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.

312

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

2 / 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

3 / 20

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

2π

π /2

Non of these

4 / 20

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

5 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

6 / 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

7 / 20

8 / 20

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

-1

None of these

9 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

10 / 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)

11 / 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

12 / 20

13 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

14 / 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

15 / 20

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

3/7

1/7

2/7

16 / 20

17 / 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?

18 / 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})

19 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

20 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

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

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Mathematics Diagnostic Tests

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