SSAT Elementary Level Math : Data Analysis

Study concepts, example questions & explanations for SSAT Elementary Level Math

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Example Questions

Example Question #21 : Data Analysis

What is the missing number in the sequence?

1, 17, __, 49

Possible Answers:

\(\displaystyle 18\)

\(\displaystyle 48\)

\(\displaystyle 41\)

\(\displaystyle 33\)

\(\displaystyle 29\)

Correct answer:

\(\displaystyle 33\)

Explanation:

To find the next number in the sequence, we need to find the pattern. In this problem, the pattern is adding sixteen, so to find the missing number, we need to add 16 to the number before the blank space.

\(\displaystyle 17 + 16 = 33\)

Example Question #22 : Data Analysis

What is the missing number in the sequence?

160, 80, 40, __, 10, 5

Possible Answers:

\(\displaystyle 20\)

\(\displaystyle 35\)

\(\displaystyle 33\)

\(\displaystyle 25\)

\(\displaystyle 15\)

Correct answer:

\(\displaystyle 20\)

Explanation:

To find the next number in the sequence, we need to find the pattern. In this problem, the pattern is dividing by two, so to find the missing number, we need to divide the number before the blank space by 2.

\(\displaystyle 40 \div 2 = 20\)

Example Question #23 : How To Find The Missing Part Of A List

What is the missing number in the sequence?

\(\displaystyle 16\), \(\displaystyle 23\), __, \(\displaystyle 37\)\(\displaystyle 44\)

Possible Answers:

\(\displaystyle 37\)

\(\displaystyle 31\)

\(\displaystyle 30\)

\(\displaystyle 18\)

\(\displaystyle 25\)

Correct answer:

\(\displaystyle 30\)

Explanation:

To find the next number in the sequence, we need to find the pattern. In this problem, the pattern is adding by seven! So, to find the next number, we need to add seven more to the number before the blank space.

\(\displaystyle 23 + 7 = 30\)

Example Question #23 : Data Analysis

What is the missing number in the sequence?

\(\displaystyle 75\), __, \(\displaystyle 45\)\(\displaystyle 30\)

Possible Answers:

\(\displaystyle 60\)

\(\displaystyle 54\)

\(\displaystyle 70\)

\(\displaystyle 59\)

\(\displaystyle 62\)

Correct answer:

\(\displaystyle 60\)

Explanation:

To find the next number in the sequence, we need to find the pattern. In this problem, the pattern is subtracting by fifteen! So, to find the next number, we need to subtract fifteen from the number before the blank space.

\(\displaystyle 75 - 15 = 60\)

Example Question #61 : Data Analysis And Probability

What is the missing number in the sequence?

\(\displaystyle 16\)\(\displaystyle 8\), __, \(\displaystyle 2\)\(\displaystyle 1\)

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 3\)

\(\displaystyle 12\)

\(\displaystyle 10\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 4\)

Explanation:

To find the next number in the sequence, we need to find the pattern. In this problem, the pattern is dividing by two! So, to find the missing number, we need to divide the number before the blank space by two.

\(\displaystyle 8 \div 2 = 4\)

Example Question #62 : Data Analysis And Probability

What is the missing number in the sequence?

\(\displaystyle 1\)\(\displaystyle 3\)\(\displaystyle 9\), __, \(\displaystyle 81\)

Possible Answers:

\(\displaystyle 27\)

\(\displaystyle 39\)

\(\displaystyle 91\)

\(\displaystyle 11\)

\(\displaystyle 50\)

Correct answer:

\(\displaystyle 27\)

Explanation:

To find the next number in the sequence, we need to find the pattern. In this problem, the pattern is multiplying by three! So, to find the missing number, we need to multiply the number before the blank space by three.

\(\displaystyle 9 \times 3 = 27\)

Example Question #23 : Sets

 

 

Find the two missing numbers in the pattern:

\(\displaystyle 0, \,\frac{1}{2},\,1,\,1\frac{1}{2},\, 2,\, -\, ,-\, ,3\frac{1}{2}\)

 

Possible Answers:

\(\displaystyle 2\frac{1}{2}, 3\)

\(\displaystyle 3,\, \, 2\frac{1}{2}\)

\(\displaystyle 2\frac{1}{4},\, \, 2\frac{1}{2}\)

\(\displaystyle \frac{1}{2},\, \, 2\frac{1}{2}\)

\(\displaystyle 1,3\)

Correct answer:

\(\displaystyle 2\frac{1}{2}, 3\)

Explanation:

First, notice that the set is counting up. 

The numbers increase by \(\displaystyle \frac{1}{2}\) each time.

Therefore the correct choice is \(\displaystyle 2\frac{1}{2}\), \(\displaystyle 3\).

Example Question #24 : Sets

Find the three missing shapes in the pattern, represented by empty boxes (\(\displaystyle \square\)):

\(\displaystyle \bullet\blacksquare\blacktriangle\blacktriangledown\bullet\blacksquare\blacktriangle\blacktriangledown\bullet\blacksquare\blacktriangle\square\square\square\)

 

Possible Answers:

\(\displaystyle \blacktriangledown\blacksquare\bullet\)

\(\displaystyle \blacksquare\blacktriangle\blacktriangledown\)

\(\displaystyle \bullet\blacksquare\blacktriangle\)

\(\displaystyle \blacktriangledown\bullet\blacksquare\)

\(\displaystyle \bullet\blacktriangle\blacktriangledown\)

Correct answer:

\(\displaystyle \blacktriangledown\bullet\blacksquare\)

Explanation:

The set repeats as follows: circle, square, up arrow, down arrow, circle, square, up arrow, etc.  

We need to finish the pattern that begins with circle, square, up arrow.  

Therefore the missing shapes are down arrow, circle, square.

Example Question #24 : Data Analysis

Fill in the missing number in the pattern:

\(\displaystyle 3, 6, 9, ?, 15, 18\)

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle 11\)

\(\displaystyle 12\)

\(\displaystyle 14\)

\(\displaystyle 13\)

Correct answer:

\(\displaystyle 12\)

Explanation:

Each number is three greater than the preveious number:

3, 6, 9, 12, 15, 18. 

The missing number is 12.

Example Question #25 : Data Analysis

Find the missing number in the pattern:

\(\displaystyle 1, 1, 2, 3, ?, 8, 13, 21\)

Possible Answers:

\(\displaystyle 3\)

 

 

\(\displaystyle 8\)

\(\displaystyle 5\)

\(\displaystyle 2\)

 

 

 

 

 

 

 

 

 

 

 

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 5\)

Explanation:

This is a Fibonacci sequence.

Each number is found by adding the two numbers before it:

1+1=2

1+2=3

2+3=5

5+8=13

8+13=21

1, 1, 2, 3, 5, 8, 13, 21

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