Mathematics Diagnostic Tests

The Mathematics Diagnostic Tests by PLS Academy are designed to help students evaluate their preparation for entry tests, FSC exams, ECAT, NUST NET, and NTS exams. These tests cover key topics in algebra, calculus, trigonometry, geometry, and statistics, allowing students to identify strengths, weaknesses, and areas that require improvement. Detailed feedback after each test helps aspirants focus on weak concepts, enhance problem-solving skills, and plan targeted revision. Whether preparing for ECAT, NUST NET, NTS, or FSC Mathematics, these diagnostic tests enable students to track progress, strengthen skills, and optimize their preparation strategy to achieve top scores.

261

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

If h² and higher powers of ‘h’ are neglected then √1+2h/1-h

1-3/2h

1+3/2h

1-2/3h

1+2/3h

2 / 20

If (|r|<1) then, (S_n =)

(frac{a_1 (1 – r^n)}{1-r})

(frac{a_1 (r^n – 1)}{1-r})

(frac{a_1 (r^n – 1)}{r-1})

(frac{a_1 (1 – r^n)}{r-1})

3 / 20

If A(-1,h), B(3,2) and C(7,3) are collinear, then h =?

-1

None of these

4 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

5 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

6 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

7 / 20

8 / 20

For an identity cot⁴+ cot²0 = cosec+0 – cosec⁴0, is:

2π

π /2

Non of these

9 / 20

47. If the discriminant is negative, then the roots are:

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

10 / 20

The conic ax²+2hxy+by+2gx+2fy+c=0 never represent a circle if:

a ≠ b. h ≠ 0

h ≠ 0

a=b

h = 0

11 / 20

If the line segment obtained by joining any two points of a region lies entirely within the region is called:

Concave

Convex

Both A and B

None

12 / 20

if y=a^x then y_n is equal to (where a>0,xxER)

a^x.Ina

a^nx.lna

a^x(lna)^n

a^nx(lna)^n

13 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

14 / 20

What will be the volume of parallelepiped represented by the vectors u = 9i – 5j, v = 6i – 7j + k, w = i – k?

15 / 20

16 / 20

The probability that a leap year selected at random will contain 53 sundays, is:

3/7

1/7

2/7

17 / 20

In any triangle ABC, with usual notation, which one of them is not true

∆ = 1/2 ab sinγ

∆ =1/2 bc sinα

∆ =1/2 α sin β γ/sin α

∆2 =s (s a)(s b)(s c)

18 / 20

19 / 20

360 students study at a school where 248 students study Turkish, 126 study Arabic, and 18 study neither. How many students study both Arabic and Turkish?

20 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

Your score is

Pos.	Name	Score	Duration
1	Anonymous	100 %	48 seconds
2	Muhammad Awais	100 %	51 seconds
3	Saad Khan	100 %	54 seconds
4	Shaista	100 %	55 seconds
5	osaid	100 %	2 minutes 41 seconds
6	ibraheem	95 %	50 seconds
7	Dawood	95 %	52 seconds
8	NONE	95 %	52 seconds
9	abdullah umar	95 %	56 seconds
10	Saad	95 %	1 minutes 1 seconds
11	abdullah umar	95 %	1 minutes 12 seconds
12	Jawad	95 %	1 minutes 26 seconds
13	NONE\	90 %	51 seconds
14	NONE	90 %	56 seconds
15	Muhammad Awais	90 %	1 minutes 6 seconds
16	12345	90 %	1 minutes 11 seconds
17	Bilal	90 %	1 minutes 30 seconds
18	ibraheem	90 %	1 minutes 34 seconds
19	Taha	90 %	1 minutes 56 seconds
20	urwah	90 %	2 minutes 14 seconds
21	sddc	90 %	2 minutes 32 seconds
22	Ahmed Nafees	90 %	4 minutes 20 seconds
23	Maham	90 %	5 minutes 16 seconds
24	Dawood	85 %	1 minutes 10 seconds
25	Arib	85 %	1 minutes 20 seconds
26	Hello 2	85 %	1 minutes 23 seconds
27	sadi	85 %	1 minutes 47 seconds
28	nelson	85 %	1 minutes 56 seconds
29	Mudasir bangash	85 %	2 minutes 20 seconds
30	Saeed	85 %	2 minutes 46 seconds
31	dawood	80 %	1 minutes
32	RIDWAN	80 %	1 minutes 13 seconds
33	N	80 %	1 minutes 39 seconds
34	Talha	80 %	1 minutes 49 seconds
35	Najeeb Ahmed	80 %	1 minutes 52 seconds
36	Saif	75 %	57 seconds
37	urwah	75 %	1 minutes 31 seconds
38	Hi	75 %	1 minutes 37 seconds
39	Ahmad	75 %	1 minutes 38 seconds
40	NOONE	75 %	1 minutes 40 seconds
41	rida	75 %	1 minutes 47 seconds
42	Nimra	75 %	1 minutes 54 seconds
43	Ahmad faiz khan	75 %	2 minutes 21 seconds
44	Muhammmad yahya	75 %	2 minutes 26 seconds
45	ma	75 %	2 minutes 47 seconds
46	JawD	75 %	2 minutes 54 seconds
47	Muhammad Awais	75 %	3 minutes 5 seconds
48	Yasir	75 %	6 minutes 16 seconds
49	raomohib	75 %	31 minutes 2 seconds
50	uzair	75 %	34 minutes 30 seconds
51	Hhh	70 %	1 minutes 37 seconds
52	amna	70 %	1 minutes 41 seconds
53	Abdullah umar	70 %	1 minutes 58 seconds
54	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
55	anand	70 %	3 minutes 5 seconds
56	mm alam	70 %	3 minutes 11 seconds
57	fjwkjsj	70 %	10 minutes 28 seconds
58	Muhammad Maaz khan	70 %	17 minutes 40 seconds
59	Jibrail	65 %	1 minutes 17 seconds
60	Noor	65 %	1 minutes 30 seconds
61	david	65 %	1 minutes 30 seconds
62	Muaz Rana	65 %	1 minutes 53 seconds
63	Adil	65 %	2 minutes 13 seconds
64	Hello	65 %	2 minutes 23 seconds
65	Tanoli Bilal	65 %	2 minutes 28 seconds
66	Abid ur Rahman	65 %	5 minutes 29 seconds
67	Ubaidullah	65 %	7 minutes 13 seconds
68	Azan	60 %	1 minutes 35 seconds
69	R	60 %	1 minutes 42 seconds
70	Sadia	60 %	2 minutes 21 seconds
71	Miqdam Haider	60 %	2 minutes 31 seconds
72	Azwa mudassar	60 %	4 minutes 59 seconds
73	Ibraheem	60 %	13 minutes 11 seconds
74	ggg	60 %	18 minutes 13 seconds
75	fatima	60 %	20 minutes 21 seconds
76	Asfg	60 %	22 minutes 59 seconds
77	op bolty	60 %	36 minutes 57 seconds
78	Nimra	60 %	50 minutes 28 seconds
79	Ayla Saeed	60 %	55 minutes 29 seconds
80	Ahmad Hassan	55 %	3 minutes 35 seconds
81	Ubaid	55 %	5 minutes 16 seconds
82	Mudasir Jamal	55 %	7 minutes 29 seconds
83	Soem	55 %	8 minutes 46 seconds
84	Muhammad Hamid	55 %	11 minutes 17 seconds
85	Taha	55 %	13 minutes 20 seconds
86	Mee	55 %	17 minutes 49 seconds
87	nemo	55 %	20 minutes 10 seconds
88	None	55 %	25 minutes 16 seconds
89	Maham	55 %	26 minutes 14 seconds
90	Uzair	55 %	28 minutes 36 seconds
91	Abdullah	55 %	41 minutes 29 seconds
92	nelson	55 %	3 hours 35 minutes 50 seconds
93	Noor	50 %	1 minutes 41 seconds
94	Hafsa	50 %	2 minutes 49 seconds
95	Zubaida	50 %	4 minutes 52 seconds
96	Ehsan shah	50 %	5 minutes 6 seconds
97	Safi	50 %	5 minutes 51 seconds
98	As	50 %	6 minutes 17 seconds
99	Sheraz	50 %	6 minutes 24 seconds
100	Iraj	50 %	7 minutes
101	rida	50 %	8 minutes 21 seconds
102	M Miqdam Haider	50 %	8 minutes 36 seconds
103	Mari	50 %	9 minutes 47 seconds
104	sadia	50 %	9 minutes 59 seconds
105	Najeeb Ahmed	50 %	10 minutes 36 seconds
106	Talha Bhatti	50 %	13 minutes 50 seconds
107	osaid	50 %	52 minutes 56 seconds
108	Dawood	45 %	27 seconds
109	GHULAM	45 %	1 minutes 58 seconds
110	Usama	45 %	2 minutes 5 seconds
111	iufudfud	45 %	2 minutes 9 seconds
112	Saif khan	45 %	2 minutes 56 seconds
113	Dileep	45 %	3 minutes 28 seconds
114	amna	45 %	3 minutes 47 seconds
115	..	45 %	4 minutes 20 seconds
116	Muaz Rana	45 %	6 minutes 14 seconds
117	Muhammmad yahya	45 %	6 minutes 22 seconds
118	Ahmad	45 %	7 minutes 34 seconds
119	Muhammad Ali	45 %	7 minutes 52 seconds
120	Jawad	45 %	8 minutes 33 seconds
121	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
122	hi	45 %	9 minutes 5 seconds
123	Haroon	45 %	14 minutes 19 seconds
124	Raj rathi	45 %	17 minutes 17 seconds
125	anand	45 %	17 minutes 35 seconds
126	Hafeezullah	45 %	21 minutes 49 seconds
127	Adnanh	45 %	59 minutes 58 seconds
128	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
129	Fawad Jillani	40 %	3 minutes 5 seconds
130	Haha	40 %	3 minutes 59 seconds
131	Huzaifa ali	40 %	4 minutes 28 seconds
132	Ahmad Ali	40 %	7 minutes 3 seconds
133	MUHAMMAD NOMAN WAJID	40 %	7 minutes 21 seconds
134	Maaz	40 %	7 minutes 52 seconds
135	ma	40 %	8 minutes 32 seconds
136	Kashif Iqbal	40 %	11 minutes 16 seconds
137	Fatima Ajmal	40 %	13 minutes 17 seconds
138	Najeeb Ahmed	40 %	13 minutes 40 seconds
139	jawad ahmed	40 %	13 minutes 50 seconds
140	TOUQEER ABBAS	40 %	14 minutes 22 seconds
141	.	40 %	15 minutes 19 seconds
142	rida	40 %	15 minutes 51 seconds
143	fawad	40 %	17 minutes 53 seconds
144	Saeed ullah shah	40 %	19 minutes 42 seconds
145	HIBA	35 %	37 seconds
146	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
147	Sadam Hussain	35 %	2 minutes 14 seconds
148	Amir	35 %	2 minutes 24 seconds
149	Jibrail	35 %	3 minutes 59 seconds
150	Haseeb	35 %	4 minutes 12 seconds
151	madiha	35 %	4 minutes 28 seconds
152	arhum	35 %	4 minutes 28 seconds
153	arya	35 %	6 minutes 1 seconds
154	Muhammad Awais	35 %	6 minutes 2 seconds
155	maaz	35 %	6 minutes 19 seconds
156	m	35 %	6 minutes 49 seconds
157	Furqan Ahmed	35 %	6 minutes 55 seconds
158	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
159	Dawood	35 %	7 minutes 24 seconds
160	Nn	35 %	7 minutes 29 seconds
161	Azwa Mudassar	35 %	9 minutes 36 seconds
162	Wajiha	35 %	10 minutes 19 seconds
163	Ahmed Nafees	35 %	12 minutes 24 seconds
164	Fatima	35 %	12 minutes 38 seconds
165	sunila	35 %	13 minutes 13 seconds
166	Ayesha	35 %	13 minutes 53 seconds
167	Moiz	35 %	14 minutes 59 seconds
168	za	35 %	15 minutes 15 seconds
169	sded	35 %	16 minutes 7 seconds
170	Usman Malik	35 %	17 minutes 9 seconds
171	A.	35 %	17 minutes 33 seconds
172	YaSiR	35 %	24 minutes 13 seconds
173	Talha	35 %	25 minutes 12 seconds
174	eman	30 %	1 minutes 15 seconds
175	tashfeen	30 %	1 minutes 37 seconds
176	M Miqdam Haider	30 %	2 minutes 34 seconds
177	Abdullah umar	30 %	2 minutes 37 seconds
178	Muhammad Abu Zar	30 %	2 minutes 44 seconds
179	Rukhsh	30 %	2 minutes 46 seconds
180	Abdullah	30 %	2 minutes 52 seconds
181	Aniya	30 %	3 minutes 8 seconds
182	Ss	30 %	4 minutes 4 seconds
183	GHULAM JILANI	30 %	4 minutes 17 seconds
184	fiza	30 %	4 minutes 43 seconds
185	Rameez	30 %	4 minutes 44 seconds
186	Sohaib Hafeez	30 %	5 minutes 4 seconds
187	ahmar	30 %	5 minutes 34 seconds
188	Ubaid	30 %	5 minutes 54 seconds
189	Asma	30 %	6 minutes 15 seconds
190	Who cares	30 %	6 minutes 46 seconds
191	Arib	30 %	7 minutes 17 seconds
192	muhammad sohaib	30 %	8 minutes 10 seconds
193	Ahmad faiz khan	30 %	8 minutes 11 seconds
194	nemo	30 %	12 minutes 51 seconds
195	Faiq Waleed	30 %	12 minutes 52 seconds
196	Ismail Ismail	30 %	14 minutes 56 seconds
197	y	30 %	16 minutes 32 seconds
198	Zeeshanjaat	30 %	18 minutes 43 seconds
199	ume ayesha	30 %	22 minutes 30 seconds
200	Ggfgh	30 %	23 minutes 33 seconds
201	PLSBOOST	25 %	33 seconds
202	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
203	anaya noor	25 %	2 minutes 21 seconds
204	H	25 %	2 minutes 38 seconds
205	Dawood	25 %	2 minutes 43 seconds
206	Kashif	25 %	3 minutes 13 seconds
207	my	25 %	4 minutes 15 seconds
208	Iqra	25 %	4 minutes 25 seconds
209	hassan	25 %	4 minutes 30 seconds
210	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
211	Saad Khan	25 %	5 minutes 13 seconds
212	Bial	25 %	5 minutes 24 seconds
213	urwah	25 %	5 minutes 31 seconds
214	Abdullah	25 %	5 minutes 38 seconds
215	Muhammad Moeen	25 %	6 minutes 33 seconds
216	Mari	25 %	6 minutes 54 seconds
217	Muneeb	25 %	7 minutes 9 seconds
218	malika	25 %	7 minutes 25 seconds
219	Sadia	25 %	9 minutes 19 seconds
220	Adil	25 %	10 minutes 5 seconds
221	adnan ashiq	25 %	10 minutes 7 seconds
222	ridwan	25 %	13 minutes 23 seconds
223	T	25 %	18 minutes 27 seconds
224	sadaf	25 %	27 minutes 34 seconds
225	groots	25 %	29 minutes 39 seconds
226	maliksubhan	20 %	1 minutes 30 seconds
227	R	20 %	2 minutes 23 seconds
228	Ayesha	20 %	2 minutes 44 seconds
229	Muhammad Ali	20 %	3 minutes
230	Hasnain	20 %	3 minutes 2 seconds
231	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
232	Noor	20 %	4 minutes 3 seconds
233	Bilal	20 %	5 minutes 7 seconds
234	Hamza	20 %	6 minutes 19 seconds
235	kk	20 %	7 minutes 5 seconds
236	Mahad	20 %	8 minutes 5 seconds
237	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
238	Wilayat Ali	20 %	9 minutes 53 seconds
239	Ubaidullah	20 %	10 minutes 58 seconds
240	Daniyal	20 %	26 minutes 24 seconds
241	anaya noor	15 %	1 minutes 19 seconds
242	Annu	15 %	2 minutes 35 seconds
243	Elsa	15 %	2 minutes 57 seconds
244	R	15 %	2 minutes 58 seconds
245	Bilal	15 %	3 minutes 44 seconds
246	Abdullah abbas	15 %	4 minutes 7 seconds
247	Safi ullah	15 %	5 minutes 22 seconds
248	Abid ur Rahman	15 %	8 minutes 34 seconds
249	Fehria Zainab	15 %	13 minutes 11 seconds
250	Talha	10 %	2 minutes 21 seconds
251	Fatima Navaid	5 %	47 seconds
252	MUHAMMAD ABDULLAH	5 %	51 seconds
253	Amina	5 %	2 minutes 2 seconds
254	anaya noor	5 %	3 minutes
255	Name	5 %	8 minutes 3 seconds
256	abdullah umar	0 %	19 seconds
257	ISRAR ALI	0 %	25 seconds
258	azan ali shah	0 %	27 seconds
259	Mahamfaryad	0 %	54 seconds
260	Alisha noor	0 %	1 minutes 9 seconds
261	Umer	0 %	1 minutes 29 seconds

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Mathematics Diagnostic Tests

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