**SHSAT Arithmetic Practice**

Here we are going to see some practice questions of the math topic "Arithmetic".

**Question 1 :**

|16 - 25| + √(25 - 16) =

(A) -12 (B) -6 (C) 0 (D) 6 (E) 12

**Solution :**

= |16 - 25| + √(25 - 16)

= |- 9| + √9

Since negative sign is inside the absolute value, we may convert it into positive.

= 9 + 3

= 12

Hence 12 is the answer.

**Question 2 :**

Which of the following is 81, 455 rounded to the nearest 100 ?

(A) 81, 000 (B) 81, 400 (C) 81, 500 (D) 82, 000 (E) 90, 000

**Solution :**

In hundreds place, we have 4. In order to round this digit, we have to look into the next digit.

If we have 5 or more than 5, we may add 1 and round the number.

Hence the answer is 81, 500.

**Question 3 :**

If 35% of x is 7, what is x% of 35 ?

(A) 7 (B) 20 (C) 28 (D) 35 (E) 42

**Solution :**

Given that :

35% of x = 7

From this, first let us find the value of x.

(35/100) ⋅ x = 7

x = 7(100/35)

x = 20

x% of 35 means 20% of 35,

= (20/100) of 35

= (20/100) ⋅ 35

= 7

Hence the answer is 7.

**Question 4 :**

A number is considered "blue" if sum of its digits is equal to the product of its digits. Which of the following number is "blue" ?

(A) 111 (B) 220 (C) 321 (D) 422 (E) 521

**Solution :**

111 = 1 + 1 + 1 ≠ 1 ⋅ 1 ⋅ 1

220 = 2 + 2 + 0 = 2 ⋅ 2 ⋅ 0 = 4

Hence the required number is 4.

**Question 5 :**

For any two numbers a and b, a ? b = (a + b)(a - b). For example, 10 ? 5 = (10 + 5) (10 - 5) = 15 (5) = 75. The value pf 7 ? 5.

(A) 2 (B) 12 (C) 24 (D) 36 (E) 48

**Solution :**

10 ? 5 = (10 + 5) (10 - 5) = 15 (5) = 75.

7 ? 5 = (7 + 5) (7 - 5) = 12 (2) = 24.

Hence the answer is 24.

**Question 6 :**

What is the greatest integer less than 71/6 ?

(A) 9 (B) 10 (C) 11 (D) 12 (E) 13

**Solution :**

**71/6 = 11.8**

**The greatest integer less than 11.8 is 11.**

**Hence the answer is 11.**

After having gone through the stuff given above, we hope that the students would have understood, "SHSAT Arithmetic Practice".

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