Diagnostic Test in Mathematics Grade 10

The three arithmetic means between 6 and 70 are

• A. 22, 38, 54

• B.26, 40, 56

• C.28, 42, 58

• D. 30, 44, 60

If three arithmetic means are inserted between 17 and 41, find the second arithmetic mean.

• A. 25

• B. 29

• C. 35

• D. 37

Which of the following is the sum of all the odd integers between 5 and 102?

• A. 2592

• B. 2597

• C. 2601

• D. 2603

What is the 9th term of the given geometric sequence 4, 12, 36, 108, … ?

• A. 2600

• B. 26234

• C. 26240

• D. 26244

If three geometric means are inserted between 4 and 324, find the third geometric mean.

• A. 64

• B. 108

• C. 120

• D. 180

6. What is the sum to infinity of 12, 16, 118, 154…?

• A. $\frac{1}{4}$

• B. $\frac{1}{2}$

• C. $\frac{3}{4}$

• D. 1

A 1000mg of radioactive material of an ore sample has a half - life of 24 hours. About how much of the radioactive material will be present after 240 hours?

• A. 1.95 mg

• B. 3.9 mg

• C. 7.8 mg

• D. 15.6 mg

If (7x⁴-5x⁵-7x³+2x-3) is divided by (x+3) using synthetic division, the numbers in the first row would be

• A. -5 7 -7 0 2 -3

• B. -7 -7 -5 0 2 -3

• C. 1 7 -7 0 2 -3

• D. -3 7 -7 0 2 -5

Find the factors of x²-36.

• A. (x-36)(x+1)

• B. (x+36)(x-1)

• C. (x-6)(x+6)

• D. (x+6)(x+6)

Determine the real roots of (x-3) (x+15) (x-8).

• A. -3, 15, -8

• B. 3, -15, 8

• C. 3, 15, 8

• D. -3, -15, -8