Download BLAST Math Test

BLAST Math Test
Junior High
Name
Church
1.
a.
1
5
2
9
×
3
8
÷
5
36
+
2
5
=
b. 1
c.
889
2160
d.
1
2
e.
59
30
2. Compute the median of the following set of numbers: {2,4,5,8,16}
a. 5
b. 6
c. 7
d. 8
e. 9
3. 120 is 32% of what number?
a. 38.4
b. 100
d. 375
e. 495.5
c. 325
4. Ten less than a number is five more than twice the
number. What is the number?
a. −15
b. −5
c. 53
d. 5
e. 15
2
5. For
√ which of the following does the equation −2x + bx − 5 = 0 have no real solutions?
b. −7
c. 6
d. 9
a. − 145
e.
32
3
6. A store is having a 20% off sale. What was the original cost of a sweater that is on sale for $19.00?
a. $3.80
b. $15.20
c. $21.25
d. $23.75
e. $95.00
7. Determine the next term of the following sequence of numbers: 1, 2, 6, 42, 1806, ...
a. 2257
b. 12390
c. 12642
d. 15204
¡ −2 ¢ ¡ 2 ¢
8. Determine the value of 4
3 .
9
a. 16
b. 34
c. 29
d. 18
e. 3263442
e. 144
9.
The base of a ladder is on level ground, 5 feet from the base of a vertical wall. The ladder extends 12 feet up the
wall. How long is the ladder?
a. 12 feet
b. 13 feet
c. 14 feet
d. 15 feet
e. 21 feet
10. A cylindrical fuel tank is 3 feet long and 2 feet in diameter. How much fuel will this tank hold?
a. 3ft3
b. 6ft3
c. 3πft3
d. 12ft3
e. 12πft3
11. I have a jar with a large number of identically sized pebbles in it. The pebbles are each painted blue, red or green.
There are twice as many blue pebbles as green pebbles and three times as many red pebbles as blue pebbles. If I choose
one pebble at random from this jar, what is the probability that it will be blue?
4
a. 16
b. 13
c. 92
d. 49
e. 15
12. A rectangular solid is constructed so that its height is two more than its width and its length is four times its height.
If its volume is 980cm3 , compute its height.
a. 28cm
b. 18cm3
c. 7cm3
d. 5cm3
e. 3cm3
³
´
¡
¢
−5
13. Compute 2 × 103 6×10
4×107
a. 3 × 10−15
b. 3 × 10−9
c. 3 × 101
14. The 100th term of the sequence 50, 44, 38, 32, 26, . . . is
a. -556
b. -550
c. -544
d. 3 × 105
e. 3 × 1015
d. -538
e. 650
15. There are two services at my church. There are twice as many people that attend the first service than attend the
second service. No one attends both services. If 50 people switch from the second service to the first service then there
will be three times as many people at the first service than at the second service. Find the total number of people that
attend either service.
a. 200
b. 300
c. 400
d. 500
e. 600
q
√
16. Simplify 32
99
11 ×
1
a.
√
6
√
b. 12 2
c.
4
11
√
√
d. 132 2
6
√
e. 144 2
17.
My advanced math class has 40 students. Half the students are female and half are earning A’s. There are 28
students who are either female or are earning A’s (or both). How many males are earning A’s?
a. 6
b. 8
c. 10
d. 12
e. 20
18. Suppose the perimeter of a square in inches equals its area in square inches. Find the length of one of its sides in
inches.
√
√
a. 1
b. 2
c. 3
d. 2
e. 3
19.
a.
Simplify
5
11
2x2 +5x−12
2x2 +11x+12 .
b.
1
x+4
c.
2x−3
2x+3
d.
2x−4
2x+4
e. 2x + 4
20.
Two six-sided dice are rolled. If each die has the numbers 1, 2, 3, 4, 5 and 6 printed on their faces, what is the
probability that the sum is a prime number?
5
5
5
b. 18
c. 12
d. 59
e. 56
a. 36
21.
How many paths through the arrangement at right spell the word math if a path
must always consist of a sequence of horizontal and/or vertical steps, each step
connecting two adjacent letters? Upwards and backwards steps are allowed.
a. 8
b. 10
c. 12
M
A
T
H
A
M
A
T
T
A
M
A
d. 14
H
T
A
M
e. 16
22. When a bag of jelly beans is divided between two people, there is 1 left over. When the same bag is divided among
3 people there are 2 left over. When divided among 5 people there are 3 left over. What is the least number of jelly beans
that could be in the bag?
a. 23
b. 33
c. 43
d. 53
e. 83
23.
A police car travelling at 100mph begins chasing a crook travelling at 90mph when the crook has a 1 mile lead.
How far will the police officer travel before she catches the crook?
a. 9 miles
b. 10 miles
c. 11 miles
d. 100 miles
e. she will never catch
the crook.
24. Suppose a = 1, b = 10, c = 100, and d = 1000. Find the value of (a + b + c − d) − (a + b − c + d) + (a − b + c +
d) − (−a + b + c + d).
a. -2020
b. -1818
c. 0
d. 1111
e. 3333
25.
The circles in the picture at right are constructed so that they are each tangent
to each other and tangent to the sides of the square. If the radius of each circle
is 2cm. Find the area of the square.
a. 16cm2
26.
b. 4πcm2
c. 64cm2
d. 8πcm2
Determine the area of the figure pictured at right. The angles that appear
to be right angles in the picture are right angles and all measurements are in
centimeters.
a. 21 cm2
b. 22 cm2
c. 23 cm2
2
d. 24 cm2
e. 256cm2
6
3
¾
6
?
¾
6
-
6
-?
8
e. 25 cm2
BLAST Math Test
Junior High
Name
Church
1.
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BLAST Math Test
Junior High
ANSWERS
1. a
2. c
3. d
4. e
5. d
6. a
7. e
8. d
9. d
10. a
11. d
12. b
13. c
14. b
15. d
16. b
17. a
18. c
19. c
20. d
21. c
22. e
23. e
24. b
25. c
26. c
27. b
28. a
29. d
30. a
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