Student Name
Class / Section
Grade / Year
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School
Instructions: Read each question carefully and answer to the best of your ability. Show all working for word problems.
1.
A jacket marked at $48.75 is sold with a 15% discount, and then an 8% sales tax is applied to the discounted price. What is the final price to the nearest cent?
(3 pts)
2.
A 12.6 m rope is cut into three pieces. Two pieces measure 2.75 m and 4.8 m. The remaining rope is used to make two ties of 0.95 m each. How many meters of rope are left unused?
(3 pts)
3.
Two bottles contain 1.25 L and 0.85 L of juice. They are poured into a carafe that can hold 1.90 L. How much overflows?
(3 pts)
4.
A runner’s lap times (in minutes) are 1.28, 1.31, 1.27, and 1.35. What is the average time, and by how many seconds does it differ from a target average of 1.30 minutes?
(3 pts)
5.
On a number line, A = 2.45 and B = 7.08. Point P is 1.75 units to the right of A. Find the coordinate of P and the distance from P to B.
(3 pts)
6.
A measurement rounds to 5.62 when rounded to the nearest hundredth. State the minimum possible value, the maximum possible value (upper bound), and the width of this interval.
(3 pts)
7.
A shopper buys 3.5 kg of apples at $2.39 per kg and 1.8 kg of bananas at $1.75 per kg, paying with a $20 bill. Round only the final change to the nearest cent. How much change is received?
(3 pts)
8.
A cyclist travels at 52.5 km/h for 1.6 hours and then at 48.3 km/h for 0.75 hours. What total distance does the cyclist cover?
(3 pts)
9.
A rectangular garden is 8.4 m by 3.75 m. A uniform border of width 0.15 m is added around it. What is the area of the border?
(3 pts)
10.
The sum of three decimal numbers is 23.57. Two of them are 8.946 and 7.800. Find the third number.
(3 pts)
11.
A solution is made by mixing 0.50 L of 2.4% salt solution and 0.80 L of 1.5% salt solution. Assuming 1 L = 1000 g of solution, how many grams of salt are in the mixture?
(3 pts)
12.
A car uses 3.6 L of fuel to travel 45.0 km and 2.9 L to travel another 38.0 km. What is the overall fuel consumption in L/100 km (rounded to two decimal places)?
(3 pts)
13.
Solve for x: 3(1.2x − 0.45) = 2.7 + 0.9x.
(3 pts)
14.
An arithmetic sequence starts at 0.85 and increases by 0.35 each term. What is the sum of the first 10 terms?
(3 pts)
15.
A taxi charges a base fee of $3.50, $1.75 per km for the first 5 km, and $1.20 per km thereafter. How much does a 12.6 km ride cost?
(3 pts)
16.
A recipe uses 0.75 kg of flour to make 12 cookies. How many kilograms and grams of flour are needed to make 30 cookies?
(3 pts)
17.
A worker logged 7.6 h on Monday, 8.25 h on Tuesday, and 6.9 h on Wednesday. To average at least 8.0 h per day over a 5-day week, how many total hours must be worked on Thursday and Friday combined?
(3 pts)
18.
A stock rises from $12.48 to $14.10. What is the percent increase, rounded to two decimal places?
(3 pts)
19.
A bucket holds 12.5 L of water. A leak drips at a constant rate of 0.075 L per minute into the bucket. How long will it take to collect 3/5 of the bucket’s capacity?
(3 pts)
20.
Two phone plans are compared for 42 calls: Plan A charges $19.95 per month plus $0.35 per call; Plan B charges a flat $31.50. Which plan is cheaper and by how much?
(3 pts)
21.
Compute (4.2 + 0.86) − 1.375 =
(3 pts)
22.
7.5 ÷ 0.12, rounded to the nearest tenth, equals
(3 pts)
23.
The digit d that makes 7.d89 round to 7.9 (nearest tenth) and 7.89 (nearest hundredth) is
(3 pts)
24.
Solve for x: 0.4x + 1.27 = 3.03 ⇒ x =
(3 pts)
25.
The combined mass of 0.845 kg, 0.915 kg, and 1.075 kg is
kg
(3 pts)
26.
Write 17/40 as a decimal:
(3 pts)
27.
Complete: 2.4 +
= 3(1.05)
(3 pts)
28.
Evaluate 0.048 × 125 =
(3 pts)
29.
If y = 1.2x and x = 0.35, then y =
(3 pts)
30.
The mean of 5.84, 6.12, and 6.74 rounded to the nearest hundredth is
(3 pts)
31.
The number that satisfies 0.25 ×
= 3.75 is
(3 pts)
32.
Round 8.945 to the nearest hundredth:
(3 pts)
33.
Compute 9.8 ÷ 0.02 =
(3 pts)
34.
With exactly three decimal places, the least number that rounds to 2.31 (nearest hundredth) is
(3 pts)
35.
Find t: 6.4 + t = 2.5 × 3.2 ⇒ t =
(3 pts)
36.
Convert 3 km 45 m to kilometers as a decimal:
km
(3 pts)
37.
A rectangle’s area is 12.96 m² and one side is 3.2 m. The other side is
m
(3 pts)
38.
Decrease 5.2 by 15%:
(3 pts)
39.
Let p = 0.36 × 2.5. Then p + 1.04 =
(3 pts)
40.
Complete the equation: 7.203 +
= 10.5
(3 pts)