Trang chủ Đề thi Toán Kiểm Tra Đại Học Hoa Kỳ ACT 15833

ACT Math Practice Test 1

Bộ sưu tập: Tuyển Tập Bộ Đề Thi Đại Học Hoa Kỳ (ACT) - Có Đáp Án Chi Tiết

Số câu hỏi: 20 câuSố mã đề: 1 đềThời gian: 1 giờ

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Câu 1: 1 điểm

A square field has an area of 22,500 square feet. To the nearest foot, what is the diagonal distance across the field?

A.  

150 feet

B.  

178 feet

C.  

191 feet

D.  

212 feet

E.  

260 feet

Câu 2: 1 điểm

Which of the following is equal to (n– 3)2 if n = 11?

A.  

(n + 6)(n – 6)

B.  

(n + 5)(n – 7)

C.  

(n + 4)(n – 8)

D.  

(n + 3)(n – 9)

E.  

(n + 2)(n – 10)

Câu 3: 1 điểm

In the following figure, the two triangles are similar. The lengths of their sides are shown. What is the value of yin terms of x?

Hình ảnh

A.  

x + 1

B.  

x + 2

C.  

x + 3

D.  

x + 4

E.  

x + 5

Câu 4: 1 điểm

Which of the following inequalities is represented by the following number line?

Hình ảnh

A.  

–5 < x < 5

B.  

–5 ≤ x < 5

C.  

–5 < x ≤ 5

D.  

|x| < 5

E.  

5 ≤ |x|

Câu 5: 1 điểm

When you multiply a number by 4 and then subtract 7, the result is the same as if you first subtracted 7 from the same number and then multiplied by 11. What is the number?

A.  

10

B.  

13

C.  

19

D.  

23

E.  

31

Câu 6: 1 điểm

William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?

A.  

$2,400

B.  

$2,500

C.  

$2,600

D.  

$2,800

E.  

$3,000

Câu 7: 1 điểm

The number 4 is the smallest positive integer that has exactly three factors: 1, 2, and 4. If k is the next-highest integer that also has exactly three factors, what is the sum of the three factors of k?

A.  

13

B.  

14

C.  

16

D.  

18

E.  

20

Câu 8: 1 điểm

If 5x + 3 = 10x – 17, what is the value of x?

A.  

1

B.  

2

C.  

3

D.  

4

E.  

5

Câu 9: 1 điểm

Beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift. How long did she take to paint each room?

A.  

50 minutes

B.  

1 hour and 10 minutes

C.  

1 hour and 12 minutes

D.  

1 hour and 15 minutes

Câu 10: 1 điểm

Which of the following numbers completes the sequence 3, 8, 14, 21, 29, ___?

A.  

35

B.  

36

C.  

37

D.  

38

E.  

39

Câu 11: 1 điểm

If you graph the lines 3x + 2y = –2 and 5x – y = 14 on a standard xy-graph, at which point will the lines intersect?

A.  

(1, –7)

B.  

(2, –4)

C.  

(–5, 4)

D.  

(–9, 3)

E.  

(11, 2)

Câu 12: 1 điểm

A rectangular box has two sides whose lengths are 3 centimeters and 9 centimeters and a volume of 135 cm3. What is the area of its largest side?

A.  

27 cm2

B.  

36 cm2

C.  

39 cm2

D.  

45 cm2

E.  

48 cm2

Câu 13: 1 điểm

If a and b are the two values of t that satisfy the equation t2 – 6t + 8 = 0, with a > b,what is the value of a – b?

A.  

2

B.  

4

C.  

6

D.  

8

E.  

10

Câu 14: 1 điểm

In the following figure, the two horizontal lines are parallel. Which of the following does NOT equal 180°?

Hình ảnh

A.  

(p + r)°

B.  

(p + t)°

C.  

(q + s)°

D.  

(r + s + t)°

E.  

(t + u)°

Câu 15: 1 điểm

If you multiply two integers together and then add 4, the result is 40. Which of the following could NOT be the sum of the two numbers?

A.  

12

B.  

13

C.  

15

D.  

18

E.  

20

Câu 16: 1 điểm

If f(x) = 4x2 – 5x – 5 and g(x) = 2x – 4, what is the value of g(6)f(−5)\frac{g\left ( 6 \right )}{f\left ( -5 \right )} ?

A.  

1

B.  

2

C.  

1⁄2

D.  

2⁄3

E.  

3⁄4

Câu 17: 1 điểm

If pq – 3r = 2, what is the value of q in terms of p and r?

A.  

2p + 3pr

B.  

2p – 3pr

C.  

3r+2p\frac{3r + 2}{p}

D.  

3r−2p\frac{3r - 2}{p}

E.  

2−3rp\frac{2 - 3r}{p}

Câu 18: 1 điểm

In the following triangle, what is the value of sec n?

Hình ảnh

A.  

5\sqrt{5}

B.  

252\sqrt{5}

C.  

52\frac{\sqrt{5}}{2}

D.  

55\frac{\sqrt{5}}{5}

E.  

255\frac{2\sqrt{5}}{5}

Câu 19: 1 điểm

Andrea wants to fill in two sections of her backyard with sod that must be purchased in 2-x-2-foot squares. If the two sections measure 30 x 40 feet and 60 x 80 feet, how many squares of sod does she need to buy?

A.  

1,000

B.  

1,250

C.  

1,500

D.  

1,600

E.  

2,000

Câu 20: 1 điểm

What is the slope of a line on a standard xy-plane that passes through the point (1, 3) and (4, –3)?

A.  

-1

B.  

2

C.  

-2

D.  

1⁄2

E.  

-1⁄2


 

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