KUMON APPLICANT PROFICIENCY TEST

Completely reduce the following number: LEVEL D

9.

5 45 72 = 8 Calculate the following expressions. (If answer is not in mixed number format, no penalty) LEVEL E

10.

3+3 = 1 7 4 5 20

LEVEL E

11.

+7 3 - 6 5 = 3 8 8 4

LEVEL E

12.

+ 2 5 x 12 = 34 6

LEVEL E

13.

1.25 ÷ 2 1 = 7 7 12

LEVEL E

14.

2 1 ÷ 2.8 = 5 3 6

LEVEL F

15.

+6 3 - 1 5 - 1 = 4 5 4 6 2 12

3

MATHS SAMPLE TEST ANSWERS KUMON APPLICANT PROFICIENCY TEST



16.

2 2 ÷ 1 7 - 11 = 7 15 17 15 9

17.

6 1-2 2+ 13 = 5 7 3 5 10 30

18.

+1 2 - 1 7 ÷ 8 1 x 13 20 8

19.

- (-2) + (-0.93) = 1.07

LEVEL F

1 = 12

LEVEL F

LEVEL F

LEVEL G

4

MATHS SAMPLE TEST ANSWERS KUMON APPLICANT PROFICIENCY TEST

Simplify or solve each expression below.

20.

4x + 9 = -3

LEVEL G

x = -3

21.

(-3a + b) + (-2a + 5b) = -5a + 6b

LEVEL G

Solve each equation below.

22.

2(3x - 4) = 3x - 11

LEVEL G

x = -1

If incorrect distributive property, ½ point. If incorrect sign, ½ point.

23.

2 x - 10 = x + 5 3 3

LEVEL G

x = -45



5

MATHS SAMPLE TEST ANSWERS KUMON APPLICANT PROFICIENCY TEST

Solve the equations.

24.

{

10x + 3y = 27

LEVEL H

3x - 5y = 73 (x, y) = (6, -11)

Many ways to begin problem, easiest to eliminate y-term, but could eliminate x-term or solve by substitution. If incorrect sign, ½ point.

25.

x2 - 6x - 7 = 0

LEVEL I

x = 7, -1

If incorrect sign, ½ point

6