**Question 1 – “The maximum recommended pulse…”**

Explanation is fine.

**Question 2 – “If x/4 is 2 more than x/8….”**

Explanation is okay but I think plugging in the answer choices is faster.

**Question 3 – “If Mario was 32 years old….”**

Explanation is fine.

**Question 4 – “If k is an integer and…”**

Explanation is fine but a visual might be faster. Each time you move the decimal point to the next number on the right, you multiply by 10. To get .0010101 > 1000. You have to move the decimal point 6 places.

**Question 5 – “If (b-3)(4+2/b)=0 and…”**

Explanation is fine.

**Question 6 – “The number 2-0.5 is how many…”**

Explanation is okay – probably faster to realize 2-0.5=1.5 and 1-.05=.5 and then to realize 1.5 is 3 times 0.5. No need to set up variables here.

**Question 7 – “In the figure above, if F is….”**

Explanation is fine.

**Question 8 – “In which of the following pairs..”**

Explanation is good. Remember the reciprocal of number a is 1/a

**Question 9 – “The price of a certain…”**

Explanation is okay. A faster way would be to pick numbers. Using $100 for percent problems is a good choice as $1 is equal to 1%. If the television started at $100 and was then reduced by 10%, the new price would be $90 (i.e. 10% of $100 is $10). If the price was reduced further by another 10%, the new price would be $81 (i.e. 10% of $90 is $9). In total, we saved $19 dollars, which with a starting price of $100 works out to 19% off.

**Question 10 – “If there are 664,579 prime…”**

Explanation is okay. A faster way would be to realize 1% of 10 million (i.e. 107) is 100,000 (105). Since we have about 660,000 prime numbers, we have 6.6 x 100,000; 6.6 × 1% = 6.6%.