Name: ___________________________________
151009
ChEime’s up!
PRE-TEST: 6 minutes
1. Oman is 3 years older than Dorina. Eight years ago, Dorina’s age was ¾ the age of
Oman. How old is Dorina now?
a. 20
b. 19
c. 18
d. 17
e. 16
2. For a bill totalling $7.40, a cashier received 35 coins consisting of dimes and quarters.
How many of each type of coin did the cashier receive?
a. 10 d, 25 q
b. 9 d, 26 q
c. 26 d, 9 q
d. 8 d, 27 q
e. 27 d, 8 q
3. The sum of 3 consecutive integers is 34 more than the 2nd integer. Find the three
integers.
a. 14, 16, 15
b. 17, 18, 16
c. 15, 17, 16
d. 33, 34, 35
e. 20, 21, 22
4. Paula is now 18 years old and her colleague Monica is 14 years old. How many years
ago was Paula twice as old as Monica?
a. 10
b. 12
c. 15
d. 8
e. 6
5. Len can peel 30 chicos in 50 mins while little Landra can eat 1 chico in 5 mins. When
Len start peeling and Landra start eating at the same time, after how many minutes
will there be 20 available (uneaten) peeled chicos?
a. 30
b. 35
c. 40
d. 45
e. 50
6. How much water must be evaporated from a 10 kg solution which has 4% salt to make
a solution of 10% salt?
a. 4 kg
b. 6 kg
c. 3 kg
d. 5 kg
e. 2 kg
7. If 3 is subtracted from the numerator of a certain fraction, the value of the fraction
becomes 3/5. If 1 is subtracted from the denominator of the same fraction, it becomes
2/3. Find the original fraction.
a. 35/55
b. 4/7
c. 36/55
d. 6/11
e. 48/50
Name: ___________________________________
151009
ChEime’s up!
Exercise 1: 6 minutes
1. What is 315° in radians?
a. 4π/7
b. 4/7π
c. 7π/4
d. 7/4π
e. 7/3π
2. JK Rowling is planning to invest P6M. She plans to deposit a part of that amount to
Equitable-PCI Bank at an annual rate of 10% and the remaining amount to Asian Bank
at an annual rate of 12%. If at the end of the year, the total interest from the two
investments should be P690,000, how much should she invest at Asian Bank?
a. P1.5M
b. P4.5M
c. P4M
d. P3.5M
e. P2.5M
3. Two planes leave simultaneously from an airport, one flying east, and the other west.
They are 870 mi apart after ¾ h. If the eastbound plane averages 120 mi/h more than
the westbound plane, at what rate is the westbound plane flying?
a. 640 mi/h
b. 600 mi/h
c. 520 mi/h
d. 500 mi/h
e. 480 mi/h
4. Angel has 900 grams 40% salt solution. According to her mom, its not enough to make
salted egg, which needs a 50% salt solution. How many grams more of pure salt should
she add to the original salt solution?
a. 45 g
b. 90 g
c. 180 g
d. 360 g
e. 1000 g
2𝑥−2 𝑥 2 +3𝑥+2
5. Simplify: 𝑥 2 −1 ∙
a.
b.
2
c.
𝑥+1
2
𝑥+2
𝑥 3 +8
d.
31st
2
𝑥 2 −2𝑥+4
1
e.
1
𝑥 2 −2𝑥+4
𝑥 2 −𝑥+2
6. What is the
term of the series: -3, -1, 1, 3, 5, …?
a. -55
b. -57
c. 59
d. 55
7. What are the roots of the quadratic equation: x2 – 3x – 10?
a. -5, 2
b. 3, 1
c. -2, 5
d. -1, 3
e. 57
e. 5, 2
Name: ___________________________________
151009
ChEime’s up!
Exercise 2: 6 minutes
1. Working alone, Da Vinci can paint a house in 5 days and Van Gogh in 4 days. At the
start of a painting project, Da Vinci worked alone for 1 day then was joined later by
Van Gogh on the second day. How many days more did they work to finish the
house?
a. 1 day
b. 1 3/5 days
c. 1 7/9 days
d. 3 days
e. 2 ¼ days
2. Two cyclists are travelling toward one another, one at 25 km/h, the other at 30 km/h. If
they are 68.75 km apart at 7:45AM, at what time will they meet?
a. 1:15 AM
b. 1:15 PM
c. 9:00 PM
d. 9:00 AM
e. 9:15 AM
th
th
3. What is the sum from the 5 to 10 term of the series: 11, 9, 7, 5, 3, …?
a. -20
b. -12
c. 12
d. 20
e. 10
x
4. log6 + xlog4 = log4 + log(32+4 ). Find x.
a. 2
b. 3
c. 4
d. 5
e. 6
5. In a pile of logs, each layer contains one more log that the layer above and the top
contains just one log. If there are 105 logs in the pile, how many layers are there?
a. 11
b. 12
c. 13
d. 14
e. 15
3
2
6. If f(x) = x + 2 and g(x) = x – 3, what is the value of f(1)-g(-1)?
a. -5
b. -1
c. 1
d. 5
e. 3
7. What is the value of k if the points (0, -3), (k, 7), and (3, 12) are collinear?
a. 2
b. 3
c. 4
d. 5
e. 6
Name: ___________________________________
151009
ChEime’s up!
Exercise 3: 6 minutes
1. What is the distance between the two points? What is their midpoint?
Points: (7, 8) and (4,4)
a. 3, (9, 3.5)
b. 13, (3.5, 4)
c. 5, (5.5, 6)
d. 5.5, (3.5, 4)
e. 11, (6, 6.5)
2. Evaluate the expression 64x-2 + (y3)2 - 2z2 where x = 4, y = -2 and z = 3.
a. 2
b. 49
c. 50
d. 1070
e. -2
3. Three packs of orange juice were added to 4 liters of water to produce a great-tasting
juice drink. How many packs of orange juice should you add to 9 liters of water to
produce the same great-tasting mix?
a. 4/3
b. 6
c. 27/12
d. 6 ¾
e. 4/27
4. What is the value of x on the equation: 94x-2 = 320?
a. 1
b. 2
c. 3
d. 4
e. 5
4
3
5. √8 √2√8𝑥 = 2. Find x.
a. 4
b. 2
c. 3
d. 5
e. 6
6. Westville has a population of 7200, which is decreasing at a rate of 80 people per year.
Greenville has a population of 5000 and is gaining 120 people per year. In how many
years will the populations of Westville and Greenville be the same?
a. 9
b. 10
c. 11
d. 12
e. 19
7. The original price of a Prada bag is P9,500. If the bag was on sale “20% Off!” and the
customer has P10,000 in her wallet, how much would be left?
a. P 500
b. P 7,600
c. P 3,600
d. P 2,400
e. P 2,000
8. A trapezoid has an area of 36 m2 and an altitude of 4 m. Its two bases have a ratio of
4:5. What are the lengths of the bases?
a. 16, 20
b. 8, 10
c. 4, 5
d. 12, 15
e. 2, 2.5
9. Mr. Tacata has 3 daughters. The eldest goes home every 6 days. The second goes
home every 3 days. The youngest goes home every 5 days. The last time they went
home and saw each other was a Friday. What day will it be next time they go home
and see each other again?
a. Sun
b. Mon
c. Tue
d. Wed
e. Thurs
10. In the NBA 3-pt shoot-out contest, a committee decided to give a prize in the
following manner: A prize of $20 for the first basket made, $40 for the second
consecutive shot made, $80 for the third, $160 for the fourth and so on. If a contestant
won a total of $1,260, how many consecutive baskets did he make?
a. 9
b. 8
c. 7
d. 6
e. 5
Name: ___________________________________
151009
ChEime’s up!
Post-Test: 15 minutes
1. Find two consecutive odd integers such that the sum of their squares is 34.
a. 3,5
b. 5,7
c. 1,3
d. 7,9
2. The sum of two integers is 9. Twice the difference of the integers is 30. Find the two
integers.
a. 10, -3
b. 8, 1
c. 6,3
d. 12, -3
3. The sum of the ages of Mary and Martha is 34. When Mary was two-thirds her present age
and Martha was ¾ her present age, the sum of their ages was 24. How old is Martha now?
a. 18
b. 19
c. 20
d. 16
4. How many liters each of 8% alcohol and 15% alcohol does a chemist need to mix in order
to obtain 7 liters of 14% alcohol?
a. 2L, 5L
b. 1L, 6L
c. 4L, 2L
d. 3L, 4L
5. The numerator and denominator of a fraction are in the ratio 3:4. If 6 is subtracted from
the numerator, the result will be a fraction what has a value ¾ of the original fraction.
What is the numerator of the original fraction?
a. 24
b. 32
c. 18
d. 16
6. Pikachu invested at 6% interest and another investment of the same value at 12%. His
overall profit in a year is $150 less than 1/10th of the value of his whole investment. How
much did he invest at 12%?
a. $7,500
b. $6,500
c. $7,000
d. $5,500
7. Dumbledore’s mom takes 2 hours to wash 500 dishes, while Dumbledore himself takes 3
hours to wash 450 dishes. If they work together, how long will they wash 1100 dishes?
a. ½ hr
b. 2 ¾ hrs
c. 3 hrs
d. 2 ½ hrs
8. Tosha has seven times as many nickels as quarters and 1 less penny than 4 times the
number of quarters. The total value of her coins is $2.55. How many coins does she have?
a. 47
b. 29
c. 35
d. 37
9. In how many minutes after 8:20PM will the hands of the clock be 60° apart for the second
time?
a. 32.73 min
b. 54.55 min
c. 34.55 min
d. 12.73min
10. Two snails are 432 cm apart. If they travel toward each other at rates that differ by
2cm/min and it takes them 27 min to meet, what is the rate of the slower snail?
a. 9cm/min
b. 7cm/min
c. 3cm/min
d. 5cm/min
11. Joan paid an additional Php 102 as tax for the pair of jeans she bought. If the tax rate
was 12%, what was the total amount she paid for the jeans?
a. P1,232
b. P 952
c. P1,052
d. P1,472
12. The difference between a three-digit number and its reverse is 594. The sum of the
hundreds digit and the tens digit is 15, while the difference between the tens and units
digit is 3. Find the three-digit number.
a. 874
b. 696
c. 325
d. 963
13. With the wind, a falcon travels 188 miles in 4 hours. Against the wind however, it takes 5
hours to travel 165 miles. Find the speed of the wind.
a. 40mph
b. 5mph
c. 25mph
d. 7mph
14. Clark travels 1 mile in “u” hours and Lois travels 1 mile in “w” hours. If they are a mile apart
and they travel towards each other, when will they meet?
a. (u+w)/uw
b. uw/(u+w)
c. (u+w)/2
d. (u+w)uw
15. Ed Sheeran split his Php 3,000 into two investments: 4% and 12%. If the income from the
one invested at 12% is twenty pesos more than twice the income from the 4% investment,
how much was invested at 4%?
a. P 1,520
b. P 2,520
c. P 1,500
d. P 1,700
16. Ben can sew 160 baby dresses in 4 weeks, but Gwen can do it faster. Ben already finished
40 dresses when Gwen joined her. If a total of 200 dresses were sewn 1 and 3/5 weeks
after Gwen joined Ben, how many baby dresses can Gwen sew in a week?
a. 60
b. 55
c. 45
d. 50
17. Harry Potts spent exactly $250.00 in $3.00-, $6.00, and $10.00-stamps. If he bought ten $3stamps and twice as many $6-stamps as $10-stamps, how many $10-stamps did he buy?
a. 4
b. 11
c. 13
d. 10
18. When will the minute and hour hand of a clock be together between 4AM and 5AM?
a. 4:20AM
b. 4:21AM
c. 4:22AM
d. 4:23AM
19. In three years, half of Henry’s age will be 15 years less than thrice Jane’s age last year. If
Henry was 6 years old when Jane was born, how old is Henry now?
a. 16
b. 7
c. 15
d. 9
20. Eric has 30 pet ducks and goats. If in overall there are 100 animal feet in his backyard,
how many ducks are there?
a. 21
b. 10
c. 20
d. 18
21. How many liters of a 5.00-L solution of 50% alcohol should be drained and replaced with a
pure alcohol solution to have a 60% alcohol solution?
a. 1L
b. 1.5L
c. 3.5L
d. 2L
22. An inlet pipe operating alone can fill a tank in 4 hours. On the other hand, an outlet pipe
can drain it in 16 hours. One day, the inlet pipe was first opened for “t” hours, then the
outlet pipe was also opened. Two hours later, the tank is already ½ full. What is “t”?
a. ½ hr
b. ¼ hr
c. 1 hr
d. 2 hrs
23. A scooter and a car set out at 2PM from the same point heading towards the same
direction. The average speed of the scooter is 60mph slower than twice the speed of the
car. In two hours, the car is 20 miles ahead of the scooter. Find the rate of the scooter.
a. 20mph
b. 40mph
c. 30mph
d. 50mph
24. One-third the sum of three consecutive multiples of 6 is 30. Find the integers.
a. 12, 18, 24
b. 18, 24, 30
c. 24, 30, 36
d. 6, 12, 18
25. Nathaniel is selling 15 liters of palamig. Seventy percent of the palamig is coconut water.
How many liters of water should be added to this in order for the coconut water
concentration in the palamig to reduce to 50%?
a. 7.0L
b. 6.0L
c. 9.0L
d. 5.0L