New SAT Math Grid-ins Practice Test 39: Calculator Section

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1. At a certain restaurant, milkshakes cost $4 and cheeseburgers cost $6. If Al buys 1 milkshake and x cheeseburgers and spends at least $30 but no more than $46, what is one value of x?

2. A bowl with 300 milliliters of water is placed under a hole where the rain gets in. If water drips into the bowl at a rate of 7 milliliters per minute, then how many milliliters of water will be in the bowl after 50 minutes?

3. Age of the first fourteen Indian Prime Ministers upon taking office

Prime Minister Age Prime Minister Age
(years) (years)
Jawaharlal Nehru 57 V. P. Singh 58
Lal Bahadur Shastri 59 Chandra Shekhar 63
Gulzarilal Nanda 65 P. V. Narasimha Rao 69
Indira Gandhi 48 Atal Bihari Vajpayee 71
Morarji Desai 81 H. D. Deve Gowda 63
Charan Singh 76 I. K. Gujral 77
Rajiv Gandhi 40 Manmohan Singh 71

The table above shows the ages of the first 14 Indian prime ministers when they began terms in office. According to the table, what is the mean age, in years, of these prime ministers at the beginning of their terms? (Round your answer to the nearest tenth.)

4. In one month, Rama and Siham ran for a total of 670 minutes. If Rama spent 60 fewer minutes running than Siham did, for how many minutes did Siham run?

5.

A state highway department uses a salt storage enclosure that is in the shape of a cone, as shown above. If the volume of the storage enclosure is 48 π m 3 , then what is the diameter of the base of the cone, in meters?

6.

For what value of x is the function f above undefined?

7. Marginal cost is the increase or decrease in the total cost a business will incur by producing one more unit of a product or serving one more customer. Marginal cost can be calculated using the equation , where M is the marginal cost, C1 is the total cost for Q1 units, and C2 is the total cost for Q2 units.

At Carol's Steakhouse, the total cost of serving 150 customers per day is $900. Carol is interested in increasing her business, but is concerned about the effect on marginal cost.

Carol calculates that the total cost of serving 200 customers per day would be $1,600. What is the marginal cost of this increase in customers?

8. Marginal cost is the increase or decrease in the total cost a business will incur by producing one more unit of a product or serving one more customer. Marginal cost can be calculated using the equation , where M is the marginal cost, C1 is the total cost for Q1 units, and C2 is the total cost for Q2 units.

At Carol's Steakhouse, the total cost of serving 150 customers per day is $900. Carol is interested in increasing her business, but is concerned about the effect on marginal cost.

Carol successfully increases her business to 200 customers per day. However, her total cost for doing so is 50% greater than the expected $1,600. What percent greater is the actual marginal cost than the expected marginal cost, to the nearest full percent? (Note: Ignore the percent sign when entering your answer. For example, if your answer is 326%, enter 326.)