ISEE Primary 4 Math

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ISEE Middle Level Quantitative Reasoning › ISEE Primary 4 Math

Questions 1 - 10

1

Find the mode of this set of numbers:

Explanation

The mode is the number that appears most frequently in the data set.

Answer:

2

Find the range in this set of numbers:

Explanation

First, order the numbers from least to greatest:

Then, subtract the smallest number from the largest:

Answer: The range is 11.

3

What is the pattern for the numbers in the X column to the numbers in the Y column?

Screen shot 2015 09 23 at 10.33.31 am

Add

Add

Multiply

Add

Explanation

is added to each X value to get the Y value.

To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.

4

What is the pattern for the numbers in the X column to the numbers in the Y column?

Screen shot 2015 09 23 at 10.33.31 am

Add

Add

Multiply

Add

Explanation

is added to each X value to get the Y value.

To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.

5

In a dice game, what is the probability of rolling a factor of 5 on a six-sided die?

$\frac{1}{3}$

$\frac{5}{6}$

$\frac{1}{6}$

Explanation

To find the probability of an event, we will use the following formula:

$\text{probability of event} = \frac{\text{number of ways event can happen}}{\text{total number of possible outcomes}}$

Now, given the event of rolling a factor of 5, we can calculate the following.

$\text{number of ways event can happen} = 2$

because there are 2 factors of 5 on a dice:

1
5

We can also calculate the following.

$\text{total number of possible outcomes} = 6$

because there are 6 different possible numbers we can roll on a dice:

1
2
3
4
5
6

Knowing this, we can substitute into the formula. We get

$\text{probability of rolling a factor of 5} = \frac{2}{6}$

$\text{probability of rolling a factor of 5} = \frac{1}{3}$

Therefore, the probability of rolling a factor of 5 on a dice is $\frac{1}{3}$ .

6

Which of the following phrases can be written as the algebraic expression ?

The sum of a number and seven subtracted from one hundred

The difference of a number and seven added to one hundred

The difference of seven and a number added to one hundred

One hundred subtracted from the sum of a number and seven

The correct answer is not given among the other responses

Explanation

is $x + \textrm{7}$ subtracted from one hundred.

$x + \textrm{7}$ is the sum of a number () and seven.

Therefore,

is the sum of a number and seven subtracted from one hundred.

7

Which is greater?

(A)

(B)

(B) is greater

(A) is greater

(A) and (B) are equal

It is impossible to determine which is greater from the information given

Explanation

$-7K\div (-7) = 91 \div (-7)$

$-6M \div (-6) = 72 \div (-6)$

, so .

Therefore , so (B) is greater.

8

Which is the greater quantity?

(a)

(b)

(a) is the greater quantity

(b) is the greater quantity

(a) and (b) are equal

It is impossible to determine which is greater from the information given

Explanation

Solving both equations:

$4t \div 4 = 59 \div 4$

$t = 14 \frac{3}{4}$

$3u \div 3 = 41 \div 3$

$u = 13\frac{2}{3}$

.

9

Evaluate .

Explanation

.

10

Which is the greater quantity?

(a)

(b)

(a) is the greater quantity

(a) and (b) are equal

It is impossible to determine which is greater from the information given

(b) is the greater quantity

Explanation

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