GRADE 9 MATH TEST PAPER

Problem 1 :

Find the area of the design as shown below.

Solution

Problem 2 :

A cow is tied to one of the corners of a square-shaped field of sides of 10 m. The length of the rope is 7 m. How would one find the area of the field that the cow cannot graze?

Solution

Problem 3 :

Write the number 0.000001024 in scientific notation

Solution

Problem 4 :

Write the number 1.423 × 10^-6 in decimal form.

Solution

Problem 5 :

Perform the calculation and write the answer of the following in scientific notation.

(2000)² ÷ (0.0001)⁴

Solution

Problem 6 :

Solve for x

3  =  log_x729

Solution

Problem 7 :

Change 2  =  64¹⁶ to logarithmic form.

Solution

Problem 8 :

Evaluate 

log₉ (1/27)

Solution

Problem 9 :

How many integers between 100 and 999, inclusive, have the property that some permutation of its digits is a multiple of 11 between 100 and 999 For example, both 121 and 211 have this property.

Solution

Problem 10 :

Obtain the set builder representation of the set

  A  =  {1, 1/2, 1/3, 1/4, 1/5, 1/6}

Solution

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Answers

1.    441.368 cm²

2.    57.365 m²

3.    1.024 x 10⁻⁶

4.    0.000001423

5.    4 x 10²²

6.    9³  =  729

7.    1/6  =  log₆₄2

8.    3/2

9.    226

10.  A  =  {x: x  =  1/n where n is a integer}

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